Questions 15-18: A multiple regression model was run on a sampleof 150 high school students to see whether the heights of theirmothers and fathers (in inches) could be used to predict thestudent’s own height (in inches). Consider the following partialoutput.
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 coefficientfor Mother.: *
(A) Every extra inch in height of the mother causes the student tobe 0.299 inches taller.
(B) Holding the father’s height constant, every additional inch inheight from the mother is associated with an increase of 0.299inches on average in the student’s height.
(C) Holding the father’s height constant, every additional inch inheight from the mother is associated with a decrease of 0.299inches on average in the student’s height.
(D) The coefficient of 0.299 does not have a practicalinterpretation.

17. Suppose the coefficient for Father turns out to besignificant. Choose the best answer: *
(A) A confidence interval for Father would contain 0.
(B) A confidence interval for Father would be completelypositive.
(C) A confidence interval for Father would be completelynegative.
(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)