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:

Depersonalization Disorder

A mental disorder characterized by persistent or recurrent feelings of detachment from one's own body or thoughts, as if one is an outside observer of their own life.

Adolescence

A developmental stage that occurs between childhood and adulthood, characterized by significant physical, psychological, and emotional changes.

La Belle Indifference

A term describing the paradoxical situation where individuals show an unusual lack of concern towards serious symptoms or disabilities.

Depersonalization

A psychological state in which a person feels detached from their thoughts, feelings, and sense of self.