Question

> summaryCls) Call: Lm(formula y X) Residuals: -0.20283 -0.146910.02255 0.06655 0.44541 Coefficients: (Intercept) 0.36510 0.09904 3.686 0.003586 ** Min 1Q Median 3Q Max Estimate Std. Error t value Pr(>ltl) 0.96683 0.18292 5.286 0.000258*** Signif. codes: 00.001*0.010.050.11 Residual standard error: 0.1932 on 11 degrees of freedom Multiple R-squared 0.7175, Adjusted R-squared: 0.6918 F-statistic: 27.94 on 1 and 11 DF, p-value: 0.0002581 > anovaCls) Analysis of Variance Table Response : y Df Sum Sq Mean Sq F value PrOF) 1 1.04275 1.04275 27.937 0.0002581*** Residuals 11 0.41057 0.03732 Signif. codes 00.0010.01 0.05 . 0.1 1
(f) Perform a hypothesis testing for 2 using α 0.05. (g) Report the complete ANOVA table for this regression model.
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Answer #1

f)
TS = (0.96683 - 2)/0.18292
= -5.648206

critical values are -1.96 and 1.96
|TS| > critical value
hence we reject the null hypothesis

g)
Anova table is already printed
anova(ls)

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> summaryCls) Call: Lm(formula y X) Residuals: -0.20283 -0.146910.02255 0.06655 0.44541 Coefficients: (Intercept) 0.36510 0.09904 3.686...
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