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 +B1×1. ŷ= +()×1 (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type µ×¡× = ß + ß₁×₁ +ß₁1×². ŷ= +( )x+() x² (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 Hylx =Bo+B₁x₁ Hyx = Bo+B1x1 +11x s² (Round to the nearest integer as needed.) Contribution Data y x y x 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 1348.00 4 5549.00 1301.00 8 6089.00 15 2566.50 9 5763.00 2529.50 10 8901.00 34567 13 14 16 17

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 +B1×1. ŷ= +()×1 (Round to the nearest integer as needed.) (b) Fit a quadratic model of the type µ×¡× = ß + ß₁×₁ +ß₁1×². ŷ= +( )x+() x² (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 Hylx =Bo+B₁x₁ Hyx = Bo+B1x1 +11x s² (Round to the nearest integer as needed.) Contribution Data y x y x 812.48 1 2752.00 11 824.50 2 4391.50 12 1210.50 3 5580.50 1348.00 4 5549.00 1301.00 8 6089.00 15 2566.50 9 5763.00 2529.50 10 8901.00 34567 13 14 16 17

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 5PPS

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