Correlation and Regression Assignment A sample of 10 adult men gave the following data on their heights and weights. Height X 62 62 63 65 66 67 68 68 70 72 (inches) Y 120 140 30 150 142 130 135 175 149 168 Weight (pounds) (a) Generate the scatter plot of this data and graph the regression line in your plot. Include a picture of this graph and explain your impression of how well the line fits the data. (b) State the equation of the regression line. (c) Find r (correlation coefficient). Interpret the value of r in the context of this problem. (d) Find the coefficient of determination, r². Explain what it means in the context of this problem. (e) Provide examples of other lurking variables that may have an effect on weight besides height. (f) Use a 1% level of significance to test the claim that p > 0. Show all steps of your hypothesis test. (g) Predict the weight of a man whose height is 60 inches. (h) Find a 90% confidence interval for men of height 60 inches (use your answer from part g). Include your interpretation of the confidence interval. Show your formula for E with all important values included. (i) Predict the height of a man whose weight is 160 pounds.

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