Questions 15-18: A multiple regression model was run on a sample of 150 high school students...

Questions 15-18: A multiple regression model was run on a sample of 150 high school students to see whether the heights of their mothers and fathers (in inches) could be used to predict the student’s own height (in inches). Consider the following partial output.
Parameter    Estimate    Standard Error
Intercept    16.967   4.658
Mother    0.299   0.069
Father    0.412   0.051

15. Find the T test for the variable Father.: *
(A) 0.231
(B) 3.643
(C) 4.333
(D) 8.078

16. Choose the best way to interpret the estimated coefficient for Mother.: *
(A) Every extra inch in height of the mother causes the student to be 0.299 inches taller.
(B) Holding the father’s height constant, every additional inch in height from the mother is associated with an increase of 0.299 inches on average in the student’s height.
(C) Holding the father’s height constant, every additional inch in height from the mother is associated with a decrease of 0.299 inches on average in the student’s height.
(D) The coefficient of 0.299 does not have a practical interpretation.

17. Suppose the coefficient for Father turns out to be significant. Choose the best answer: *
(A) A confidence interval for Father would contain 0.
(B) A confidence interval for Father would be completely positive.
(C) A confidence interval for Father would be completely negative.
(D) There is not enough information to tell.

18. Find the 95% confidence interval for Mother.: *
(A) (0.1617, 0.4363)
(B) (0.1626, 0.4354)
(C) (0.1848, 0.4132)
(D) (0.1855, 0.4125)

Expert Solution

orchestra answered 1 year ago

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