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Chapter 4: Q.4.5 (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,

b0=sxysxx

b1=y-b1x

The table can be obtained as:

x炉=鈭�xn=2

y=鈭�yn=5

sxx=10

sxy=20

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 data

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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