A Multiple Regression Analysis Produced the Following Tables Using $\alpha$

question 9

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & 1411.876 & 7.621533 & & \\\hline \boldsymbol { x } _ { 1 } & 35.18215 & 96.8433 & & \\\hline \boldsymbol { x } _ { 1 } ^ { 2 } & - 7.721648 & \mathbf { 3 . 0 0 7 9 4 3 } & & \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F \\\hline \text { Regression } & 2 & 58567032 & 29283516 & 57.34861 \\\hline \text { Residual } & 21 & 12765573 & 510622.9 & \\\hline \text { Total } & 23 & 71332605 & & \\\hline\end{array}$$ Using $\alpha$ = 0.01 to test the null hypothesis H₀: $\beta$ ₁ = $\beta$ ₂ = 0, the critical F value is ______.

• A)8.09
• B)6.89
• C)6.09
• D)5.78
• E)5.09

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Definitions:

Population

The entire aggregation of items or individuals from which samples can be drawn for statistical analysis.

Measure of Variability

A statistic that describes the degree to which scores in a distribution spread out or cluster together, such as range, variance, or standard deviation.

Statistic

A numerical measure that describes a characteristic of a sample derived from a larger population.

Asymmetrical

Lacking symmetry; when two sides or halves of something do not match or are not equal in shape, size, or composition.