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:

Deforestation

The removal of a forest or stand of trees from land which is then converted to a non-forest use, often resulting in ecological imbalance.

Forest Cover

The proportion of land area that is covered by forests, which is crucial for biodiversity, climate regulation, and ecosystem services.

Property Rights

The legal rights to use, control, and derive benefit from resources or property, recognized and enforced by law.