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X2 High Wind Low Wind Output Force Insulator Type Oil Type 20.0 140 192 120 A 1

ID: 3236958 • Letter: X

Question

X2 High Wind Low Wind Output Force Insulator Type Oil Type 20.0 140 192 120 A 1 19.2 139 188 134 A 1 22.3 148 190 187 A 1 18.9 136 186 190 A 2 19.5 129 179 167 A 2 20.4 145 194 198 A 2 155 183 179 B 1 130 191 200 B 1 123 187 178 B 1 156 B 2 190 B 2 210 B 2 210 C 1 200 C 1 185 C 1 199 C 2 175 C 2 193 C 2 X2 High Wind Low Wind Output Force Insulator Type Oil Type 20.0 140 192 120 A 1 19.2 139 188 134 A 1 22.3 148 190 187 A 1 18.9 136 186 190 A 2 19.5 129 179 167 A 2 20.4 145 194 198 A 2 155 183 179 B 1 130 191 200 B 1 123 187 178 B 1 156 B 2 190 B 2 210 B 2 210 C 1 200 C 1 185 C 1 199 C 2 175 C 2 193 C 2 Problem 4: Pol" See Dataset The reliability level of a fuel tank depends on the age in years of the automatic line leak detectors CI) and the flame retardants variety CK2). The values of Xi and X2 and the corresponding reliability levels in six fuel tanks are given in the following 85 50 65 88 57 87 18.9 19.5 20.4 a. Ii point Find the regression equation. b. li pointl Interpret the slope coefficients. c. 12 points] Test the validity of the regression model.

Explanation / Answer

(a) It is Y = 59.5892 + 0.35534 X1 + 0.3715 X2

(b) The reliability level increases by 0.3554 for every one year age of X1 and by 0.3715 for every one year age of X2

(c) R^2 = 0.887 means 88.7% of the variation in Y is explained jointly by the variation in X1 and X2. The model is a good fit to the data.

Regression Analysis R² 0.887 Adjusted R² 0.811 n   6 R   0.942 k   2 Std. Error   1.709 Dep. Var. Y ANOVA table Source SS   df   MS F p-value Regression 68.5697 2   34.2849 11.74 .0381 Residual 8.7636 3   2.9212 Total 77.3333 5   Regression output confidence interval variables coefficients std. error    t (df=3) p-value 95% lower 95% upper std. coeff. Intercept 59.5892 0.000 X1 0.3554 0.0734 4.844 .0168 0.1219 0.5890 0.951 X2 0.3715 0.6288 0.591 .5962 -1.6296 2.3725 0.116