Shown Below Is a Portion of a Computer Output for a Regression

question 44

Essay

Shown below is a portion of a computer output for a regression analysis relating y (demand) and x (unit price). $$\begin{array}{l}\text { ANOVA }\\\begin{array} { l l l } & d f & S S \\\text { Regression } & 1 & 5048.818 \\\text { Residual } & 46 & 3132.661 \\\text { Total } & 47 & 8181.479 \\\\& \text { Coefficients } & \text { Standard Error } \\\text { Intercept } & 80.390 & 3.102 \\\mathrm { X } & - 2.137 & 0.248\end{array}\end{array}$$ ​
a.
Perform a t test and determine whether or not demand and unit price are related. Let α = .05.
b.
Perform an F test and determine whether or not demand and unit price are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.
d.
Compute the coefficient of correlation and explain the relationship between demand and unit price.

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Definitions:

ROE

Return on Equity, a profitability ratio that measures the amount of net income returned as a percentage of shareholders' equity.

Plowback Ratio

The proportion of earnings that a company reinvests into its business rather than distributing to shareholders as dividends, indicating its growth strategy.

ROE

Return on Equity, a measure of financial performance calculated by dividing net income by shareholder's equity, indicating how well a company uses investments to generate earnings growth.

Plowback Ratio

The proportion of earnings retained by a company after dividends have been paid, often reinvested in the business for growth.