xQuestion 1

2pts

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

Homework Help:

7DA. Linear, non-linear, positive and negative correlations(Links to an external site.)

(PDF)

Cannot determine from information given

Dependent variable would remain the same

Dependent variable decreases

Dependent variable increases

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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(Links to an external site.)

(PDF)

The critical value for the correlation coefficient

The population correlation coefficient

The coefficient of determination

The sample correlation coefficient

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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 response variable?

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7DC. Explanatory and response variables(Links to an external site.)

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The number of times he bats

The baseball player

The type of bat

The improvement in his game

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Question 4

2pts

Two variables have a positive linear correlation. Where would the y-intercept of the regression line be located on the y-axis?

Homework Help:

7DA. Linear, non-linear, positive and negative correlations(Links to an external site.)

(PDF)

Below 0

To the right of 0

Cannot determine

To the left of 0

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Question 5

2pts

A value of the slope of the regression line would be given the notation of:

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7DD. Regression notation of m, b, y1, x1, yi, xi, means of variables, estimates of variables(Links to an external site.)

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m

r2

r

b

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Question 6

2pts

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

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7DD. Regression notation of m, b, y1, x1, yi, xi, means of variables, estimates of variables(Links to an external site.)

(PDF)

(x, y)

y

b

yi

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Question 7

2pts

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

Homework Help:

7VA. Scatter plots with regression lines, slope and intercept(Links to an external site.)

(2:32)

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Question 8

2pts

Find the regression equation for the following data set

x143167143189175174134155y2080726944595163

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7VB. Finding regression line equation using spreadsheet(Links to an external site.)

(3:54)

-0.33x + 5.23

0.33x - 5.23

0.33x + 5.23

cannot be determined

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Question 9

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=81.

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7VC. Validity of regression equation to estimate y from values of x(Links to an external site.)

(3:00)

391.2

Meaningless result

451.2

318.7

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Question 10

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=352.

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7VC. Validity of regression equation to estimate y from values of x(Links to an external site.)

(3:00)

28.22

6.92

Meaningless result

35.32

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Question 11

2pts

Find the regression equation for the following data set

x78594109678y4283793563

Homework Help:

7VB. Finding regression line equation using spreadsheet(Links to an external site.)

(3:54)

-0.40x + 7.96

-0.40x - 7.96

0.40x - 7.96

0.40x + 7.96

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Question 12

2pts

A data set whose original x values ranged from 137 through 150 was used to general a regression equation of =-4.5x + 51. Use the regression equation to predict the value of y when x=141.

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7VC. Validity of regression equation to estimate y from values of x(Links to an external site.)

(3:00)

-574.5

-685.5

-583.5

Meaningless result

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Question 13

2pts

If the linear correlation coefficient is 0.482, what is the value of the coefficient of determination?

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7DB. Correlation coefficient and coefficient of determination, notation and meanings(Links to an external site.)

(PDF)

0.232

0.982

-0.232

-0.982

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Question 14

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(Links to an external site.)

(PDF)

0.024

0.312

-0.024

-0.312

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Question 15

2pts

If the coefficient of determination is 0.233, 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(Links to an external site.)

(PDF)

5.43%

46.6%

76.7%

23.3%

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Question 16

2pts

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

Homework Help:

7DB. Correlation coefficient and coefficient of determination, notation and meanings(Links to an external site.)

(PDF)

6.9%

73.8%

26.2%

70.2%

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Question 17

2pts

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

Homework Help:

7DE. Compare linear regression and multiple regression(Links to an external site.)

(PDF)

The coefficient of determination is above 0.5

There are two independent variables

There are two dependent variables

The coefficient of determination is below 0.5

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Question 18

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.

Homework Help:

7DF. Using a multiple regression equation to estimate values from independent variable values(Links to an external site.)

(PDF)

55.87 inches

61.01 inches

44.95 inches

60.37 inches

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Question 19

2pts

The equation used to predict how long it will take to receive a package through the mail is =0.5 + 0.02x1+ 0.85x2

days, where x1is the distance to travel and x2is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 249 miles away and weighs 2.1 pounds.

Homework Help:

7DF. Using a multiple regression equation to estimate values from independent variable values(Links to an external site.)

(PDF)

6.8 days

7.3 days

7.8 days

1.6 days

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Question 20

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 100.4 degrees, an average of 4 people seen each day, and 6 hours of sleep.

Homework Help:

7DF. Using a multiple regression equation to estimate values from independent variable values(Links to an external site.)

(PDF)

10.5 days

7.0 days

12.3 days

8.6 day