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In: Statistics and Probability

Does knee height predict overall height? Since elderly people may have difficulty standing to have their...

Does knee height predict overall height? Since elderly people may have difficulty standing to have their heights measured, a study looked at predicting overall height (y) in centimeters, from height to the knee (x) in centimeters. Use this data to answer the following questions.

Data looking at knee height (in cm) and overall height (in cm)

Knee

Height (cm)

57.70

47.40

43.50

44.80

55.20

54.60

Overall Height (cm)

192.10

153.30

146.40

162.70

169.10

177.80

What is the mean x and standard deviation sxof x?

What is the mean y and standard deviation sy of y?

What is the correlation r of x and y? What does the correlation mean?

The least-squares regression line.

What is the value of the slope?

What is the value of the intercept?

What is the equation of the least-squares regression line?

What is the equation of the least-squares regression line?

What is the coefficient of determination r2AND what does it tell you about the least-squares regression line?

What is the predicted height for someone with a knee height of 46.30?

Someone with a knee height of 65 cm would be approximately 220 cm tall. Is this a good use of the least-squares regression line? Why or why not?

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