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Chapter 4: Q.4.49 (page 174)

a. Find the regression equation for the data points, use the defining formulas in definition 4.4 to obtain sxxandsxy

b. Graph the regression equation and the data points

Short Answer

Expert verified

(a)y^=1-2x

(b)

Step by step solution

01

Part(a) Step 1:Given Information  

The given data is :

We have to determine the regression equation

02

Part (a) Step 2: Explanation 

The regression equation is :

y^=b0+b1x

Where,

b1=sxysxx

b0=y-b1x

The table can be obtained as:

x=鈭�xn=2

y=鈭�yn=-3

x=鈭�xn=2

sxy=-4

sxx=2

therefore,

b1=-2

b0=1

Therefore, the regression equation will be

y^=b0+b1x=1-2x

03

Part (b) Step 1 :Given Information 

The given data is:

We have to determine the graph of regression equation and dataponts.

04

Part (b) Step 2: Explanation  

The regression equation and data points can be drawn on graph as:

Thus,the regression equation will be:

y^=1.00-2.00x

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