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In $9-13 :$ a. Create a scatter plot for the data. b. Determine which regression model is the most appropriate for the data. Justify your answer. c. Find the regression equation. Round the coefficient of the regression equation to three decimal places.$$\begin{array}{|c|c|c|c|c|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} & {10} \\ \hline y & {2.7} & {2.3} & {2.0} & {1.7} & {1.5} & {1.2} & {1.1} & {0.9} & {0.8} & {0.7} \\ \hline\end{array}$$

Intro Stats / AP Statistics

Chapter 15

STATISTICS

Section 9

Non-Linear Regression

Sampling and Data

The Normal Distribution

Linear Regression and Correlation

Missouri State University

University of North Carolina at Chapel Hill

Cairn University

Boston College

Lectures

0:00

03:28

In $9-13 :$ a. Create a sc…

02:11

03:46

04:28

03:01

$(a)$ find the equation of…

02:43

06:35

(a) Draw a scatter plot.

10:10

04:38

In $3-5 :$ a. Determine th…

all right. So they gave us a data set. The first thing they want us to do is create a scatter plot. I'm using Dez most. It's an online graphing tool. And so when you open up dez most dot com, you can go over here and click the plus sign, and we're gonna enter a table of values. So I'm gonna go through an inter mo table. You're my exes, and then I'm gonna enter my wives ground. When you look at your chart, you can move your graph around so that you can see it. This looks like it could be an exponential curve. It looks like it's starting up and coming down, but it's staying inside this positive. Why access thing? So we're gonna try Exponential, you're exponential general form. Okay, It's gonna be why one and then we want to use the tilde for their aggression. Let's try a B to the X of one. Oh, my goodness. I don't think we could get any prettier going through those notice. How close are squared is toe one. And if we plotted our residuals there almost sitting on ze road, which is amazing, it's a great, great regression there. So to write that equation, we would have y equals R A value 3.141 times are be value 0.8 of eight. And we're gonna raise that to the X. Make sure you put your be in parentheses or you won't get that same look. But there is our regression equation for this data set.

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