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Given are five observations for two variables, 2 and y. SSE SST 0.16 70 a * * 1 Yi 3 The estimated regression equation for these data is ŷ = 0.9 +2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). | SSE = Σ (y – 5,) - SST = (y - y)² SSR=(9-7)² 2 Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals), * 7 SSR 68 b. Compute the coefficient of determination r² (to 3 decimals). 3 A 8 4 5 10 14

Given are five observations for two variables, 2 and y. SSE SST 0.16 70 a * * 1 Yi 3 The estimated regression equation for these data is ŷ = 0.9 +2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). | SSE = Σ (y – 5,) - SST = (y - y)² SSR=(9-7)² 2 Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals), * 7 SSR 68 b. Compute the coefficient of determination r² (to 3 decimals). 3 A 8 4 5 10 14

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Given are five observations for two variables, and y. SSE SST 0.16 SSR 70 Yi The estimated regression equation for these data is ŷ = 0.9 +2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Σ (y - ;) - v) SST = Σ (y SSR=(9.-7)² * * xi * 1 3 2 68 b. Compute the coefficient of determination ² (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). 7 3 A 8 4 10 5 14
Transcribed Image Text:Given are five observations for two variables, and y. SSE SST 0.16 SSR 70 Yi The estimated regression equation for these data is ŷ = 0.9 +2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = Σ (y - ;) - v) SST = Σ (y SSR=(9.-7)² * * xi * 1 3 2 68 b. Compute the coefficient of determination ² (to 3 decimals). Does this least squares line provide a good fit? Yes, the least squares line provides a very good fit c. Compute the sample correlation coefficient (to 4 decimals). 7 3 A 8 4 10 5 14
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