00:01
For this problem, to begin, we know that our linear regression equation as given is that our prediction for y is equal to 96x minus 0 .4873, where we know that x is the on -base percentage and y is the winning percentage.
00:22
The slope here is going to be this value, 96.
00:26
So this would tell us that the, as the, pardon me, i just needed to pause while i was reinterpreting the statement here, or looking at the options basically.
00:39
So we need to be careful here when we're interpreting the slope, because when we talk about x going up by one percentage point, that doesn't mean that x goes from, for instance, 0 to 1.
00:53
It does not mean that.
00:54
X going up one percentage point would be x going from, for instance, 0 .1 to 0 .11.
01:03
So we would have that because the slope is 96, basically if we went up by 1, so from 0 to 1, then we would have that our prediction changes by 96 percentage points.
01:18
But in this case, since we are considering a change in one percentage point, we would have that y would go up by 0 .96 percentage points.
01:31
So it would be from 0 point, basically it could be from 0 .0 up to 0 .96.
01:39
That is the interpretation that we should have for the, one second here, for the slope.
01:48
So looking at the different listed options, we would want to go for the third listed option for the first part of the problem.
01:55
Then for the second part of the problem, we have that, or we're basically just asked for the y -intercept.
02:02
Now the y -intercept is going to be this value here, negative 0 .4873...