Question 3 Next Part of Question posted in new question In t

Question 3

Next Part of Question posted in new question

In the investigation of Question 1, the following output considers the effect of driver gender and age group on In(acceleration). (a) BRIIFLY comment on the p-values and the plots in the above output (b) What is the value of R-sq(adj) telling us? (C) What other plot should we look at?

Solution

Comments on P-Values:

1. Effect of Gender of a driver: Since the P-value is greater than 0.05 then there is no significant difference

2. Effect of a Age of driver : Since the P-value is less than 0.05 (5% level of significance) then there is a significant difference.

3. Effect of both Gender and age of a driver: Since the P-value is less than 0.05 then there is a significant difference between between Gender and Age Group of a Driver.

b.  Adjusted R^2 is the modification of R^2 that adjusts the no of explanatory variables in the model. Unlike R^2.
Adjusted R^2 increases only if the new variables improves the model, more than would be expected by chance. But not R^2
Adjusted R^2 can be negative, will always less than or equal to the R^2

the value from the figure above, adj R2 is 2.598, since this has the positive value which improves the acceleration between the gender and age of a driver.

c. Plots from the above , we can also look at the increasing level in the acceleration of a gender and age group.