A Local Parent Group Was Concerned with the Increasing Cost

question 72

Multiple Choice

A local parent group was concerned with the increasing cost of school for families with school aged children.The parent group was interested in understanding the relationship between the academic grade level for the child and the total costs spent per child per academic year.They performed a multiple regression analysis using total cost as the dependent variable and academic year (x₁) as the independent variables.The multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Intercept } & 707.9144 & 435.1183 & 1.626947 & 0.114567 \\\hline \boldsymbol { x } _ { 1 } & 2.903307 & 81.62802 & 0.035568 & 0.971871 \\\hline \mathbf { x } _ { 1 } ^ { 2 } & 11.91297 & 3.806211 & 3.129878 & 0.003967 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline & \text { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Regression } & 2 & 32055153 & 16027577 & 47.34557 & 1.49 \mathrm { E } - 09 \\\hline \text { Residual } & 27 & 9140128 & 338523.3 & & \\\hline \text { Total } & 29 & 41195281 & & & \\\hline\end{array}$$ Using $\alpha$ = 0.05 to test the null hypothesis H₀: $\beta$ ₂ = 0, the critical t value is ____.

• A)± 1.311
• B)± 1.699
• C)± 1.703
• D)± 2.052
• E)± 2.502

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Definitions:

Res Ipsa Loquitur

A legal principle that infers negligence from the very nature of an accident or injury, in the absence of direct evidence on how any defendant behaved.

Plaintiff

An individual or entity who initiates a lawsuit against another party in a court of law.

Jurisdiction

The official power to make legal decisions and judgments, often defined by geographic area or type of case.

Proving Their Case

The requirement for a party in a legal dispute to present sufficient evidence to support their claims or defense.