Calculate the F value for the ANOVA table below and its associated p-value . Wha

Question

Calculate the F value for the ANOVA table below and its associated p-value. What hypothesis did you reject or fail to reject, why?

Y- bo b1X error #Import datafile #Make your data set default attach (d3) ot a scattergram of your variables plot (ntc cpd, data d3) Number of tumour cells by cigarettes per day #Fit the best line to your scatterplot abline(lm(ntc cpd, data d3)) #Remember to define your data set Ind the regression parameters fit Im(ntc cpd) #Define the object fit with the regression function lm summary (fit) #Obtain an estimate of the parameters for the LM R output Call lm (formula ntc cpd) Residuals: 12 Median Min 30 Max 175.82 55.58 43.73 3.03 697.76 Coefficients Estimate Std. Error t value Pr lt l) (Intercept) 54.382 42.659 1.807 7.977 Cpd. anova (fit) #Obtain an ANOVA table like the one we built during lecture Analysis of Variance Table Response ntc Df Sum Sq Mean Sq F value Pr(>F) 1 512 522 Cpd Residuals 26 683510 R-squared: F-statistic: 19.5 on 1 and 26 DF, p-value: 0.000 1572

Explanation / Answer

Here P-value < 0.05 so we reject the null hylptheisis.

DF Sum SQ Mean SQ F value P-value cpd 1 512522 512522 19.4958 0.000157 Residual 26 683510 26288.85

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