A Multiple Regression Analysis Produced the Following Tables The Adjusted R² Is ____________

question 35

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & 624.5369 & 78.49712 & 7.956176 & 6.88 E - 06 \\\hline \boldsymbol { x } _ { 1 } & 8.569122 & 1.652255 & 5.186319 & \mathbf { 0 . 0 0 0 3 0 1 } \\\hline \mathbf { x } _ { 2 } & 4.736515 & 0.699194 & 6.774248 & \mathbf { 3 . 0 6 E - 0 5 } \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Repression } & 2 & 1660914 & \mathbf { 8 3 0 4 5 7 . 1 } & 58.31956 & 1.4 \mathrm { E } - 06 \\\hline \text { Residual } & 11 & 156637.5 & 14239.77 & & \\\hline \text { Total } & 13 & 1817552 & & & \\\hline\end{array}$$ The adjusted R² is ____________.

• A)0.9138
• B)0.9408
• C)0.8981
• D)0.8851
• E)0.8891

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Definitions:

Two-Tailed Hypothesis

A statistical test where the area of interest lies in both tails of the distribution, testing for the possibility of a relationship in both directions.

Level of Significance

A threshold used to decide whether a hypothesis test results are statistically significant.

Standard Error

Refers to the standard deviation of the sampling distribution of a statistic, often used as an estimate of the precision of a sample mean or proportion.

Level of Significance

The predetermined threshold in hypothesis testing, below which the null hypothesis is rejected, indicating statistical significance.