Given are five observations for two variables, and y. The estimated regression equation for these data is ŷ = 1.3 +2.3x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = (y₁ - 9₁) ² SST = (3-7)² SSR = Σ(9₁-7)² SSE SST X SSR 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). Hide Feedback Xi 1 2 Yi 4 7 3 4 5 6 10 14 Hint(s) Check My Work
Given are five observations for two variables, and y. The estimated regression equation for these data is ŷ = 1.3 +2.3x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = (y₁ - 9₁) ² SST = (3-7)² SSR = Σ(9₁-7)² SSE SST X SSR 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). Hide Feedback Xi 1 2 Yi 4 7 3 4 5 6 10 14 Hint(s) Check My Work
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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
Transcribed Image Text:Given are five observations for two variables, and y.
The estimated regression equation for these data is ŷ
-
a. Compute SSE, SST, and SSR using the following equations (to 1 decimal).
SSE = Σ (y: - 9;)
SST =
(yi - y)²
SSR =
(ŷi - y)²
SSE
SST
SSR
b. Compute the coefficient of determination ² (to 3 decimals).
Does this least squares line provide a good fit?
1.3 +2.3x.
Yes, the least squares line provides a very good fit
c. Compute the sample correlation coefficient (to 4 decimals).
Hide Feedback
Partially Correct
8
Xi 1
Yi
4
2 3
7
6
4
10
5
14
Hint(s) Check My Work
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