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

Group of answer choices

Dependent variable would remain the same

Cannot determine from information given

Dependent variable increases

Dependent variable decreases

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Question 2

2pts

What does the variable represent?

Group of answer choices

The sample standard deviation

The population mean

The sample mean

The population standard deviation

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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?

Group of answer choices

The improvement in his game

The number of times he bats

The type of bat

The baseball player

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Question 4

2pts

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

Group of answer choices

Positive. As one variable increases, the other decreases

Positive. As one variable increases, so does the other

Negative. As one variable increases, so does the other

Negative. As one variable increases, the other decreases

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Question 5

2pts

A value of the dependent variable that corresponds to the value of xiwould be given the notation of:

Group of answer choices

m

y1

b

yi

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Question 6

2pts

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

Group of answer choices

x

b

(x, y)

xi

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Question 7

2pts

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

Group of answer choices

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Question 8

2pts

Find the regression equation for the following data set

x142167143189122174134155y8051594144595163

Group of answer choices

= -0.10x + 71.86

= 0.10x + 71.86

cannot be determined

= -0.10x - 71.86

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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=56.

Group of answer choices

1121.1

318.7

274.9

Meaningless result

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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=110.

Group of answer choices

-7.6

21.34

20.80

Meaningless result

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Question 11

2pts

Find the regression equation for the following data set

x285943196718y4257974699

Group of answer choices

= 0.01x + 6.10

= -6.10x + 0.01

= 6.10x + 0.01

= -0.01x + 6.10

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Question 12

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=141.

Group of answer choices

-685.5

-574.5

-583.5

Meaningless result

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Question 13

2pts

If the linear correlation coefficient is 0.681, what is the value of the coefficient of determination?

Group of answer choices

0.464

-0.319

-0.464

0.319

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Question 14

2pts

If the linear correlation coefficient is -0.471, what is the value of the coefficient of determination?

Group of answer choices

-0.942

0.1942

-0.222

0.222

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Question 15

2pts

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

Group of answer choices

50.3%

50.0%

49.7%

24.7%

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Question 16

2pts

If the coefficient of determination is 0.822, what percentage of the data about the regression line is unexplained?

Group of answer choices

32.2%

6.7.6%

82.2%

17.8%

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Question 17

2pts

A regression equation can have more than one ____________ .

Group of answer choices

Coefficient of determination

Independent variable

Dependent variable

Correlation coefficient

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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 41.3 inches tall and whose father is 44.9 inches tall.

Group of answer choices

53.61 inches

58.11 inches

43.10 inches

58.65 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 145 miles away and weighs 3.8 pounds.

Group of answer choices

16.1 days

123.8 days

74.4 days

6.6 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.

Group of answer choices

8.6 days

12.3 days

7.0 days

10.5 days