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A Student Used Multiple Regression Analysis to Study How Family

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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 Y, X1, and X3 are measured in thousands of dollars. The following results were obtained. A student used multiple regression analysis to study how family spending (Y) is influenced by income (X<sub>1</sub>), family size (X<sub>2</sub>), and additions to savings (X<sub>3</sub>). The variables Y, X<sub>1</sub>, and X<sub>3</sub> 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 R<sup>2</sup>. 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 X<sub>3</sub> and Y are significantly related. Use a .05 level of significance. A student used multiple regression analysis to study how family spending (Y) is influenced by income (X<sub>1</sub>), family size (X<sub>2</sub>), and additions to savings (X<sub>3</sub>). The variables Y, X<sub>1</sub>, and X<sub>3</sub> 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 R<sup>2</sup>. 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 X<sub>3</sub> and Y are significantly related. Use a .05 level of significance.
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:

Heterosexual Woman

A female who is romantically and sexually attracted to males.

Gay Man

An adult male who is attracted to other males, romantically, sexually, or emotionally.

Marital Satisfaction

A measure of the contentment and fulfillment individuals feel with their marriage and spouse.

Couples Without Children

Partnerships or marriages where the couple chooses to remain childfree or is unable to have children, focusing on their relationship without parenting.

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