Question: Find the regression equation using Pr as the independent variable, and Rct as the dependent variable. Test the hypothesis that the true slope is not
Find the regression equation using Pr as the independent variable, and Rct as the dependent variable. Test the hypothesis that the true slope is not equal to zero at = 0.15. Show hypotheses, conclusion and interpretation.
> fit <-lm(Rct ~ Pr) > summary(fit)
Call: lm(formula = Rct ~ Pr)
Residuals: Min 1Q Median 3Q Max -110.109 -25.180 -2.377 22.707 126.605
Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 147.2476 18.7378 7.858 5.11e-13 *** Pr 0.4108 0.2340 1.755 0.0811 . --- Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 40.3 on 162 degrees of freedom Multiple R-squared: 0.01866, Adjusted R-squared: 0.01261 F-statistic: 3.081 on 1 and 162 DF, p-value: 0.0811
147.2476 + 0.4108x
Ho: 1 = 0 Ho: 1 0
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