Algebra 1 Unit 6

The correlation is most likely a coincidence.

A manager finds a moderate negative correlation between the number of computer sales and the number of microwave sales in his store. Which statement is true? Responses The correlation is most likely a coincidence. The correlation is most likely a causation. The correlation is most likely due to a lurking variable.

gas prices

A researcher finds a negative correlation between the total number of people driving for pleasure and the sales of electric cars. Which variable is most likely the lurking variable that explains the correlation? Responses gas prices amount of rainfall water prices population

number of children in the home

A student finds a positive correlation between the number of beds in a home and the number of plates in the kitchen. Which variable is most likely the lurking variable that explains the correlation? Responses number of pets in the home number of children in the home height of tallest person in the home age of oldest person in the home

0.288 0.186 0.254 0.271

A survey asks several males and females whether they preferred sunny days or snowy days. The results of the survey are shown in the two-way table. Enter your answers in the boxes to convert the two-way table to a two-way relative frequency table. Express the answers in decimal form and round to the nearest thousandth.

52.4%

A survey was done where males and females were asked if they would prefer to eat chicken or steak. The results of the survey are shown in the two-way frequency table. What percent of the males surveyed prefer chicken? Enter your answer to the nearest tenth of a percent in the box.

4, 9, 13, 15, 8, 23, 19, 17, 36

A survey was taken of 36 people to see if they owned a car and/or a truck. The results are shown in the Venn diagram. Enter your answers in the boxes to complete the two-way table based on the given data.

For every additional adult at the park, the number of children increases by about 7.

For neighborhood parks of a given size, the equation yˆ=7.219x+2.033 models the number of children at a park, where x is the number of adults at the park.What does the slope of the equation represent in context of the situation? Responses For every additional adult at the park, the number of children increases by about 7. Every day, the number of children at the park increases by about 7. For every additional adult at the park, the number of children increases by about 2. For every 2 additional adults at the park, the number of children increase by about 7.

exponential

Joel wants to find the best model for a bivariate data set. He used a calculator to create a linear model, a quadratic model, and an exponential model.The coefficient of determination for the linear model was 0.85.The coefficient of determination for the quadratic model was 0.78.The coefficient of determination for the exponential model was 0.91.Which model should he use to represent the data set? Responses exponential linear quadratic

11, 4, 15, 10, 18, 28, 19, 14, 33, 40, 36, 76

Seventy-six people were asked what their favorite meal of the day is. Twenty-eight said lunch was their favorite meal of the day. Thirty-three said dinner was their favorite meal of the day. Eighteen women said their favorite meal of the day was lunch. Nineteen men said their favorite meal of the day was dinner. Thirty-six of the people who were asked are women. Enter your answers in the boxes to complete the two-way table based on the given data.

17, 20, 37, 5, 21, 26, 22, 41, 63

Sixty-three people participated in a study to see if they were left-brain dominant or right-brain dominant. In the study, the people were also asked if they were left-handed or right-handed. The study revealed that 37 were left-brain dominant. The study also revealed that 21 were right-handed and right-brain dominant. Twenty-two people in the study were left-handed. Enter your answers in the boxes to complete the two-way table based on the given data.

Point , H Point K

Which points in the scatter plot are outliers?Select each correct answer. Responses Point E Point , F Point G Point , H Point K

perfect positive association

Which statement best describes the association between variable X and variable Y? Responses moderate negative association perfect negative association moderate positive association perfect positive association

about 125 g

The equation yˆ=0.8579x+73.4728 models the mass of a mammal's brain, in grams, where x is the mass of the mammal, in kilograms.According to the regression equation, what is the approximate mass of a mammal's brain with a body that has a mass of 60 kg? Responses about 74 g about 83 g about 125 g about 150 g

If no one came to the dinner, the charity would still raise about $1250.

The equation yˆ=105.416x+1249.309 models the amount of money, in dollars, a charity raises during an annual event when x people attend the charity dinner. What does the y-intercept of the equation represent in the context of the situation? Responses It costs the charity $1250 to host the dinner. If no one came to the dinner, the charity would still raise about $1250. It costs the charity $105 to host the dinner. If no one came to the dinner, the charity would still raise about $105.

41,905

The equation yˆ=31314·1.06x estimates the population of a town x years after the year 1995.What is the estimated population of the town in the year 2000? Responses 33,193 39,533 41,905 44,420

42

The equation ​yˆ=−5.131x2+31.821x−3.333​ approximates the number of people standing in line to catch a commuter train x hours after 5 a.m.What is the best estimate for the number of people in line at 9 a.m.? Responses 32 40 42 46

The regression line is not a good model because the residuals are not randomly distributed.

The residual plot for a data set is shown. Based on the residual plot, which statement best explains whether the regression line is a good model for the data set and why? Responses The regression line is a good model because there is a pattern in the residuals. The regression line is not a good model because the residuals are not randomly distributed. The regression line is a good model because the points in the residual plot are approximately linear. The regression line is not a good model because only one point in the residual plot is on the x-axis.

The regression line is a good model because the points in the residual plot are close to the x-axis and randomly spread around the x-axis.

The residual plot for a data set is shown. Based on the residual plot, which statement best explains whether the regression line is a good model for the data set and why? Responses The regression line is not a good model because there is no pattern in the residuals. The regression line is not a good model because only one point in the residual plot is on the x-axis. The regression line is a good model because the residuals approach 0 as x increases. The regression line is a good model because the points in the residual plot are close to the x-axis and randomly spread around the x-axis.

Connie, Josie, Patrick, Mimi, Emma

The scatter plot shows the number of pigs and cows on various farms. Which farmers had more cows than pigs? Responses Mimi, Yosef, Jacob, Emiel, Jaylan, Harold Connie, Josie, Patrick, Mimi, Emma Emiel, Jackson, Jacob, Harold, Yosef Connie, Josie, Jackson, Jose'

1

The scatter plot shows the results of a survey in which 10 people were asked how many e-mail accounts and how many credit cards they have.How many credit cards does the person with 3 e-mail accounts have? Enter your answer in the box.

moderate negative association

Which statement best describes the association between variable X and variable Y? Responses moderate positive association moderate negative association perfect positive association perfect negative association

fourth

Which two-way table contains the same information as the Venn diagram?

second

There are 40 markers in a bag. Of the 10 scented markers, 6 are permanent markers. Half of the unscented markers are erasable. Which two-way table is correct?

temperature

There's a negative correlation between coat sales and ice cream sales. Which variable is most likely the lurking variable that explains the correlation? Responses population amount of precipitation amount of traffic temperature

Use the point tool to graph the residual plot for the data set.

These are the values in Irwin's data set. (1,43),(3,36),(5,22),(6,25),(8,14) Irwin determined the equation of a linear regression line and determined that these are the predicted values. (1,44),(3,35),(5,26),(6,22),(8,13)

strong negative

Two variables are correlated with r=−0.925.Which description best describes the strength and direction of the association between the variables? Responses strong negative moderate positive moderate negative strong positive

0.771

What is the correlation coefficient between the variables?Round to three decimal places. Enter your answer in the box.

yˆ=32.11·1.08x

What is the exponential regression equation for the data set? Responses yˆ=1.08·32.11x yˆ=32.11·0.08x yˆ=(1.08·32.11)x yˆ=32.11·1.08x

41.8%

What is the probability that a randomly selected person is on the swim team? Express the probability as a percent rounded to the nearest tenth of a percent. Enter your answer in the box.

7.7%

What is the probability that a randomly selected pet is a female puppy? Express the probability as a percent rounded to the nearest tenth of a percent.Enter your answer in the box.

yˆ=0.093x2−1.586x+12.383

What is the quadratic regression equation for the data set? Responses yˆ=−0.093x2−1.586x+12.383 ​yˆ=0.093x2+1.586x−12.383​ yˆ=0.093x2−1.586x+12.383 ​yˆ=−0.093x2+1.586x−12.383

0.35

What is the relative frequency of plastic buttons with four holes? Round to the nearest hundredth, if needed. 0.11 0.35 0.66 0.90

−0.8

Which answer is the best estimate of the correlation coefficient for the variables in the scatter plot? Responses −0.8 −0.25 0.25 0.8

−1.5

Which answer is the best estimate of the residual value when x = 5? Responses −1.5 −0.5 0.5 1.5

the negative correlation between the price of movie tickets and the number of ticket sales at a theater

Which correlation is most likely a causation? Responses the positive correlation between the number of pet toys in a home and the number of appointments the homeowners makes with a veterinarian the positive correlation between the sales of air conditioners and the sales of bathing suits in a store the negative correlation between the price of movie tickets and the number of ticket sales at a theater the negative correlation between the sales of sleeping bags and the sales of paint brushes in a store

y hat equals 3.1x plus 18.6

Which equation of the least squares regression line most closely matches the data set? Responses y hat equals 3.1x plus 18.6 y hat equals 1.13x minus 14.69 y hat equals 0.32x minus 5.89 y hat equals 0.59x plus 3.29

y hat equals 3.5x plus 43.8

Which equation of the least squares regression line most closely matches the data set? Note: The variable x represents the years after 1990. Responses y hat equals 2.2x plus 13.8 y hat equals 5.5x plus 52 y hat equals 3.5x plus 43.8 y hat equals 2.5x minus 43.8