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

question 52

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline & & & & \\\hline \text { Irtercept } & 1411.876 & 762.1533 & 1.852483 & 0.074919 \\\hline x _ { 1 } & 35.18215 & 96.8433 & 0.363289 & 0.719218 \\\hline x _ { 1 } { } ^ { 2 } & 7.721648 & 3.007943 & 2.567086 & 0.016115 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F \\\hline \text { Repression } & 2 & 58567032 & 29283516 & 57.34861 \\\hline \text { Residual } & 25 & 12765573 & 5106229 & \\\hline \text { Total } & 27 & 71332605 & & \\\hline\end{array}$$ Using $\alpha$ = 0.10 to test the null hypothesis H₀: $\beta$ ₂ = 0, the critical t value is ____.

• A)± 1.316
• B)± 1.314
• C)± 1.703
• D)± 1.780
• E)± 1.708

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Definitions:

Forging Process

A manufacturing procedure where metal is shaped by localized compressive forces, often through hammering or pressing.

Lower Control Limit

The lowest value on a control chart that signals the process variation if the data falls below it.

Compressive Strength

Compressive strength is a measure of the ability of a material to withstand loads tending to reduce size, typically expressed in pounds per square inch (psi) or mega pascals (MPa).

Center Line

A reference line in a chart or graph that represents the average or median of the data points.