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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:

Objective

Unbiased and not influenced by personal feelings or opinions in considering and representing facts.

Introverted Feeling

A cognitive function characterized by deep, introspective emotions and decisions based primarily on personal values and feelings.

Collective Unconscious

A concept proposed by Carl Jung, referring to the part of the unconscious mind which is derived from ancestral memory and experience and is common to all humankind.

Libido

Within the framework of psychoanalytic theory, the force of the sexual urge is considered a part of the life instinct.

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