Question 1

2pts

Two variables have a positive non-linear correlation. Does the dependent variable increase or decrease as the independent variable increases?

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7DA. Linear, non-linear, positive and negative correlations

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Group of answer choices

Dependent variable decreases

Dependent variable increases

Cannot determine from information given

Dependent variable would remain the same

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Question 2

2pts

What does the variable r2represent?

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7DB. Correlation coefficient and coefficient of determination, notation and meanings

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Group of answer choices

The critical value for the correlation coefficient

The sample correlation coefficient

The population correlation coefficient

The coefficient of determination

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Question 3

2pts

A baseball player wants to determine if the type of bat he uses each year can be used to predict the amount of improvement in his game. Which variable would be the explanatory variable?

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7DC. Explanatory and response variables

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Group of answer choices

The number of times he bats

The improvement in his game

The baseball player

The type of bat

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Question 4

2pts

What would be the notation for the mean of the x values?

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7DD. Regression notation of m, b, y1, x1, yi, xi, means of variables, estimates of variables

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Group of answer choices

b

(x, y)

x

xi

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Question 5

2pts

Which of the following graphs displays the regression equation of =-0.30x + 6.25

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7VA. Scatter plots with regression lines, slope and intercept

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Question 6

2pts

Find the regression equation for the following data set

x142167143189122174134155y8051594144595163

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7VB. Finding regression line equation using spreadsheet

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Group of answer choices

= -0.10x - 71.86

= -0.10x + 71.86

cannot be determined

= 0.10x + 71.86

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Question 7

2pts

A data set whose original x values ranged from 41 through 78 was used to generate a regression equation of =5.3x - 21.9. Use the regression equation to predict the value of y when x=45.

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7VC. Validity of regression equation to estimate y from values of x

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Group of answer choices

260.4

990.8

Meaningless result

216.6

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Question 8

2pts

A data set whose original x values ranged from 120 through 351 was used to generate a regression equation of =0.06x + 14.2. Use the regression equation to predict the value of y when x=115.

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7VC. Validity of regression equation to estimate y from values of x

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Group of answer choices

Meaningless result

-8.45

19.95

12.85

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Question 9

2pts

A data set whose original x values ranged from 137 through 150 was used to generate a regression equation of =-4.5x + 51. Use the regression equation to predict the value of y when x=139.

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7VC. Validity of regression equation to estimate y from values of x

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Group of answer choices

-547.5

Meaningless result

-574.5

574.5

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Question 10

2pts

If the linear correlation coefficient is -0.156, what is the value of the coefficient of determination?

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7DB. Correlation coefficient and coefficient of determination, notation and meanings

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Group of answer choices

0.024

0.312

-0.312

-0.024

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Question 11

2pts

If the coefficient of determination is 0.497, what percentage of the data about the regression line is explained?

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7DB. Correlation coefficient and coefficient of determination, notation and meanings

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Group of answer choices

49.7%

50.3%

24.7%

50.0%

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Question 12

2pts

If the coefficient of determination is 0.298, what percentage of the data about the regression line is unexplained?

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7DB. Correlation coefficient and coefficient of determination, notation and meanings

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Group of answer choices

26.2%

73.8%

70.2%

6.9%

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Question 13

2pts

If the independent variables explained more than 50% of the variation in the dependent variables, which of the following would be true?

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7DE. Compare linear regression and multiple regression

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Group of answer choices

The coefficient of determination is below 0.5

The coefficient of determination is above 0.5

There are two independent variables

There are two dependent variables

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Question 14

2pts

The equation used to predict how tall a dog will be as an adult is =4.5 + 0.7x1+ 0.55x2, where x1is the height of the mother and x2is the height of the father. Use this equation to predict the height of a puppy whose mother is 42.8 inches tall and whose father is 47.1 inches tall.

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7DF. Using a multiple regression equation to estimate values from independent variable values

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Group of answer choices

60.37 inches

44.95 inches

61.01 inches

55.87 inches

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Question 15

2pts

The equation used to predict how long a cold will last is =-1.8 + 0.09x1+ 3.2x2- 1.9x3, where x1

is person's temperature on the first day, x2is number of people seen each day, and x3is the amount of sleep the person gets. Use this equation to predict how long a cold will last with a temperature of 101.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

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7DF. Using a multiple regression equation to estimate values from independent variable values

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Group of answer choices

8.7 days

9.5 days

9.7 days

10.5 days