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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Although you might suspect that dissatisfied people would be the most likely individuals to participate in political activities in an attempt to change things, research tends to show just the opposite. Flavin and Keane (2011) found a positive relationship between life satisfaction and political participation, which included activities such as attending rallies, contributing to candidates, and displaying a yard sign. Following are data similar to those obtained in the study.

Life Satisfaction Political Participation
5 4
8 7
3 2
6 9
3 5
1 3
4 6
2 4
  • a. Find the regression equation for predicting political participation from life satisfaction.
  • b. Using α = .05, test the significance of the regression equation.

a.

To determine
The regression equation for predicting political participation from life satisfaction.

Explanation

Given info:

The given data are shown below,

Life satisfaction Political participation
5 4
8 7
3 2
6 9
3 5
1 3
4 6
2 4

Calculation:

Generally the linear regression equation is defined as

Y=bX+a

Formula to calculate b is,

b=SPSSx

Formula to calculate the a is,

a=MYbMX

Mean of the variable X is,

MX=5+8+3+6+3+1+4+28=328=4

Thus the mean of the variable X  is 4.

Mean of the variable Y is,

MY=4+7+2+9+5+3+6+48=408=5

Thus the mean of the variable y is 5.

For calculating SSx and SP the table is shown below,

Sr

b.

To determine
The significance of the regression equation.

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