Given are five observations for two variables, and . xi 3 5 13 15 17 yi 54 57 40 13 16 The estimated regression equation for these data is y= 68.37 + 3.05x a. Compute sse (to 2 decimals) sst (to 2 decimals) ssr (to 2 decimals) b. Compute the coefficient of determination r^2. Comment on the goodness of fit. (to 3 decimals) The least squares line provided a good fit; % of the variability in 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)
Given are five observations for two variables, and . xi 3 5 13 15 17 yi 54 57 40 13 16 The estimated regression equation for these data is y= 68.37 + 3.05x a. Compute sse (to 2 decimals) sst (to 2 decimals) ssr (to 2 decimals) b. Compute the coefficient of determination r^2. Comment on the goodness of fit. (to 3 decimals) The least squares line provided a good fit; % of the variability in 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)
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 6PPS
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Given are five observations for two variables, and .
xi | 3 | 5 | 13 | 15 | 17 |
yi | 54 | 57 | 40 | 13 | 16 |
The estimated regression equation for these data is y= 68.37 + 3.05x
a. Compute
sse | (to 2 decimals) |
sst | (to 2 decimals) |
ssr | (to 2 decimals) |
b. Compute the coefficient of determination r^2. Comment on the goodness of fit.
(to 3 decimals)
The least squares line provided a good fit; % of the variability in 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)
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