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SCENARIO 13-5
a Microeconomist Wants to Determine How Corporate Sales

question 97

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SCENARIO 13-5
A microeconomist wants to determine how corporate sales are influenced by capital and wage spending by companies.She proceeds to randomly select 26 large corporations and record information in millions of dollars.The Microsoft Excel output below shows results of this multiple regression. SUMMARY OUTPUT
Regression Statistics
 Multiple R 0.830 R Square 0.689 Adjusted R Square 0.662 Standard Error 17501.643 Observations 26\begin{array} { l l } \text { Multiple R } & 0.830 \\ \text { R Square } & 0.689 \\ \text { Adjusted R Square } & 0.662 \\ \text { Standard Error } & 17501.643 \\ \text { Observations } & 26 \end{array}
ANOVA
df SS  MS F Signif F Regression 215579777040778988852025.4320.0001 Residual 237045072780306307512 Total 2522624849820\begin{array} { l r c c c c } & d f & \text { SS } & \text { MS } & F & \text { Signif } F \\ \text { Regression } & 2 & 15579777040 & 7789888520 & 25.432 & 0.0001 \\ \text { Residual } & 23 & 7045072780 & 306307512 & & \\ \text { Total } & 25 & 22624849820 & & & \end{array}


 Coeff  StdError t Stat  P-value  Intercept 15800.00006038.29992.6170.0154 Capital 0.12450.20450.6090.5485 Wages 7.07621.47294.8040.0001\begin{array}{lrrrr} & \text { Coeff } & \text { StdError } & t \text { Stat } & \text { P-value } \\\text { Intercept } & 15800.0000 & 6038.2999 & 2.617 & 0.0154 \\\text { Capital } & 0.1245 & 0.2045 & 0.609 & 0.5485 \\\text { Wages } & 7.0762 & 1.4729 & 4.804 & 0.0001\end{array}

-Referring to SCENARIO 13-5, what fraction of the variability in sales is explained by spending on capital and wages?


Definitions:

Expected Value

The calculated average of all possible values for a random variable, weighted by their probabilities of occurrence.

Lottery

A form of gambling involving the drawing of numbers at random for a prize, often run by state or federal governments.

Risk Aversion

A preference for avoiding risk, where individuals or organizations opt for lower-risk options even when higher risks may offer greater potential rewards.

Adverse Selection

Refers to the fact that “bad types” are likely to be selected in transactions where one party is better informed than the other. Examples include higher risk individuals being more likely to purchase insurance, more low-quality cars (lemons) being offered for sale, or lazy workers being more likely to accept job offers. Adverse selection is a precontractual problem that arises from hidden information about risks, quality, or character.

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