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Chapter 4: Q.4.53 (page 174)

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

b. Graph the regression equation and the data points

Short Answer

Expert verified

(a)y^=5-x

(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 variables b0and b1are used to create the regression equation. For a collection ofn data points, the regression equation is

y^=b0+b1x

Where,

b0=y-b1x

b1=sxysxx

The table can be obtained as:

sxx=4

sxy=-4

Therefore,

b1=-1

b0=5

Therefore the regression equation will be:

y^=5-x

03

Part (b) Step 1 :Given Information  

The given data is:

We have to determine the graph of regression equation and data points.

04

Part (b) Step 2: Explanation  

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

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