00:01
So stephen, i'm going to help you out the best i can.
00:02
So it looks like you're doing a regression.
00:05
You have the number of data points as 15.
00:09
And you have the mean salaries.
00:11
You're trying to find if there's an association between these.
00:14
And this is what the model would look like.
00:16
And you're given this r squared.
00:18
You're given the standard deviation.
00:20
You're given this information for the constants.
00:23
And so your first question looks like you're asking what the intercept is of the regression line.
00:31
So the intercept would be this value.
00:34
So that looks like that is that 15 .07.
00:39
For question two, you have to find a 90 % confidence interval for the slope.
00:48
So the 95 % confidence interval for the slope is going to be to take that 1 .41, plus or minus.
01:04
And then you would end up using a t value with 0 .05 in the upper tail and 13 degrees of freedom.
01:12
Let me quick look at my table.
01:15
And 0 .05 with 13 is going to be a 1 .771.
01:25
And then times that standard error for the slope, which is that 0 .3217.
01:31
And let's see what that multiplies out to give you.
01:35
0 .3217 times 1 .771.
01:40
And this value comes out to be approximately 0 .57.
01:44
So you have, let's see, looking at your second one, that is that first alternative.
01:53
So that's the one you want.
01:57
Now for question three, and i'm trying to change color here.
02:03
And it's not working.
02:06
Third time hopefully is a charm.
02:08
The third question asks, suppose the researcher tests with the null hypothesis being that the slope is equal to 0 and alternately.
02:18
I'm going to assume that the alternately is that it's not equal to 0...