For the data below, perform the following: (a) Estimate the intercept and slope
ID: 3340543 • Letter: F
Question
For the data below, perform the following: (a) Estimate the intercept and slope regression coefficients (b) Write the estimated regression line. (c) Compute the residuals (e = y-y) (d) Compute SSE and estimate the variance (e) Find the standard error of the slope and intercept coefficients (f) Show that SST - SSR + SSe. (g) Compute the coefficient of determination, R'. Comment on the value. 122 118 108 105 28 90 97 26.1 26.9 22.8 27 26.1 26.2 26.6 100 109 22.9 24 22.9 23 20.5 26.2 25.8 10 4 272 286 245 265 12 13Explanation / Answer
## By using Minitab
The regression equation is
Y = - 518 + 26.7 X
Predictor Coef SE Coef T P
Constant -518.0 231.1 -2.24 0.045
X 26.663 9.293 2.87 0.014
S = 68.5282 R-Sq = 40.7% R-Sq(adj) = 35.7%
Analysis of Variance
Source DF SS MS F P
Regression 1 38658 38658 8.23 0.014
Residual Error 12 56353 4696
Total 13 95012
The R-Sq = 40.7% Indicates that the 40.7% variability in the model is explain by the predictor.
The slope=26.7 indicates the unit change in Predictor result in the change in response by 26.7.