Given are five observations for two variables, æ and y. 5 9 12 18 20 Yi 52 54 47 22 12 The estimated regression equation for these data is ŷ = 74.41 – 2.89r. a. Compute SSE, SST, and SSR. | (to 2 decimals) |(to 2 decimals) | (to 2 decimals) SSE SST SSR b. Compute the coefficient of determination r². Comment on the goodness of fit. |(to 3 decimals) The least squares line provided an - Select your answer - v fit; |% of the variability in y has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. | (to 3 decimals)

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
Section3.4: Linear Regression
Problem 12SBE: Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
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Given are five observations for two variables, X and Y.

The estimated regression equation for these data is y = 74.41 - 2.89x

(NEED ANSWERS FOR A, B, C) 

a. Compute SSE, SST, and SSR.

b. Compute the coefficient of determination r2. Comment on the goodness of fit.

The least squares line provided an _____ (good / bad) fit; _____%  of the variability in Y has been explained by the estimated regression equation (to 1 decimal).

c. Compute the sample correlation coefficient. Enter negative value as negative number.

Given are five observations for two variables, x and y.
12
18
52
54
47
22
12
The estimated regression equation for these data is ŷ
74.41 – 2.89a.
a. Compute SSE, SST, and SSR.
SSE
(to 2 decimals)
SST
(to 2 decimals)
SSR
(to 2 decimals)
b. Compute the coefficient of determination r2. Comment on the goodness of fit.
(to 3 decimals)
fit;
The least squares line provided an - Select your answer -
% of the variability in y has been explained by the
estimated regression equation (to 1 decimal).
c. Compute the sample correlation coefficient. Enter negative value as negative number.
(to 3 decimals)
20
Transcribed Image Text:Given are five observations for two variables, x and y. 12 18 52 54 47 22 12 The estimated regression equation for these data is ŷ 74.41 – 2.89a. a. Compute SSE, SST, and SSR. SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimals) b. Compute the coefficient of determination r2. Comment on the goodness of fit. (to 3 decimals) fit; The least squares line provided an - Select your answer - % of the variability in y has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals) 20
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