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. 
a.Write out the estimated regression equation for the relationship between the variables.
b.Compute R2. What can you say about the strength of this relationship?
c.Carry out a test of whether Y is significantly related to the independent variables. Use a .05 level of significance.
d.Carry out a test to see if X3 and Y are significantly related. Use a .05 level of significance.
Definitions:
Self-Serving Bias
The common human tendency to attribute successes to personal attributes and failures to external circumstances.
Actor-Observer Bias
The inclination to ascribe personal actions to outside factors and other individuals' actions to their inherent traits.
Matching Hypothesis
A theory in social psychology that suggests individuals are more likely to form and succeed in relationships with others who are similar to them in physical attractiveness.
Self-Serving Bias
A common cognitive bias that causes individuals to attribute their successes to internal factors and their failures to external ones.
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