Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(24.13) Analysis of the data in Exercise 24.2 shows that the relationship betwee

ID: 3157383 • Letter: #

Question

(24.13) Analysis of the data in Exercise 24.2 shows that the relationship between gray-matter volume and introspective ability, as measured by Aroc, is roughly linear. We might want to predict the mean introspective ability of a person with a gray-matter volume of 0.60. Here is the Minitab output for prediction when x* = 0.60:

Predicted Values for New observations

New

Obs Fit Se Fit 95% CI 95% PI

1 61.56 2.18 (57.08, 66.05) (44.74, 78.39)

1. Use the regression line from Figure 24.4 (page 595) to verify that "Fit" is the predicted value for x* = 0.60. (Start with the results in the "Coef" column of Figure 24.4 to reduce roundoff error.) If x* = 0.60, then our prediction for mean Aroc is = _____. (Give your answer to 2 decimal places.)

2. What is the 95% interval we want? _____ to _____ (Give your answers to 3 decimal places.) Answer 1 Answer 2

Explanation / Answer

1.The linear regression equation is:

y hat=61.56+2.18*x*

=61.56+2.18*0.60

=62.868