00:01
Hey there, welcome to numerate.
00:04
So we are asked to find the regression equation here and plug in x in order to find our y predictive value.
00:12
So the regression equation format that we're looking for is y predictor, equalling a, our y intercept, plus b our slope times x.
00:25
So therefore, we are going to find our slope first, which is basically the sum of products, by the sum of squares of x.
00:33
So the sum of products here is the sum of x minus the mean here, in which we get a x mean of around 4 .8.
00:45
So the y mean also turns out to be 4 .8.
00:50
This is then divided by the sum of x minus 4 .8 squared, given us a slope here.
01:11
We're asked around to two decimal places.
01:14
So we get a slope of negative 0 .5.
01:20
Now for our y intercept, we have our y mean minus our slope times our x mean for our calculation.
01:29
So let's go ahead and plug in our values.
01:32
So our y mean here is 4 .8 minus our slope.
01:36
So double negative times 4 .8...