00:01
So our first step is going to be to identify the important bits of information that we're given in the question.
00:06
So our r squared is 77 .4%.
00:09
And we also have r intercept and our slope here.
00:12
And for the first question, we're asked what the correlation is between rate and year.
00:17
So we're given r squared and we need to find the value of r.
00:21
So remember that the relationship between r and r squared is quite literally that r, if you you square it, you will get r squared.
00:33
So in order to find the value of r, we're going to need to take the square root of r squared.
00:39
But there's also one other thing we need to be careful with.
00:41
We do need to consider the sign.
00:44
So when we're taking the square root, remember there's always a positive and a negative square root.
00:49
And we need to look at the scatter plot in order to determine which sign we're going to use here.
00:55
So our scatter plot, we had something, we had a least squares regression line that looked something like this.
01:03
And so that tells us that there's a positive linear relationship between the two variables.
01:09
And therefore, the root that we're going to be looking at is the positive root...