A Multiple Regression Analysis Produced the Following Tables Using $\alpha$

question 86

Multiple Choice

A multiple regression analysis produced the following tables. $$\begin{array} { | c | c | c | c | c | } \hline & \text { Coefficients } & \text { Stardard Error } & t \text { Statistic } & p \text {-value } \\\hline & & & & \\\hline \text { Irtercept } & 1411.876 & 762.1533 & 1.852483 & 0.074919 \\\hline x _ { 1 } & 35.18215 & 96.8433 & 0.363289 & 0.719218 \\\hline x _ { 1 } { } ^ { 2 } & 7.721648 & 3.007943 & 2.567086 & 0.016115 \\\hline\end{array}$$ $$\begin{array} { | c | c | c | c | c | } \hline & \mathrm { df } & \mathrm { SS } & \mathrm { MS } & F \\\hline \text { Regression } & 2 & 58567032 & 29283516 & 57.34861 \\\hline \text { Residual } & 25 & 12765573 & 510622.9 & \\\hline \text { Total } & 27 & 71332605 & & \\\hline\end{array}$$ Using $\alpha$ = 0.05 to test the null hypothesis H₀: $\beta$ ₁ = $\beta$ ₂ = 0, the critical F value is ____.

• A)4.24
• B)3.39
• C)5.57
• D)3.35
• E)2.35

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Definitions:

Malaria Cases

The number of individuals diagnosed with malaria during a given time period.

Weather Variables

Key elements that define the state of the atmosphere, including temperature, humidity, precipitation, wind speed, and atmospheric pressure.

Precipitation

Any kind of water, whether in liquid or solid state, descending from the sky and landing on the surface, encompassing rain, snow, sleet, and hail.

Vector-borne Disease

Illnesses caused by pathogens and parasites in human populations, transmitted by vectors such as mosquitoes, ticks, and fleas.