UNIT: PATTERNS IN BIVARIATE DATA
For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to ?
a
Which is the equation of a trend line that passes through the points (3, 95) and (11, 12)? Round values to the nearest ten-thousandths.
a
Which scatterplot displays an example of a cluster?
a
Which scatterplot shows the correct division for using the Area Method to draw the trend line?
a
The scatterplot shows the number of hours that several students worked to sell tickets for a concert and the number of tickets that each student sold.Which data value would cause the interpretation of the data set to be overstated? (1, 10) (1, 60) (9, 85) (10, 80)
(1, 60)
The table shows the final score of the winning hockey team compared to the total number of goals that either team attempted during the game. Each row represents a single hockey game. Which value is an outlier in the table?Final Scores of Winning TeamTotal number of attempted goals, xFinal score of winning team, y1221311341631642052211265294 (12, 2) (13, 1) (22, 11) (29, 4)
(22, 11)
The scatterplot below shows a set of data points.Which point would be considered an outlier? (1, 5) (3, 9) (5, 4) (9, 1)
(3, 9)
The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.Game vs. Touchdown PassesGameTouchdown passes1321334253Which would be a point on the scatterplot that represents touchdown passes based on these games played? (1, 2) (2, 4) (3, 1) (5, 3)
(5, 3)
The graph below shows the daily high temperatures and bottled water sales at a local store.Daily High Temperature and Bottled Water SalesIf the temperature is F, how many bottles of water should the store expect to sell? 32 80 112 144
112
A store owner recorded the total number of customers that visited his store at the end of each hour that the store was open. He created the scatterplot, trend line, and equation below based on the data.Store CustomersAssuming that the trend continues, which is the best estimate for the number of hours that the store will have been open when the total customer count is 310? 11 12 13 14
12
Which expression can be simplified to find the slope of the line of best-fit in the scatterplot below?
134-35/16-4
Darren is finding the equation in the form for a trend line that passes through the points (2, 18) and (-3, 8). Which value should he use as b in his equation? -34 -19 2 14
14
A scientist measured the amounts of fertilizer given to plants, the heights to which the plants grew, and the amount of fruit the plants produced. The data is shown below, and the trend lines are shown below the table.If a tree is given the fertilizer and grows to 80 inches, how much fruit is the tree expected to produce? 20 87 166 171
171
Naomi recorded the total weight of different numbers of apples. Her results are shown by using the scatterplot and the trend line shown below.ApplesFor which number of apples is the prediction of the total weight an extrapolation? 6 12 15 18
18
Which expression can be simplified to find the slope of the trend line in the scatterplot?
24-79/12-2
What is the slope of the line of best-fit in the scatterplot below?
3/7
The graph below shows the hours students spent studying and their language arts test scores.Hours Spent Studying vs. Language Arts Test ScoresBased on trend line on the graph, what is the expected test score for a student who did not study? 0.5 8 40 45
40
Based on the scatterplot below, what is the most likely value for "Pounds of Apples" when "Number of Apples" is 80? 42 81 158 398
42
The points (15, 10), (25, 20), (30, 22), (40, 32), (55, 53), (60, 55) represent the time, x, it takes 6 people to travel ymiles. The scatterplot below represents the situation.TravelBased on the information above, how many miles should a person who drives for 48 minutes expect to travel? 32 miles 42 miles 48 miles 54 miles
42 miles
Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths.JewelryWhich is the best estimate of the number of beads on a cord that is 16 inches long? 5 8 44 48
48
How many points should be plotted when creating a scatterplot from the table of values below?Pages in Book vs. Time Needed to ReadNumber of pages in bookTime needed to read book (hours)200181751527521225184003035026 5 6 11 12
6
What is the slope of the line of best-fit in the scatterplot below?
7/3
The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class. Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table? 5 6 7 8
8
Which expression can be simplified to find the slope of the trend line in the scatterplot?
8-4/35-21
Carina records the height of a candle after x hours burning. Her data are shown in the graph below. Burning CandleWhich is the best estimate for the height of the candle after 1 hour? 4 cm 5 cm 8 cm 9 cm
8cm
Which statement is true about a trend line? A regression line and a trend line are opposite terms. A regression line and trend line are equivalent terms. A trend line represents only the smallest data points. A trend line represents only the largest data points.
A regression line and trend line are equivalent terms.
A store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line. Store CustomersBased on the data collected, if the store has been open 7 hours, which scenario is most likely to be true? After 1/2 hour, 1 customer had been in the store. After 6 hours, 129 customers had been in the store. After 7 hours, 175 customers had been in the store. After 8.5 hours, 225 customers had been in the store.
After 7 hours, 175 customers had been in the store.
An employer uses the linear regression equation to predict the weekly salary, y, of an employee who sells x dollars worth of merchandise. Last week, Joaquin sold $1500 worth of merchandise. The same week, Alex earned $650. Using the regression equation, which is an accurate comparison? Alex sold merchandise worth about $60 more than what Joaquin sold. Joaquin sold merchandise worth about $60 more than what Alex sold. Alex earned about $60 more than Joaquin did. Joaquin earned about $60 more than Alex did.
Alex earned about $60 more than Joaquin did.
Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true? Joseph is correct because only a line will increase along the whole data set. The scatterplot will have a positive, linear association. Joseph is correct because only a line will decrease along the whole data set. The scatterplot will have a negative, linear association. Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear. Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
The scatterplot below shows the number of coupons that are used at the grocery store and amount of money that is saved.Which statement about the scatterplot is true? As coupon use decreases, the amount of savings increases. As coupon use increases, the amount of savings increases. Regardless of high coupon use, the amount of savings remains low. Regardless of high savings, coupons use remains low.
As coupon use increases, the amount of savings increases.
The scatterplot below shows the number of hours that some high school students spend on working and on video games.Which statement about the scatterplot is true? In general, the number of hours spent working does not affect the number of hours spent on video games. In general, the amount of weekly time spent working is equal to the amount of weekly time spent on video games. As the amount of time spent working increases, the amount of time spent on video games increases. As the number of hours spent working increases, the amount of time spent on video games decreases.
As the number of hours spent working increases, the amount of time spent on video games decreases.
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo.Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.
As the temperature increases, the number of visitors decreases.
A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-values? As the x-values increase, the y-values tend to increase. As the x-values increase, the y-values tend to decrease. As the x-values decrease, the y-values tend to increase. As the x-values decrease, the y-values tend to vary randomly.
As the x-values increase, the y-values tend to increase.
Ashik claims that the graph on the right is the correct interpretation of the scatterplot, but his friend Shelby claims that the graph on the left is correct. Shelby's Graph Ashik's Graph Who is correct and why? Shelby is correct because the line of best fit has a negative slope and the trend shows a decrease in y values as the x values increase. Shelby is correct because the line of best fit matches the points as closely as possible with a weak correlation. Ashik is correct because the points are a strong correlation to this nonlinear association. Ashik is correct because points with a weak correlation can never have linear association.
Ashik is correct because the points are a strong correlation to this nonlinear association.
The data below shows the relationship of the average number of days of sunlight a certain tree gets per year, and the height of the tree. The data also shows the amount of fruit the tree bears.Sunlight Exposure, Height, and Fruit Yield of a Certain Type of TreeMiguel graphed the two sets of data as shown below.Days of Sunlight vs. HeightDays of Sunlight vs. Fruit Production Which statement is true about the association of the data sets? Both sets have positive correlation. Both sets have weak linear association. Both sets have negative correlation. There is no correlation between the sets.
Both sets have positive correlation.
The scatterplot shows the ages and values of cars that residents in a neighborhood own.Which statement about the scatterplot is true? The point (10, 15) shows there is no relationship between the age of a car and the value of a car. By excluding (10, 15), a better description can be given for the data set. By including (10, 15), the description of the data set can be understated. Although (10, 15) is an extreme value, it should be part of the description of the relationship between the age of a car and the value of the car.
By excluding (10, 15), a better description can be given for the data set.
Alya claims that the scatterplot shows a linear correlation. Enrique claims that the scatterplot has no correlation. Which statement about their claims is true? Alya is correct because the scatterplot clusters about a line with a slope of zero. Alya is correct because as the x-values increase, the y-values remain the same. Enrique is correct because the scatterplot clusters about a curve. Enrique is correct because as the x-values increase, the change has no effect on the y-values.
Enrique is correct because as the x-values increase, the change has no effect on the y-values.
The scatterplot below shows the number of hours that students read weekly and the number of hours that they spend on chores weekly.Which statement about the scatterplot is true? As the number of hours of reading increases, the number of hours spent on chores decreases. As the number of hours of reading increases, the number of hours spent on chores increases. In general, the number of hours of reading does not affect the number of hours used for chores. In general, the number of hours spent on chores is equal to the number of hours spent on reading.
In general, the number of hours of reading does not affect the number of hours used for chores.
The scatterplot shows the time that movers spent packing large boxes for a customer.Which statement about the scatterplot is true? The point (2, 10) shows that there is no relationship between the packing time and the number of boxes. Although (2, 10) is an extreme value, it should be part of the description of the relationship between packing time and number of boxes. Including the point (2, 10) could cause the description of the data set to be understated. Including the point (2, 10) could cause the description of the data set to be overstated.
Including the point (2, 10) could cause the description of the data set to be overstated.
The scatterplot shows the number of roommates and the monthly cost of rent for a group of college students.Which statement about the scatterplot is true? Including the point (2, 100) could cause the description of the data set to be overstated. Including the point (2, 100) could cause the description of the data set to be understated. The point (2, 100) shows that there is no relationship between the number of roommates and monthly rent. Although (2, 100) is an extreme value, it should be part of the description of the relationship between the number of roommates and monthly rent.
Including the point (2, 100) could cause the description of the data set to be understated.
When a scatterplot is created from a table of values, which statement is correct? It is possible for two points to have the same x-coordinate and the same y-coordinate. It is possible for two points to have the same x-coordinate, but it is impossible for them to have the same y-coordinate. It is possible for two points to have the same y-coordinate, but it is impossible for them to have the same x-coordinate. It is impossible for two points to have the same x-coordinate or the same y-coordinate.
It is possible for two points to have the same x-coordinate and the same y-coordinate.
The graphs below show the test scores for students in different subject area and the time the students spent studying for the tests.Math Scores vs. Hours Spent StudyingScience Scores vs. Hours Spent StudyingSpelling Scores vs. Hours Spent StudyingHistory Scores vs. Hours Spent StudyingWhich graph has a trend line with the least slope? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying
Spelling Scores vs. Hours Spent Studying
The graphs below show the test scores for students in different subject areas and the time the students spent studying for the tests.Math Scores vs. Hours Spent StudyingScience Scores vs. Hours Spent StudyingSpelling Scores vs. Hours Spent StudyingHistory Scores vs. Hours Spent StudyingWhich graph shows the strongest association between the hours spent studying and the test scores? Math Scores vs. Hours Spent Studying Science Scores vs. Hours Spent Studying Spelling Scores vs. Hours Spent Studying History Scores vs. Hours Spent Studying
Spelling Scores vs. Hours Spent Studying
Mackenzie investigated the relationship between the number of hours studying and the test score for some of the students in her class. She constructed the scatterplot below.Which statement is correct based on the scatterplot? There is no relationship between hours studying and test score because the points do not form a straight line. There is no relationship between hours studying and test score because there are multiple test scores for 2 hours studying. There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase. There is a relationship between study hours and test score. As the hours of studying increase, the test scores decrease.
There is a relationship between study hours and test score. As the hours of studying increase, the test scores increase.
A scatterplot is produced to compare the size of a school building to the number of students at that school who play an instrument. There are 12 data points, each representing a different school. The points are widely dispersed on the scatterplot without a pattern of grouping. Which statement could be true? There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster. As the size of a school building increases, the number of student musicians increases because the scatterplot has a cluster that increases from left to right. As the size of a school building increases, the number of student musicians decreases because the scatterplot has a cluster that decreases from left to right. The size of a school building is equal to the number of students who play an instrument because the scatterplot does not have a cluster.
There is no relationship between the size of a school building and the number of students who play an instrument because the scatterplot does not have a cluster.
Table I shows the number of hours per week a basketball player practices free throws and the percentage of free throws the player makes. Table II shows the number of hours the player practices per week and the number of points the player scores in the game.Yasmin made the graphs below to represent the data in the tables.Practice Hours vs. Free Throws MadePractice Hours vs. Points ScoredWhat comparison can be made between the two sets of data in the table? They both have strong positive correlation. They both have weak positive correlation. They both have strong negative correlation. They both have weak negative correlation.
They both have strong positive correlation.
Melanie and Tracy are each finding the equation of the trend line that fits the data in the table below.Participation in the School BandYearNumber of students201048201152201255201359Melanie uses the ordered pairs (2010, 48) and (2013, 59) to find her equation. Tracy defines x as the number of years since 2010 and uses the ordered pairs (0, 48) and (3, 59) to find her equation. How will the two girls' equations compare? They will have the same slopes and the same y-intercepts. They will have the same slopes but different y-intercepts. They will have different slopes but the same y-intercepts. They will have different slopes and different y-intercepts.
They will have the same slopes but different y-intercepts.
For the data that are shown on the graph below, which best describes within which range of x-values extrapolation occurs? and and
X<0 and x>6
A basketball coach plotted data about her shooting guard's playing time and point scoring in a scatterplot. Shooting Guard Minutes Played and Points ScoredWhich is the equation of the line of best-fit?
a
Which scatterplot shows the strongest relationship between the variable x and the variable y?
a
Which scatterplot shows the weakest positive linear association?
a
Which trend line properly describes the data relationship in the scatterplot?
b
For the data that are shown on the graph below, within which range of x values can interpolation occur? between 1 and 10 between 0 and 55 between 5 and 55 between 25 and 50
between 25 and 50
What is the name of the type of data that a scatterplot is used to analyze? univariate data bivariate data trivariate data quadvariate data
bivariate data
Which scatterplot shows that there is a relationship between the variable x and the variable y?
c
Nico measured the water level in his pool every other day for two weeks. Which statement best describes the information shown by the scatterplot and trend line. As the number of days increased, the water level always decreased. As the number of days increased, the water level always increased. As the number of days increased, the water level usually decreased. As the number of days increased, the water level usually increased.
not As the number of days increased, the water level always increased.
A scatterplot is produced to compare the number of hours that students study to their test scores. There are 25 data points, each representing a different student. The scatterplot shows a grouping of points rising from left to right. Which statement could be true? There is no relationship between the number of hours that students study and their test scores because the scatterplot does not have a cluster. As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right. As the number of hours of studying increases, test scores increase because the scatterplot has a cluster that increases from left to right. The number of hours that students study is equal to the test scores because the scatterplot does not show a cluster.
not As the number of hours of studying increases, test scores decrease because the scatterplot has a cluster that increases from left to right.
Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been the independent variable. He has hypothesized that time can never be a dependent variable. Does the scatterplot below confirm or invalidate Willis's hypothesis? It confirms his hypothesis because the scatterplot must have been created incorrectly. It confirms his hypothesis because time is the independent variable and distance traveled is the dependent variable. It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip. It invalidates his hypothesis because it is possible for the distance that is traveled during a trip to depend on the time that is spent traveling.
not It confirms his hypothesis because time is the independent variable and distance traveled is the dependent variable.
Mia's work to find the slope of a trend line through the points (3, 10) and (35, 91) is shown below.Mia's WorkStep 1Step 2Step 3What was the first error that Mia made? Mia simplified incorrectly and made the slope positive. Mia subtracted in the wrong order. Mia switched the numerator and the denominator. Mia used subtraction instead of addition.
not Mia simplified incorrectly and made the slope positive.
Miguel is calculating the slope of a line of best-fit in the scatterplot below.Which pair of points would be best for Miguel to use? P and W Q and V R and U S and T
not S and T
According to the scatterplot below, which statement is correct? The input, or dependent variable, is enrollment. The output, or dependent variable, is years in operation. The input, or independent variable, is years in operation. The output, or independent variable, is enrollment.
not The output, or dependent variable, is years in operation.
Which statement is true regarding the traits of scatterplots? The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation. The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation. The nonlinear association of a scatterplot depends on whether it has a weak or strong correlation. A scatterplot with nonlinear association will have a strong correlation. The nonlinear association of a scatterplot depends on whether it has a positive or negative correlation. A scatterplot with nonlinear correlation will have a negative correlation.
not The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation.
Which describes a correct way to construct a scatterplot? When analyzing the number of junk e-mails received each day of the week, the number of junk e-mails is the independent variable. When analyzing the number of cups of hot tea that are sold during days with varying average temperatures, temperature is the dependent variable. When analyzing shoe size according to height, shoe size is the independent variable. When analyzing the number of boys who participate in volleyball each year for several years, the number of boys is the dependent variable.
not When analyzing the number of cups of hot tea that are sold during days with varying average temperatures, temperature is the dependent variable.
Which describes a correct way to construct a scatterplot? When analyzing the number of junk e-mails received each day of the week, the number of junk e-mails is the independent variable. When analyzing the number of cups of hot tea that are sold during days with varying average temperatures, temperature is the dependent variable. When analyzing shoe size according to height, shoe size is the independent variable. When analyzing the number of boys who participate in volleyball each year for several years, the number of boys is the dependent variable.
not When analyzing the number of junk e-mails received each day of the week, the number of junk e-mails is the independent variable.
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
not b
Which of the following scatterplots would have a trend line with a negative slope?
not b
Which scatterplot shows the weakest positive linear association?
not b
A basketball coach plotted data about her shooting guard's playing time and point scoring in a scatterplot. Shooting Guard Minutes Played and Points ScoredWhich is the equation of the line of best-fit?
not c
Which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?
not c
Which scatterplot shows the strongest negative linear association?
not c
A basketball coach plotted data about her shooting guard's playing time and point scoring in a scatterplot. Shooting Guard Minutes Played and Points ScoredWhich is the equation of the line of best-fit?
not d
Loren solved the equation for b as part of her work to find the equation of a trend line that passes through the points (1, 130) and (10, 149). What error did Loren make? She should have solved for b. She should have solved for b. She should have solved for b. She should have solved for b.
not d
What type of association is shown by the scatterplot? linear, strong linear, weak nonlinear, strong nonlinear, weak
not nonlinear, weak
What is the name of the type of data that a scatterplot is used to analyze? univariate data bivariate data trivariate data quadvariate data
not quadvariate data
The equation below represents the trend line of a scatter plot showing the hours spent studying versus science test scores.The equation below represents the trend line of a scatter plot showing the hours spent studying versus math test scores.If a student does not study for either test, on which test should the student expect the higher score? on the science test because the rate of change is greater on the math test because the rate of change is greater on the science test because the y-intercept is greater on the math test because the y-intercept is greater
on the science test because the y-intercept is greater
How many variables are displayed in a scatterplot? one along the x-axis, and one along the y-axis one along the x-axis, and two along the y-axis two along the x-axis, and one along the y-axis two along the x-axis, and two along the y-axis
one along the x-axis, and one along the y-axis
Which characteristics describe the scatterplot? Check all that apply. negative correlation positive correlation strong correlation weak correlation linear nonlinear
positive correlation weak correlation linear
Jeremy surveyed students in his class about their spending habits in the school cafeteria. He used the data to create a scatterplot.How Students Spend Money in the CafeteriaWhich is the equation of his trend line?
y=3.25x-1
The scatterplot and trend line below represent the amount of money earned after completing x chores. If Jamie completed 5 chores, about how much money did she earn? $5.00 $10.00 $11.00 $14.00
$11.00
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
- 15/2
Which scatterplots have a nonlinear association? Select three options.
1,2, 4
Xavier created a scatterplot and a trend line for data that he collected by comparing the number of minutes he spent playing a game and the number of levels he passed. Video GameAccording to the graph, which combination of minutes played and levels passed seem most likely to be possible? 2 minutes played and 3 levels passed 17 minutes played and 35 levels passed 20 minutes played and 9 levels passed 50 minutes played and 19 levels passed
20 minutes played and 9 levels passed
The graph below shows the heights and arm spans of several basketball players at a tournament.Height and Arm Span of StudentsBased on the graph, which is the best prediction of the arm span of a player that is 202 cm tall? 195 cm 202 cm 210 cm 352 cm
202cm
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
22/9
Andrea's work to find the equation of a trend line through the points (48, 61) and (72, 195) is shown below.Andrea's Work Step 1Step 2Step 3Step 4What was the first error that Andrea made? Andrea used the reciprocal of the slope. Andrea made a computational error when she simplified m. Andrea substituted incorrectly when she solved for b. Andrea made a sign error when she solved for b.
Andrea used the reciprocal of the slope.
Blake records the amount of daily rainfall along with the average daily temperature for several days. The scatterplot shows his data.Which statement about the outlier in the data set is true? Blake should not include the outlier because it overstates the effect of rainfall on temperature. Blake should include the outlier because it shows there is no relationship between rainfall and average daily temperature. Blake should not include the outlier because it understates the effect of rainfall on temperature. Blake should include the outlier because it shows there is a relationship between rainfall and temperature.
Blake should not include the outlier because it overstates the effect of rainfall on temperature.
Jordan is calculating the slope of the trend line in the scatterplot below.How can Jordan use the plot to check the reasonableness of his answer? His slope should be positive because the coordinates of all the plotted points are positive. His slope should be positive because the trend line is slanted up to the right. His slope should be negative because there are plotted points not on the line. His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
His slope should be positive because the trend line is slanted up to the right.
Hugo recorded the height of each plant after he exposed each plant to a set amount of sunlight daily. The scatterplot shows his results after 2 weeks of exposing each plant to a set amount of sunlight.Which statement about the outlier in the data set is true? Hugo should not include the outlier because it lessens the effect of showing that sunlight helps plants grow. Hugo should include the outlier because it shows there is no relationship between hours of sunlight and plant height. Hugo should not include the outlier because it strengthens the effect of showing that sunlight helps plants grow. Hugo should include the outlier because it shows there is a relationship between hours of sunlight and the height of the plant.
Hugo should not include the outlier because it lessens the effect of showing that sunlight helps plants grow.
Which pair of points should be used to find the line of best-fit for the scatterplot?. J and L J and M K and L K and M
K and M
Adele and Monte are discussing graphs with negative correlation. Adele claims that only graph B has negative correlation. Monte claims that both scatterplots have a negative correlation. Graph A Graph B Which statement it true regarding their claims? Adele is correct because only lines may have a negative slope. Adele is correct because the y values increase as the x values decrease in graph A, so it shows a positive correlation. Monte is correct because both graphs show a strong correlation. Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.
Monte is correct because in both scatterplots, the y values decrease as the x values increase so both have a negative correlation.
Miguel is calculating the slope of a line of best-fit in the scatterplot below.Which pair of points would be best for Miguel to use? P and W Q and V R and U S and T
Q and V
Victoria created the scatterplot below based on the data in the table for the ages and heights of some teachers in her school. Teacher Age vs. HeightTeacherAgeHeight (in.)136622287035060444725586862465She wants to see if a teacher's height depends on his or her age. What did she do wrong when she created the scatterplot? She mixed up the independent and dependent variables. She labeled the x-axis of the scatterplot "Age" when she should have labeled it "Teacher." She plotted the point (36, 62) when she shouldn't have. She mixed up the x- and y-coordinates of the point representing teacher 3.
She mixed up the x- and y-coordinates of the point representing teacher 3.
A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship are true? Check all that apply. The data set would have a linear association. The data set would have a nonlinear association. The data set would have a positive correlation. The data set would have a negative correlation. Every student earns 16 more points for each additional hour they study. Students that study more tend to earn better grades on the test.
The data set would have a linear association. The data set would have a positive correlation. Students that study more tend to earn better grades on the test.
Which statement is correct when a scatterplot is constructed? The independent variable is the input variable and should be represented by the x-axis. The independent variable is the input variable and should be represented by the y-axis. The dependent variable is the input variable and should be represented by the x-axis. The dependent variable is the input variable and should be represented by the y-axis.
The independent variable is the input variable and should be represented by the x-axis.
The scatterplot below shows a set of data points.Which statement about the scatterplot is true? The scatterplot does not have a cluster, and the variables are not related. The scatterplot does not have a cluster, and the variables are related. As x increases, y increases. The scatterplot has a cluster, and the variables are not related. The scatterplot has a cluster, and the variables are related. As x increases, y increases.
The scatterplot has a cluster, and the variables are related. As x increases, y increases.
Which describes the correlation shown in the scatterplot? There is a positive correlation in the data set. There is a negative correlation in the data set. There is no correlation in the data set. More points are needed to determine the correlation.
There is a negative correlation in the data set.
Which describes the correlation shown in the scatterplot? There is a positive correlation in the data set. There is a negative correlation in the data set. There is no correlation in the data set. More points are needed to determine the correlation.
There is a positive correlation in the data set.
An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot.Which statement is correct based on the scatterplot? There is no relationship between price and gift baskets sold because the points do not form a straight line. There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.
Which scatterplot shows the weakest negative linear correlation?
c
Which describes the correlation shown in the scatterplot? There is a positive linear correlation. There is a negative linear correlation. There is no positive or negative correlation. There is a nonlinear correlation.
There is no positive or negative correlation.
Which describes a correct way to construct a scatterplot? When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable. When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable. When analyzing the number of registered voters by age, age is the dependent variable. When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
The graph below shows the heights and arm spans of students in a class.Height and Arm Span of StudentsWhat association is there between height and arm span? a positive correlation no correlation a very weak correlation a negative correlation
a positive correlation
The enrollment at East Valley High School over a six-year period is displayed in the scatterplot.Student Enrollment at East Valley High SchoolWhich is the equation of the line of best-fit for this scatterplot?
d
Which scatterplot shows no correlation?
d
Which scatterplot is labeled correctly if it is meant to show the relationship between the number of minutes that gym members spend running on a treadmill and the number of calories that they burn?
b
Which graph shows data that would allow the most accurate prediction for the number of water bottles a vendor sells based on the daily high temperature?Graph ADaily High Temperatures and Bottled Water SalesGraph BDaily High Temperatures and Bottled Water Sales Graph CDaily High Temperatures and Bottled Water SalesGraph DDaily High Temperatures and Bottled Water Sales graph A graph B graph C graph D
graph c
Tyrese graphed the scatterplot below to show the weight and the number of apples he picked.There is a relationship between the variables, because as the number of apples increases, the weight of the apples
increased
Which pair of points should be used to find the line of best-fit for the scatterplot?. J and L J and M K and L K and M
k and m
What is the name of the method for drawing a trend line for the data in a scatterplot in which an oval is drawn around all the points in the scatterplot except the outliers? the oval method the divide-center method the area method the regression calculator method
the area method
The table shows the number of hours spent studying for a history final exam and the score on that exam. Each row represents a single student. Which value is an outlier in the table below?Exam ScoresNumber of hours spent studying, xExam score (out of 100), y1.5652683.5714.5984.5826846.588785780 (1.5, 65) (3.5, 71) (4.5, 98) (6.5, 88)
not (6.5, 88)
Bryce wrote the linear regression equation to predict the armspan, y, of a person who is x inches tall. Riley has an armspan of 67.5 inches. Which is the best prediction of Riley's height? 54.36 inches 65.84 inches 66.55 inches 69.36 inches
not 69.36 inches
The table shows the weight of a dog in pounds at various ages in months.Age vs. Weight of a DogAge in monthsWeight in pounds3245678109111215What values should be entered for x and y into a regression calculator to find the equation of the trend line? x: 3, 4, 6, 8, 9, 12y: 2, 5, 7, 10, 11, 15 x: 3, 4, 6, 8, 9, 15y: 2, 5, 7, 10, 11, 12 x: 2, 5, 7, 10, 11, 15y: 3, 4, 6, 8, 9, 12 x: 2, 5, 7, 10, 11, 12y: 3, 4, 6, 8, 9, 15
x: 3, 4, 6, 8, 9, 12y: 2, 5, 7, 10, 11, 15
Which equation of a line of best-fit reflects a negative correlation?
y=-6x+13