Data: x):130 Model E(X) = a + Ali + 2z2 Call: m (formulayx1x2) Residuals: Min 0
ID: 3312349 • Letter: D
Question
Data: x):130 Model E(X) = a + Ali + 2z2 Call: m (formulayx1x2) Residuals: Min 0 Medi an 30 Max 1.89523-0.62455 0.02296 0.55110 2.43721 Coefficients: Estimate Std. Error t value Pr (>It) Intercept) 11.0618 2.74954.023 0.000416 1.8401.3231 -695 4.74e-06 4.0883 0.4558 8.970 1.39e-09 x1 x2 signif. code s : 0 ' " 0.001 '**, 0.01 o.05 '.' 0.1 ' ' 1 Residual standard error: 0.9462 on 27 degrees of freedom. Multiple R-squared:0.7742,Adjusted R-aquarea: 0.7574 r-statistie: 46.28 on 2 and 27 DF, p-value: 1.888e- Analysis of Variance Table Response: y Df Sum Sq Mean Sq F value 110.834 10.834 12.102 0.001725* x1 x2 Residuals 27 24.172 72.029 72.029 80.457 1.387e-09** 0.895Explanation / Answer
a) i) P-value = 4.74e-06
There is sufficient evidence to reject H0 in foavoru of H1 thus we can conclude that there is a statistically significnat
ii) Test statsitic = (1.8401-2)/0.3231 = -0.4949
test statistic t value compare to t-critical value 2.0518
conclusion: there is sufficient evidence that the population regression coefficient beta1 = 2
b) Test statsitic = (1.8401-2)/0.116604 = 0.02743
test statistic t value compare to t-critical value 2.0518
conclusion: there is sufficient evidence that the population regression coefficient beta1 = 2
Lower bound: (1.8401 - 2.0518*0.116604,1.8401 + 2.0518*0.116604) = (1.601,2.079)
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