00:01
Alright, in your question, you are told the z score for the independent variable x in this regression equation is equal to negative 0 .60.
00:17
You were told that the correlational coefficient, r, is equal to negative 0 .50.
00:25
And you're asked to figure out how many standard deviations you expect the predicted value for the response variable, y, hat, to be above or below the mean.
00:39
So what you're being asked to do, since they ask for how many standard deviations we would expect for the y, we're looking for the z score for the y.
00:49
Now, there's a relationship that exists in the near regression that your response variable z -z.
00:57
Score is equal to the correlational coefficient times the explanatory variable z score.
01:07
So knowing that, this question becomes pretty straightforward.
01:11
Your r is negative 0 .50.
01:15
Your standard deviation for the x is negative 0 .6.
01:25
And this multiplies together, and negative times the negative will be positive.
01:30
So we're going to end up with 0 .3.
01:34
And that should be how many standard deviations we would expect our predicted y value to be away from the mean y value.
01:43
Now, because it worked out positive, it is above the mean.
01:49
You're to enter your positive number...