A sample of 10 adult men gave the following data on their heights and weights.
Height (inches) Weight (pounds)
X Y
62 120
62 140
63 130
65 150
66 142
67 130
68 135
68 175
70 149
72 168
1. Use a 1% level of significance to test the claim that ρ > 0. Show all steps of your hypothesis test.
2. Predict the weight of a man whose height is 60 inches.
3. 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.
4. Predict the height of a man whose weight is 160 pounds.