00:01
Hello students, for the given problem, we are asked to determine whether the slope of the relationship between final result and exam 2 score are different for male and female.
00:11
In other words, we are interested in testing the hypothesis that the difference in slope del is equal to zero.
00:21
So to do this, we can use the model.
00:24
For that, we can use the model final equal to beta not plus beta 1 into exam 2 plus del into gender plus epsilon.
00:41
Next where we can say that final is the final result score exam 2 is the exam 2 score gender is a dummy variable that is equal to 1 for male and 0 for female.
00:53
Beta not is the intercept beta 1 is the slope for male del is the difference in the slope between male and female and epsilon is the error term.
01:02
Now this model allows us to separate the effect of exam 2 on the final result for male and female.
01:09
The coefficient beta 1 represent the slope for males while the coefficient del represent the difference in slopes between male and female.
01:36
Next to test the hypothesis that del equal to zero, we are going to use the t statistic here for that we are going to use the formula p equal to del upon standard error of del where se is the standard error of del...