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

question 68

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficients } & \text { Stardard Error } & \boldsymbol { t } \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & - 139.609 & 2548.989 & - 0.05477 & 0.957154 \\\hline \boldsymbol { x } _ { 1 } & 24.24619 & 22.25267 & 1.089586 & \mathbf { 0 . 2 9 5 6 8 2 } \\\hline \mathbf { x } _ { 2 } & 32.10171 & 17.44559 & 1.840105 & 0.08869 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Repression } & 2 & 302689 & 151344.5 & 1.705942 & 0.219838 \\\hline \text { Residual } & 13 & 1153309 & 88716.07 & & \\\hline \text { Total } & 15 & 1455998 & & & \\\hline\end{array}$$ Using $\alpha$ = 0.01 to test the null hypothesis H₀: $\beta$ ₂ = 0, the critical t value is ____.

• A)± 1.174
• B)± 2.093
• C)± 2.131
• D)± 4.012
• E)± 3.012

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Definitions:

Annual Income

The total amount of money earned by an individual or household in one year, from all sources.

Education Level

The highest degree or stage of education that an individual has completed.

Correlations

A measure showing the extent to which two or more variables fluctuate together.

Illusory Correlation

The mistaken perception of a relationship between two events or variables that are actually unrelated.