A sample of 10 adult men gave the following data on their heights and weights.
|
Height (inches)
|
x
|
62
|
62
|
63
|
65
|
66
|
67
|
68
|
68
|
70
|
72
|
|
Weight (pounds)
|
y
|
120
|
140
|
130
|
150
|
142
|
130
|
135
|
175
|
149
|
168
|
(a) Graph the data on a scatter plot.
(b) Find the equation of the regression line.
(c) Find the standard error of estimate, Se.
(d) Find r (correlation coefficient). Interpret the value of r in the context of this problem.
(e) Find the coefficient of determination. Explain what it means in the context of this problem.
(f) Predict the weight of a man whose height is 60 inches.
(g) Find a 90% confidence interval for men of height 60 inches (use your answer from part f).
(h) Predict the height of a man whose weight is 160 pounds.