Question 1

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

Cannot determine from information given

Dependent variable increases

Dependent variable decreases

Dependent variable would remain the same

Question 2

What does the variable represent?

Homework Help:

The population mean

The sample mean

The sample standard deviation

The population standard deviation

Question 3

A golfer wants to determine if the type of driver she uses each year can be used to predict the amount of improvement in her game. Which variable would be the response variable?

The rating of the golfer

The type of driver

The number of holes she plays

The improvement in her game

Question 4

Two variables have a positive linear correlation. Is the slope of the regression line between these two variables positive or negative?

Negative. As one variable increases, the other decreases

Positive. As one variable increases, so does the other

Positive. As one variable increases, the other decreases

Negative. As one variable increases, so does the other

Question 5

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

b

m

r2

r

Question 6

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

(x, y)

yi

y

b

Question 8

Find the regression equation for the following data set

x 143 167 143 189 122 174 134 155

y6080726944595163

12.16x - 0.33

12.16x + 0.33

0.33x + 12.16

cannot be determined

Question 9

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.

Meaningless result

216.6

990.8

260.4

Question 10

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.

6.92

Meaningless result

35.32

28.22

Question 11

Find the regression equation for the following data set

x 2 8 5 9 4 3 9 6 7 8

y 3 6 5 7 9 7 4 6 9 9

5.48x + 0.17

-5.48x + 0.17

-0.17x + 5.48

0.17x + 5.48

Question 12

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=139.

-547.5

-574.5

Meaningless result

574.5

Question 13

If the linear correlation coefficient is 0.546, what is the value of the coefficient of determination?

0.298

-0.092

1.092

-0.298

Question 14

If the linear correlation coefficient is -0.368, what is the value of the coefficient of determination?

0.184

-0.135

0.135

0.736

Question 15

If the coefficient of determination is 0.492, what percentage of the data about the regression line is explained?

50.8%

70.1%

49.2%

24.2%

Question 16

If the coefficient of determination is 0.394, what percentage of the data about the regression line is unexplained?

60.6%

15.5%

66.0%

39.4%

Question 17

A regression equation can have more than one ____________ .

Coefficient of determination

Independent variable

Dependent variable

Correlation coefficient

Question 18

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 40.3 inches tall and whose father is 45.9 inches tall.

43.10 inches

50.75 inches

53.46 inches

57.96 inches

Question 19

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 145 miles away and weighs 3.8 pounds.

16.1 days

74.4 days

6.6 days

123.8 days

Question 20

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.

8.6 days

7.0 days

10.5 days

12.3 days