For a data set for 100 adults on y height, x1 length of left leg, and x2 length of right leg, the model E(y) 1x1 2x2 is fitted Neither H0 1 0 nor H0 2 0 has a P value below 0 05 (a) Does this imply that length of leg is not a good predictor of height Why (b) Does this imply that H0 1 2 0 would not have a P value below 0 05 Why (c) Suppose ryx1 0 901, ryx2 0 902, and rx1x2 0 999 Using forward selection and the potential predictors x1 and x2 with 0 05 for tests, which model would you expect to be selected Why

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Question: For a data set for 100 adults on y = height, x1 = length of left leg, and x2 = length of right leg, the

For a data set for 100 adults on y = height, x1 =

length of left leg, and x2 = length of right leg, the model E(y) = α + β1x1 + β2x2 is fitted. Neither H0: β1 = 0 nor H0: β2 = 0 has a P-value below 0.05.

(a) Does this imply that length of leg is not a good predictor of height?Why?

(b) Does this imply that H0: β1 = β2 = 0 would not have a P-value below 0.05?Why?

(c) Suppose ryx1

= 0.901, ryx2

= 0.902, and rx1x2

= 0.999.

Using forward selection and the potential predictors x1 and x2 with α = 0.05 for tests, which model would you expect to be selected? Why?

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