chapter 1

Chapter 12: Simple Linear Regression and Correlationb. Minitab Output:The regression equation isremoval% = 97.5 + 0.0757 tempPredictor Coef StDev T PConstant 97.4986 0.0889 1096.17 0.000temp 0.075691 0.007046 10.74 0.000S = 0.1552 R-Sq = 79.4% R-Sq(adj) = 78.7%Analysis of VarianceSource DF SS MS F PRegression 1 2.7786 2.7786 115.40 0.000Residual Error 30 0.7224 0.0241Total 31 3.5010Minitab will output all the residual information if the option is chosen, from which youcan find the point prediction value y 98. 2933 , the observed value y = 98.41, sothe residual = .0294.c. Roughly .1d. R 2 = 79.4ˆ10 . 5=e. A 95% CI for β 1 , using t 2. 042 :. 025,30=. 075691±2.042 .007046 =( ) (.061303,.090079)f. The slope of the regression line is steeper. The value of s is almost doubled, and thevalue of R 2 drops to 61.6%.390