Please answer the following question ASAP. Please let me know if you need any ad
ID: 3322061 • Letter: P
Question
Please answer the following question ASAP. Please let me know if you need any additional information.
Exercise 14.151 The data from exercise 1 follow. Yi 3 7 5 11 14 The estimated regression equation for these data is y = .20 + 2.60x. a. Compute SSE, SST, and SSR using the following equations (14.8), (14.9), and (14.10) (to 1 decimal if necessary) SSE = (yi-yi)2 SST = (yi-D" SSE SST SSR b. Compute the coefficient of determination (to 3 decimals). Does this least squares line provide a good fit? Select C. Compute the sample correlation coefficient (to 4 decimals)Explanation / Answer
The statistical software output for this problem is:
Simple linear regression results:
Dependent Variable: yi
Independent Variable: xi
yi = 0.2 + 2.6 xi
Sample size: 5
R (correlation coefficient) = 0.91923882
R-sq = 0.845
Estimate of error standard deviation: 2.0330601
Parameter estimates:
Analysis of variance table for regression model:
Hence,
a) SSE = 12.4
SST = 80
SSR = 67.6
b) r2 = 0.845
Yes, this lease square line provide a good fit.
c) r = 0.9192
Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 0.2 2.1322914 0 3 0.09379581 0.9312 Slope 2.6 0.64291005 0 3 4.0441116 0.0272