Making Predictions Assignment and Quiz 100%

The equation y = 9.56x + 495.35 represents the number of calories, y, consumed in one day based on a person's weight, x. Jill consumes 1850 calories daily. Jaxon weighs 120 pounds. Which is an accurate comparison? Jill weighs about 20 pounds more than Jaxon. Jaxon weighs about 20 pounds more than Jill. Jill consumes about 20 more calories than Jaxon. Jaxon consumes about 20 more calories than Jill.

Jill weighs about 20 pounds more than Jaxon.

Ragan makes beaded jewelry. The graph below shows the number of beads on varying cord lengths. Jewelry A graph has cord length (inches) on the x-axis and number of beads on the y-axis. A line goes through points (16, 48) and (24, 72). Which is the best estimate of the number of beads on a cord that is 16 inches long? 5 8 44 48

48

Antonia recorded the number of cups of hot chocolate that were sold at soccer games compared to the outside temperature. The graph below represents her data.Hot Chocolate SalesFor which temperature would the prediction of the number of cups sold be an interpolation? 21°F 35°F 49°F 63°F

49°F

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

Use the regression for Clothes-4-You coat sales to make predictions. How many coats should Clothes-4-You expect to sell when the average temperature is 80°F?24.025.126.228.1 What is the predicted temperature when 125 coats are sold?-17.0-22.9-24.3-27.0

26.2 -22.9

Ramona used the regression equation y = .444x - 21.29, where x represents height and y represents shoe size, to predict the approximate height of a man who wears a size 8.5 shoe. Ramona determined that her answer was incorrect because a man who is -17.52 inches tall does not make any sense. What was Ramona's mistake? She substituted the 8.5 for the wrong variable. She should have added .444 and 8.5. The value for y should be positive. The solution of -17.52 should be the shoe size.

She substituted the 8.5 for the wrong variable.

What is the prediction of the number of coats Clothes-4-You will sell when the outside temperature is 20ºF? Round to the nearest whole number. 1. Substitute 20 for x in the equation. 2. Simplify to find the value for y. At 20°F, about ______ coats will be sold at Clothes-4-You.

84

Pedro created a scatterplot and a trend line for data that he collected by comparing the number of minutes playing a game and the number of levels passed.Video GameBased on the information shown, which is the best prediction for the number of levels passed after playing for 20 minutes? 9 10 40 42

9

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 Joaquin 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.

A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40). Which temperature values would an interpolation be limited to? less than 0 between 0 and 60 between 20 and 80 greater than 55

between 0 and 60

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

Chester used the regression equation of the weight loss plan to make a prediction within the given data range. Complete his work to calculate the number of weekly hours of aerobic activity needed for a monthly weight loss of 3 pounds. Round to the nearest hundredth. About hours of weekly aerobic activity will result in 3 pounds of monthly weight loss.

1.94

Enter the data representing the weight loss plan where x is the weekly hours of aerobic activity and y is the pounds lost per month. Use the regression equation to complete the statements. (.25, 1), (1, 1.5), (1.2, 3), (2.25, 2.25), (2.5, 3.5), (2.8, 4), (3, 5.5), (3.5, 4.5), (4.5, 5.5), (5, 7) A person who is active for 8 hours weekly could expect to lose _____ pounds a month. To lose 5 pounds a month, a person should plan to be active for _____ hours a week.

10.2 3.6

Use the trend line for the data in the scatterplot to make a prediction. About how many pounds were lost per month with 4 hours of weekly aerobic activity? 3 pounds 4.5 pounds 6 pounds 7.5 pounds

6 pounds

The ordered pairs show (height in inches, men's shoe size). (70, 9.5) (67, 8) (69, 9) (72, 11.5) (68, 7.5) (60, 6) (71, 11) Use the regression calculator to generate the regression equation used to make predictions. What is the approximate height of a man who wears a size 7 shoe? Round to the nearest whole number. inches

64

The store Clothes-4-You keeps data on their sales. These data points represent their coat sales, where x is the average outside temperature and y is the number of coats sold. (3, 94), (12, 91), (16, 83), (21, 93), (27, 82), (29, 69), (40, 71), (43, 63), (60, 38), (52, 53) What is the best estimate for the number of coats sold when the outside temperature is 35°F?

70 coats

The scatterplot below shows the relationship between the number of gallons of gasoline in the tanks of 14 cars, and the maximum number of miles the cars can be driven on the given amount of gasoline.GasolineBased on the data collected, which combination of gallons in the gas tank and maximum number of miles seems most likely to be possible? 0 gallons in the gas tank and 20 miles 9 gallons in the gas tank and 280 miles 11 gallons in the gas tank and 360 miles 19 gallons in the gas tank and 520 miles

9 gallons in the gas tank and 280 miles

What can be concluded about the extrapolated data for this scenario? Check all that apply. The predictions will always be accurate. Eventually the coat sales will be negative, which is not possible. Eventually the temperature will increase or decrease to impossible values. The coat sales will continue to increase as the temperature increases. Some predictions may not be accurate.

Eventually the coat sales will be negative, which is not possible. Eventually the temperature will increase or decrease to impossible values. Some predictions may not be accurate.

Explain how to use the regression calculator to make a reasonable prediction given a data table.

Given data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

The equation y = 0.625x - 2.7 can be used to predict the number of minutes, y, it takes Kahlil to check x emails. On Monday, Kahlil spent 25 minutes checking emails. On Tuesday, he checked 35 emails. Which is an accurate comparison? He spent 6 minutes more checking emails on Tuesday. He spent 6 minutes more checking emails on Monday. He spent 9 minutes more checking emails on Tuesday. He spent 9 minutes more checking emails on Monday.

He spent 6 minutes more checking emails on Monday.

Compare and contrast interpolations and extrapolations based on a scatterplot.

Interpolation is predicting the value y of a function f at a point inside the range where the values and have been observed. Extrapolation is predicting the value of y when it is outside of the range defined by points and where the values and have been observed.

Steven created the scatterplot and trend line below to model the relationship between the number of innings he pitched and the number of pitches he threw in a baseball game. Baseball PitchesIf Steven threw 87 pitches, about how many innings did he pitch? 5 6 7 cannot be determined; number of pitches is outside graph

NOT: cannot be determined; number of pitches is outside graph

Can predictions be made of a scatterplot that shows no association? Explain your answer.

No, because no association means there is no relationship between the variables. So there is no pattern that results in reliable predictions.

Use the data points representing Clothes-4-You shoe sales, where x is the average temperature and y is the number of shoes sold.(5, 66), (8, 54), (11, 63), (18, 70), (24, 51), (32, 68), (36, 60), (44, 73), (50, 55) Is the sale of 90 shoes a reliable prediction when the temperature is 80°F?

No, there's no association between the variables.

Quincy claims that if 80 coats are sold, the outside temperature is likely to be about 42°F. Did Quincy make a reliable prediction? If not, what was his mistake? Yes. Quincy's prediction is reliable. No. Quincy should have used the trend line to find the corresponding y value when x=80. No. Quincy should have used the trend line to find the corresponding x value when y=80. No. The prediction is extrapolated, so it is too far off the graph to be reliable.

No. Quincy should have used the trend line to find the corresponding x value when y=80.

Kardal used the trend line to predict that a man 72 inches tall would wear about a size 10.5 shoe. What can be concluded about this prediction? Check all that apply. The prediction is not reasonable. The prediction is an interpolation. No data is given in the scatterplot for a height of 72 inches, but a shoe size can still be predicted. A prediction cannot be made without the linear regression equation. A 72-inch tall man will wear a size 11.5 shoe.

The prediction is an interpolation. No data is given in the scatterplot for a height of 72 inches, but a shoe size can still be predicted.