A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained.     ANOVA       df SS Regression 3 45.9634 Residual 11 2.6218 Total

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A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables yx1, and x3 are measured in thousands of dollars. The following results were obtained.

 

 

ANOVA

 

 

 

df

SS

Regression

3

45.9634

Residual

11

2.6218

Total

 

 

 

 

Coefficients

Standard Error

Intercept

0.0136

 

x1

0.7992

0.074

x2

0.2280

0.190

x3

-0.5796

0.920

 

  1. Write out the estimated regression equation for the relationship between the variables. 
  2. Compute coefficient of determination. What can you say about the strength of this relationship? 
  3. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significant 
  4. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.
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