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The Daily Rate of Return of the Stock Market as a Whole

question 61

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the daily rate of return of the stock market as a whole, measured by the daily rate of return of Standard \& Poor's (S\&P) 500 Composite Index. Using a random sample of n=12n = 12 days from 2007, the least squares lines shown in the table below were obtained for four firms. The estimated standard error of β^1\hat { \beta } _ { 1 } is shown to the right of each least squares prediction equation.
 Firm  Estimated Market Model  Estimated Standard Error of β1 Company A y=.0010+1.40x.03 Company B y=.00051.21x.06 Company C y=.0010+1.62x1.34 Company D y=.0013+.76x.15\begin{array}{llc}\hline \text { Firm } & \text { Estimated Market Model } & \text { Estimated Standard Error of } \beta 1 \\\hline \text { Company A } & y=.0010+1.40 x & .03 \\\text { Company B } & y=.0005-1.21 x & .06 \\\text { Company C } & y=.0010+1.62 x & 1.34 \\\text { Company D } & y=.0013+.76 x & .15 \\\hline\end{array}
Calculate the test statistic for determining whether the market model is useful for predicting daily rate of return of Company A's stock.


Definitions:

Variable Cost

Costs that vary directly with the level of production output or activity, such as materials and labor directly involved in manufacturing.

Fixed Cost

Expenses that do not change with the level of production or sales, such as rent, salaries, and insurance, over a specified period.

High-Low Method

A technique in managerial accounting used to estimate fixed and variable costs by analyzing the highest and lowest levels of activity and the associated costs.

Variable Cost

Expenses that change in proportion to the activity of a business such as raw materials and direct labor costs.

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