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A Student Used Multiple Regression Analysis to Study How Family

question 102

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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:

Skunkworks

A project developed by a small and loosely structured group, often in secrecy, focused on innovative and radical solutions.

Intrapreneurship

The act of behaving like an entrepreneur while working within a large organization, focusing on innovation and creativity.

Commercial Project

A project that is undertaken by a business or a company aiming to generate profit or revenue. It can include anything from launching a new product to constructing commercial real estate.

Skunkworks

An informal project team established to develop an innovative product or process, often with autonomy from an organization's regular research and development procedures.

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