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A Local Parent Group Was Concerned with the Increasing Cost

question 87

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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} df5sMSFp-value  Regression 2320551531602757747.345571.49E09 Residual 279140128338523.3 Total 2941195281\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} Using α\alpha = 0.01 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0, the critical F value is ____.

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Definitions:

Developing Gametes

The process of gametogenesis, where germ cells undergo division and maturation to form mature sperm in males or ova (eggs) in females.

Developing Embryo/Fetus

Refers to the growth and development process of a new organism inside a mother's womb, from conception until birth.

Luteal Phase

Portion of the menstrual cycle extending from the time of formation of the corpus luteum after ovulation to the time when menstrual flow begins; usually 14 days in length; also called secretory phase.

Blood Hormone Levels

The concentration of hormones within the bloodstream, which can affect various bodily functions and health conditions.

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