Regression Problems 17. A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 10 females aged 18 to 24. Let height be the independent variable x, measured in inches, a

Regression Problems

17. A doctor wished to determine whether a relation exists between the height of a female and her

weight. She obtained the heights and weights of 10 females aged 18 to 24. Let height be the

independent variable x, measured in inches, and weight be the dependent variable y, measured in

pounds.

x

60

61

62

62

64

65

65

67

68

68

y

100

105

110

112

115

120

124

130

132

137

a. Use a graphing utility to draw a scatter plot. Record the plot as accurately as possible on your

paper.

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Fall 2003 – O’Brien

b. Use the regression capabilities of your graphing utility to find the equation of the line that best fits

the data. Include the correlation coefficient with your equation. Round to three decimal places.

c. Use your equation to predict the weight of a woman whose height is 66 inches. Show all of your work.