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A Student Used Multiple Regression Analysis to Study How Family

question 62

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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.   Coefficient of determination = 0.946  a.Write out the estimated regression equation for the relationship between the variables. b.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. e.Why would a coefficient of determination very close to 1.0 be expected here? Coefficient of determination = 0.946
a.Write out the estimated regression equation for the relationship between the variables.
b.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.
e.Why would a coefficient of determination very close to 1.0 be expected here?


Definitions:

Management

The process of directing and controlling a group or organization to achieve its goals by planning, organizing, leading, and controlling resources.

Stakeholder

An individual, group, or organization that has an interest in the activities and outcomes of a company or project.

Stockholder

An individual or entity that owns one or more shares of stock in a corporation, making them a partial owner of that company.

Creditor

An individual or institution to whom money is owed by a debtor, typically resulting from a provision of goods, services, or loans.

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