Find the least squares regression line haty b0 b1x through...

Find the least-squares regression line $\hat{y} = b_0 + b_1x$ through the points $(-2,0), (1,9), (5,13), (8,19), (12,23)$. and then use it to find point estimates $\hat{y}$ corresponding to $x=3$ and $x=7$. Use the LINEST formula in either Microsoft Excel or Google Sheets. For $x=3, \hat{y}=$ For $x=7, \hat{y}=$

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Transcript

00:01 These are the given information in the question.

00:03 They are given four points here.

00:06 Let me just write these points as the x values, i mean the x values of the points and the y values.

00:12 So for point a, we have negative 3 and the y is 2, then 2, 8, and 4, 14, and then 12 and 26.

00:23 So the linear regression line equation is given as this b0 plus b1 times x.

00:30 So how can we get this one? so if the calculator is allowed to use here, so in the question it is not being set, so the calculator is not allowed.

00:41 So i'm going to show how you can get this regression line equation by using the ti calculator here.

00:52 So first of all, we need to just plot these points on the calculator.

00:55 Just press the button stat and edit.

00:58 If there are some values, let's clear all them up here.

01:02 Let me just go up to the l1 here, l1, and clear all of them.

01:08 Sorry about that.

01:09 This is enter.

01:11 And clear all these values here.

01:15 So clear them up.

01:17 Let me just try again, edit, okay, and then we just clear, clear all.

01:25 So second and clear all.

01:27 Great.