The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type μy|x = ẞo +ẞ1×1 ŷ= -587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type μyx = 0 + ẞ₁×₁ + B₁₁×²₁. y = 1980 + ( - 192) + (352) xỉ (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) (c) Determine which of the models in (a) or (b) is preferable. Use s², R², and the PRESS residuals to support the decision. Compute s² for each model. Model s² Hylx =Bo+B₁x1 1104727 (Round to the nearest integer as needed.) Compute R² for each model. Model R² Hylx Bo+B1x1 (Round to three decimal places as needed.) 430563 Contribution Data y x y x 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 13 1348.00 4 5549.00 14 1301.00 8 6089.00 15 2566.50 9 5763.00 2529.50 10 8901.00 197 16

The accompanying values are a set of data for y, the amount of money (in thousands of dollars) contributed to the alumni association at a certain university from a certain graduate class, and x, the number of years following graduation for that class. Complete parts (a) through (c) below. Click the icon to view the contribution data. (a) Fit a regression model of the type μy|x = ẞo +ẞ1×1 ŷ= -587 + (428) ×₁ (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type μyx = 0 + ẞ₁×₁ + B₁₁×²₁. y = 1980 + ( - 192) + (352) xỉ (Round the x-coefficient to one decimal place as needed. Round all other constants and coefficients to the nearest integer as needed.) (c) Determine which of the models in (a) or (b) is preferable. Use s², R², and the PRESS residuals to support the decision. Compute s² for each model. Model s² Hylx =Bo+B₁x1 1104727 (Round to the nearest integer as needed.) Compute R² for each model. Model R² Hylx Bo+B1x1 (Round to three decimal places as needed.) 430563 Contribution Data y x y x 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 13 1348.00 4 5549.00 14 1301.00 8 6089.00 15 2566.50 9 5763.00 2529.50 10 8901.00 197 16

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.CR: Chapter Review Exercises

Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...

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