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F-statistic: 13.1 on 5 and 1490 DF, p-value: 1.662e-12 Answer the following ques

ID: 3296115 • Letter: F

Question

F-statistic: 13.1 on 5 and 1490 DF, p-value: 1.662e-12

Answer the following questions:

1)What is the effect of cigarette prices on smoking?

2)Do you think cigarettes and beer are complements or substitutes?

3)How do household size, family income and age affect cigarette smoking?

***Please do not use the answer previously used for these questions on Chegg!!****

> summary(model) Call: lm(formula = Data_Project$cig ~ Data_Project$age + Data_Project$hsize +     Data_Project$fam_inc + Data_Project$age + Data_Project$beerprice +     Data_Project$cigprice) Residuals:    Min     1Q Median     3Q    Max -9.597 -5.461 -3.730 0.266 94.443 Coefficients:                         Estimate Std. Error t value Pr(>|t|)     (Intercept)            14.174563   2.471953   5.734 1.18e-08 *** Data_Project$age       -0.119862   0.019404 -6.177 8.41e-10 *** Data_Project$hsize     -0.338563   0.213941 -1.583   0.1137     Data_Project$fam_inc   -0.017481   0.004461 -3.918 9.31e-05 *** Data_Project$beerprice 0.246440   0.230481   1.069   0.2851     Data_Project$cigprice -0.999028   0.505246 -1.977   0.0482 *   --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 9.86 on 1490 degrees of freedom Multiple R-squared: 0.04211, Adjusted R-squared: 0.0389

F-statistic: 13.1 on 5 and 1490 DF, p-value: 1.662e-12

Answer the following questions:

1)What is the effect of cigarette prices on smoking?

2)Do you think cigarettes and beer are complements or substitutes?

3)How do household size, family income and age affect cigarette smoking?

***Please do not use the answer previously used for these questions on Chegg!!****

Explanation / Answer

1) H0: There is not effect of cigarette prices on smoking
H1: There is effect of cigarette prices on smoking
The P-value of Cigarette Price is 0.0482 < alpha 0.05,
So, we reject H0, thus we conclude that there is effect of cigarette prices on smoking

2) H0: There is not effect of beer prices on smoking
H1: There is effect of beer prices on smoking
The P-value of beer Price is 0.2851 > alpha 0.05,
So, we do not reject H0, thus we conclude that there is not effect of beer prices on smoking

3) P-value of F = 1.662e-12 < alpha 0.05,
So, we reject H0, thus we conclude that all the variables are effect on smoking
i.e. the regression equation is best fit to the given data