A Local Parent Group Was Concerned with the Increasing Cost

question 85

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. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline \text { Intercept } & 707.9144 & 435.1183 & 1.626947 & 0.114567 \\\hline \boldsymbol { x } _ { 1 } & 2.903307 & 81.62802 & 0.035568 & 0.971871 \\\hline \mathbf { x } _ { 1 } { } ^ { 2 } & 11.91297 & 3.806211 & 3.129878 & 0.003967 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | c | } \hline & \mathrm { df } & \mathbf { 5 s } & \mathrm { MS } & F & p \text {-value } \\\hline \text { Regression } & 2 & 32055153 & 16027577 & 47.34557 & 1.49 \mathrm { E } - 09 \\\hline \text { Residual } & 27 & 9140128 & 338523.3 & & \\\hline \text { Total } & \mathbf { 2 9 } & 41195281 & & & \\\hline\end{array}$$ These results indicate that ____________.

• A)none of the predictor variables is significant at the 5% level
• B)each predictor variable is significant at the 5% level
• C)x₁ is the only predictor variable significant at the 5% level
• D)x₁² is the only predictor variable significant at the 5% level
• E)each predictor variable is insignificant at the 5% level

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Definitions:

Tables

A systematic arrangement of data in rows and columns for easy reference and analysis.

Pie Graph

A circular chart divided into sectors, each representing a proportion of the whole.

Vertical Axis

In various contexts, this term can refer to the up-and-down direction in a coordinate system, or metaphorically, to hierarchical levels within organizations.

Line Graph

A type of chart used to display information as a series of data points connected by straight line segments.