Question

Check My Work (2 remaining) eBook Video Given are five observations for two variables, and y 4 7813 15 The estimated regression equation for these data is-1+2.8z. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). (y,-y? SST SSE SST SSR b. Compute the coefficient of determination 2 (to 3 decimals) Does this least squares line provide a good fit? Select your answer C. Compute the sample correlation coefficient (to 4 decimals)

Answer 1

The statistical software output for this problem is:

Simple linear regression results: Dependent Variable: yi Independent Variable: xi yi 12.8 xi Sample size: 5 R (correlation coefficient) 0.98260737 R-sq0.96551724 Estimate of error standard deviation: 0.96609178 Parameter estimates: Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept Slope 11.0132456 2.8 0.30550505 # 0 3 0.98692754 0.3964 #0 3 9.1651 514 0.0027 Analysis of variance table for regression model: Source DF SS Model1 78.4 Error Total F-stat p-value MS 78.4 84 0.0027 3 2.8 0.93333333 4 81.2

Hence,

a) SSE = 2.8

SST = 81.2

SSR = 78.4

b) Coefficient of determination = 0.966

Yes, this line provides a good fit.

c) Sample correlation coefficient = 0.9826