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A Multiple Regression Analysis Between Yearly Income (Y in $1,000s) α\alpha

question 59

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A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X1), age of the individuals (X2), and the gender of the individual (X3; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.  A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X<sub>1</sub>), age of the individuals (X<sub>2</sub>), and the gender of the individual (X<sub>3</sub>; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.      a. Write the regression equation for the above.b. Interpret the meaning of the coefficient of X3. c. Compute the coefficient of determination. d. Is the coefficient of X1 significant? Use  \alpha   = 0.05. e. Is the coefficient of X2 significant? Use  \alpha   = 0.05. f. Is the coefficient of X3 significant? Use  \alpha   = 0.05. g. Perform an F test and determine whether or not the model is significant.  A multiple regression analysis between yearly income (Y in $1,000s), college grade point average (X<sub>1</sub>), age of the individuals (X<sub>2</sub>), and the gender of the individual (X<sub>3</sub>; zero representing female and one representing male) was performed on a sample of 10 people, and the following results were obtained.      a. Write the regression equation for the above.b. Interpret the meaning of the coefficient of X3. c. Compute the coefficient of determination. d. Is the coefficient of X1 significant? Use  \alpha   = 0.05. e. Is the coefficient of X2 significant? Use  \alpha   = 0.05. f. Is the coefficient of X3 significant? Use  \alpha   = 0.05. g. Perform an F test and determine whether or not the model is significant.
a. Write the regression equation for the above.b. Interpret the meaning of the coefficient of X3.
c. Compute the coefficient of determination.
d. Is the coefficient of X1 significant? Use α\alpha = 0.05.
e. Is the coefficient of X2 significant? Use α\alpha = 0.05.
f. Is the coefficient of X3 significant? Use α\alpha = 0.05.
g. Perform an F test and determine whether or not the model is significant.


Definitions:

Finished Good

A product that has completed the manufacturing process and is ready for sale to customers.

Raw Material

Basic materials extracted from the environment or produced through agriculture that are used in the manufacture of goods.

Character

A qualitative assessment of a borrower's moral and ethical qualities and the likelihood that they will repay a loan.

Creditworthiness

The assessment of a borrower's ability to repay debt as agreed, often evaluated through credit scores and financial history.

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