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A Local Parent Group Was Concerned with the Increasing Cost

question 48

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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.  Coefficients  Stardard Error t Statistic p-value  Intercept 707.9144435.11831.6269470.114567x12.90330781.628020.0355680.971871x1211.912973.8062113.1298780.003967\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}  df  SS  MS Fp-value  Regression 2320551531602757747.345571.49E09 Residual 279140128338523.3 Total 2941195281\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 α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = 0, the critical t value is ____.


Definitions:

Xenophobia

A fear or hatred of foreigners, people from different cultures, or strangers, often manifesting in discriminatory attitudes and behaviors.

Stereotyping

A cognitive process where individuals assign specific attributes to others based on their membership in a particular social group, often leading to oversimplified and generalized beliefs.

Ethnocentrism

The conviction that one's own ethnic group or culture is naturally superior to others.

Coherent

Logically connected and consistent, making it easy to understand.

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