Savings and Retirement Flashcards

business

Mean output of solar cells of three types are measured six times under random light intensity over a period of 5 minutes, yielding the results shown. Research question: Is the mean solar cell output the same for all cell types?

Solar Cell Output (watts)

\begin{array}{ccccccc} \hline \text { Cell Type } & & & {\text { Output (watts) }} \\ \hline \text { A } & 123 & 121 & 123 & 124 & 125 & 127 \\ \text { B } & 125 & 122 & 122 & 121 & 122 & 126 \\ \text { C } & 126 & 128 & 125 & 129 & 131 & 128 \end{array}

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economics

For each of the data sets in parts a–c, compute

\overline { x } , s ^ { 2 } , \text { and } s

. If appropriate, specify the units in which your answers are expressed.

- \$ 1 , \$ 4 , - \$ 3 , \$ 0 , - \$ 3 , - \$ 6

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us government

The Declaration of Independence is not part of the U.S. Constitution and is not considered a legal document upon which the government of the United States is based. It did, however, did put into simple terms the reasons why the original 13 colonies were seeking to form their own nation. Read the excerpt and answer the question that follow.
"We hold these truths to be self evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty, and the pursuit of Happiness. ... That whenever any Form of Government becomes destructive of these ends, it is the Right of the People to alter or abolish it, and to institute new Government... as to them shall seem most likely to effect their Safety and Happiness."
What is the subject of the painting in the cartoon?

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business

Suppose that a dependent variable is related to $K$ independent variables through a multiple regression model. Let $R^2$ denote the coefficient of determination and $\bar{R}^2$ , the corrected coefficient. Suppose that $n$ sets of observations are used to fit the regression.

a. Show that

\bar{R}^2=\frac{(n-1) R^2-K}{n-K-1}

b. Show that

R^2=\frac{(n-K-1) \bar{R}^2+K}{n-1}

c. Show that the statistic for testing the null hypothesis that all the regression coefficients are 0 can be written as

\frac{S S R / K}{S S E /(n-K-1)}=\frac{n-K-1}{K} \cdot \frac{\bar{R}^2+A}{1-\bar{R}^2}

where

A=\frac{K}{n-K-1}

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Savings and Retirement

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