Applied Regression Analysis Ouiz: Minitab Output Results for: GASOLINE MILEAGE D

Question

Applied Regression Analysis Ouiz: Minitab Output Results for: GASOLINE MILEAGE DATA_WITH INDICATOR VARIABLES.MTH Y: miles per gallon. xi Displacement. cubic inches x 2 Horsepower ft-lb X3 Torque ft-lb Etc Regression Analysis: y versus x1, x2, x3, x4, x5, x6, x7, x8, x9, x10 The regression equation is Y 19.4 0.0761 xl 0.0743 x2 0.121 x3 1.32 x4 5.98 x 5 0. 29 x6 3. 40 x 7 0.185 x8 0.409 x9 0.00518 x10 30 cases used 2 cases contain missing values Predictor Coef SE Coef Constant 19.35 28.99 0.67 0.512 xl -0.07613 0.05623 -1. 35 0.192 x2 0.07425 0.08663 0.86 0.402 0.12098 0.08907 l. 36 0.190 x3 3.021 0.44 0.668 x4 l, 317 x5 5.976 3.076 l, 94 0.067 x6 0.289 l.25l 0.23 0.820 x7 3.398 2.859 -1.19 0.249 0.1853 x8 0.1259 l. 47 0.158 x9 0.4094 0.3124 -l. 3l 0.206 x10 0.005184 0.005742 0.90 0.378 3.14565 R-sq 83. 5 R-Sq (adj) 74. 8 Analysis of Variance Source DF SS MS 10 951.098 95.110 9.61 0.000 Regression Residual Error 19 188.007 9.895 29 1139.105 Total Source DF Seq SS xl 86 6.227 x2 5.436 x3 4.441 l l 4.489 x4 x5 2.876 x6 9.074 x7 6.644 x8 0.347 x9 33.502 x10 8.063 Unusual Observations y Fit SE Fit Residual St Resid 22 360 21. 470 16.170 2.212 5.300 31 360 13.770 19.049 2.080 -5.279 -2.24R R denotes an observation with a large standardized residual.

Explanation / Answer

Question 11: Answer: Option (B) cubic Inches

since slope of beta1 is the coefficient of X1 which is interms of cubic inches

Question 12: Answer: Option (B) a decrease of 0.0761

Since the coefficieint of X1 is -0.0761

Question 13: Answer: Option (A) 3.146

Since S= 3.14565

Question 14: Answer: Option (D) not available

Since (-0.07613 - 2.048(0.05623) < beta1 < -0.07613 + 2.048(0.05623) = (-0.19123,0.03903)

where critical value of t at (30-2 = 28) df = 2.048 at 5% los

Question 15: correct Answer : OPtion (A)

Since All p-values of all the regression coefficients are > 0.05.

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