It is well known that interpersonal attraction is based on a number of factors.

Question

It is well known that interpersonal attraction is based on a number of factors. One strong predictor

is similarity in attitudes, opinions, and beliefs. As such, a researcher decided to examine the

relationship between levels of physical attractiveness (high score = more attractiveness) of married

couples. Following is the data collected.

b) If the wife has an attractiveness score of 7, what is the husband’s predicted attractiveness

score?

c) If the wife has an attractiveness score of 12, what is the husband’s predicted attractiveness

Wives husbands 11 4 6 7 18 15 4 7 1 3 10 9 5 9 3 3

Explanation / Answer

It is well known that interpersonal attraction is based on a number of factors. One strong predictor is similarity in attitudes, opinions, and beliefs. As such, a researcher decided to examine the relationship between levels of physical attractiveness (high score = more attractiveness) of married couples. Following is the data collected.

Regression Analysis

r²

0.581

n

8

r

0.762

k

1

Std. Error

2.808

Dep. Var.

husbands

ANOVA table

Source

SS

df

MS

F

p-value

Regression

65.5559

1  

65.5559

8.31

.0279

Residual

47.3191

6  

7.8865

Total

112.8750

7  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=6)

p-value

95% lower

95% upper

Intercept

3.0887

1.7163

1.800

.1220

-1.1111

7.2884

Wives

0.5567

0.1931

2.883

.0279

0.0842

1.0292

Predicted values for: husbands

95% Confidence Intervals

95% Prediction Intervals

Wives

Predicted

lower

upper

lower

upper

Leverage

7

6.986

4.553

9.418

-0.304

14.275

0.125

12

9.770

6.462

13.077

2.143

17.396

0.232

The estimated regression line is

husbands attractiveness score =3.0887+0.5567* wives attractiveness score

b) If the wife has an attractiveness score of 7, what is the husband’s predicted attractiveness

score?

husbands attractiveness score =3.0887+0.5567* 7 = 6.986

c) If the wife has an attractiveness score of 12, what is the husband’s predicted attractiveness

husbands attractiveness score =3.0887+0.5567* 12 = 9.77

Regression Analysis

r²

0.581

n

8

r

0.762

k

1

Std. Error

2.808

Dep. Var.

husbands

ANOVA table

Source

SS

df

MS

F

p-value

Regression

65.5559

1  

65.5559

8.31

.0279

Residual

47.3191

6  

7.8865

Total

112.8750

7  

Regression output

confidence interval

variables

coefficients

std. error

   t (df=6)

p-value

95% lower

95% upper

Intercept

3.0887

1.7163

1.800

.1220

-1.1111

7.2884

Wives

0.5567

0.1931

2.883

.0279

0.0842

1.0292

Predicted values for: husbands

95% Confidence Intervals

95% Prediction Intervals

Wives

Predicted

lower

upper

lower

upper

Leverage

7

6.986

4.553

9.418

-0.304

14.275

0.125

12

9.770

6.462

13.077

2.143

17.396

0.232

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