Question

In: Math

1. Listed below are the budgets​ (in millions of​ dollars) and the gross receipts​ (in millions...

1. Listed below are the budgets​ (in millions of​ dollars) and the gross receipts​ (in millions of​ dollars) for randomly selected movies. .

Budget​ (x)

64

87

47

31

199

99

85

Gross​ (y)

67

60

49

56

630

143

47

Find the value of the linear correlation coefficient r.

2. For a sample of eight​ bears, researchers measured the distances around the​ bears' chests and weighed the bears. Calculator was used to find that the value of the linear correlation coefficient is

r equals=0.963

What proportion of the variation in weight can be explained by the linear relationship between weight and chest​ size?

a. What proportion of the variation in weight can be explained by the linear relationship between weight and chest​ size?

3. Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40 randomly selected men. The linear correlation coefficient r is

0.559.

Find the value of the coefficient of determination. What practical information does the coefficient of determination​provide?

4.

The data show the bug chirps per minute at different temperatures. Find the regression​ equation, letting the first variable be the independent​ (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a significance level of 0.05. What is wrong with this predicted​ value?

Chirps in 1 min

1077

778

1181

1027

806

1108
Temperature

​(degrees°​F)

84.6

72.4

84.9

84.5

68.2

81.7

What is the regression​ equation?

5.

The data below shows height​ (in inches) and pulse rates​ (in beats per​ minute) of a random sample of women. .

height​ (x)

62.5

62.8

61.4

61.4

59.3

62.1

60.6

61.8

67.8

60.7

67.6

62.6

pulse rate​ (y)

75

72

89

65

71

67

80

63

69

67

82

75

Find the value of the linear correlation coefficient r.

r equals =

​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

Q1.

milcah answered 1 year ago
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