A Multiple Regression Analysis Produced the Following Tables The Minimum Value of the Predicted Value of the Dependent

question 58

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Irtercept } & 1411.876 & 7.621533 & & \\\hline \boldsymbol { x } _ { 1 } & 35.18215 & 96.8433 & & \\\hline \boldsymbol { x } _ { 1 } ^ { 2 } & - 7.721648 & \mathbf { 3 . 0 0 7 9 4 3 } & & \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F \\\hline \text { Regression } & 2 & 58567032 & 29283516 & 57.34861 \\\hline \text { Residual } & 25 & 12765573 & 510622.9 & \\\hline \text { Total } & 27 & 71332605 & & \\\hline\end{array}$$ The minimum value of the predicted value of the dependent variable is reached when
X₁ = ______.

• A)2.15815
• B)3.18512
• C)3.37785
• D)3.40125
• E)a value not listed here

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Definitions:

Defective Bottles

Refers to bottles that fail to meet the quality standards due to manufacturing errors or defects.

Population Means

The average values of a characteristic within an entire population.

Confidence Interval

A set of numbers from sample-derived statistics, believed to hold the value of an unnoticed population parameter.

Z-values

Statistical measures that represent the number of standard deviations an element is from the mean.