Given are five observations for two variables, x and y. Xị 1 2 4 Yi 3 7 7 11 14 The estimated regression equation for these data is ŷ = 0.6 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = SST = (Yi - SSR = SSE 12.4 SST SSR b. Compute the coefficient of determination r2 (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).

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given are five observations for two variables, x and y.
Xi
1
4
5
Yi
3
7
7
11
14
The estimated regression equation for these data is ŷ = 0.6 + 2.6x.
a. Compute SSE, SST, and SSR using the following equations (to 1 decimal).
SSE
SST
-
SSR
SSE
12.4
SST
SSR
b. Compute the coefficient of determination r² (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).
Transcribed Image Text:Given are five observations for two variables, x and y. Xi 1 4 5 Yi 3 7 7 11 14 The estimated regression equation for these data is ŷ = 0.6 + 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE SST - SSR SSE 12.4 SST SSR b. Compute the coefficient of determination r² (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).
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