Below You Are Given a Partial Computer Output Based on a Sample

question 85

Essay

Below you are given a partial computer output based on a sample of 21 observations, relating an independent variable x) and a dependent variable y).
$$\begin{array} { l c c } \text { Predictor } & \text { Coefificient } & \text { Standard Error } \\\text { Canstant } & 30.139&1.181 \\\text { X } & -0.252&0.022\end{array}$$ Analysis of Variance
SOURCE SS
Regression 1,759.481
Error 259.186
a. Develop the estimated regression line.
b. At α = 0.05, test for the significance of the slope.
c. At α = 0.05, perform an F test.
d. Determine the coefficient of determination.
e. Determine the coefficient of correlation.

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Definitions:

Liabilities

Financial obligations or debts owed by a business to others, which must be settled over time through the transfer of economic benefits including money, goods, or services.

Stockholders' Equity

Stockholders' equity represents the residual interest in the assets of a corporation after deducting liabilities, essentially the net worth of the company.

Cash Dividend

A payment made by a corporation to its shareholders, usually as a distribution of profits.

Declaration Date

The specific date on which a company's board of directors announces its next dividend payment or stock dividend.