The Following Data Show the Results of the First Job

question 97

Essay

The following data show the results of the first job performance measured (in scores) of 10 employees and their grade point average. $$\begin{array} { l l } \text { First Job Performance } & \text { GPA } ( x ) \\\text { Score } ( y ) & 1.8 \\26 & 2.3 \\31 & 2.6 \\28 & 2.4 \\30 & 2.8 \\34 & 3.0 \\38 & 3.4 \\41 & 3.2 \\44 & 3.6 \\40 & 3.8\end{array}$$ ​
a.
Develop a least squares estimated regression equation.
b.
Compute the coefficient of determination and comment on the strength of the regression relationship.
c.
Is the slope significant? Use a t test and let α = .05.
d.
At the 5% level of significance, test to determine if the model is significant (i.e., perform an F test).

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Definitions:

Stock Splits

An initiative taken by a company to multiply its current shares into more shares to augment the ease of trading those shares.

Owner's Equity

Owner's equity represents the owner's claim on the assets of a business after all liabilities have been deducted, indicating the net value owned by the proprietor in the company.

Regular Dividends

Payments made by a corporation to its shareholders out of its profits on a recurring basis.

Flotation Costs

The total costs a company incurs to issue new securities, including underwriting fees, legal expenses, and registration fees.