00:01
Hey there, welcome to numerate.
00:03
So we are trying to find an equation for the regression line here.
00:07
We're rounding to the hundreds.
00:10
So we will first have to find x bar, our sample mean.
00:16
Sample mean will equals the sum of x divided by the 10 values that we have.
00:22
We get a sample mean that equals around 4 .2.
00:27
Using the same equation, we can find our y mean, which will equal 77.
00:33
With these values, we can find the sum of squares of x, where it is basically the sum of x minus this mean 4 .2 squared.
00:46
We got a sum of squares of x that equals around 31 .6.
00:52
We can also find the sum of products by taking the sum of x again minus this mean, but now multiply by y minus it's mean together.
01:12
And we get sum of products that equals 159 .4.
01:19
So with these values, we can find our slope and intercept, because our equation here would be y predictor equals bx, where b is a slope, plus a where a is our y intercept.
01:32
So let's find b first...