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

question 77

Multiple Choice

A multiple regression analysis produced the following tables.  Predictor  Coefficierts  Stardard Error Etatisticp-value  Irntercept 752.083333631582.2362410.042132x111.873755.320472.2317110.042493x21.9081830.6627422.8792260.01213\begin{array} { | c | c | c | c | c | } \hline \text { Predictor } & \text { Coefficierts } & \text { Stardard Error } & \mathbf { E t a t i s t i c } & \boldsymbol { p } \text {-value } \\\hline \text { Irntercept } & 752.0833 & \mathbf { 3 3 6 3 1 5 8 } & \mathbf { 2 . 2 3 6 2 4 1 } & \mathbf { 0 . 0 4 2 1 3 2 } \\\hline \mathbf { x } _ { 1 } & 11.87375 & 5.32047 & \mathbf { 2 . 2 3 1 7 1 1 } & \mathbf { 0 . 0 4 2 4 9 3 } \\\hline \mathbf { x } _ { 2 } & 1.908183 & \mathbf { 0 . 6 6 2 7 4 2 } & \mathbf { 2 . 8 7 9 2 2 6 } & \mathbf { 0 . 0 1 2 1 3 } \\\hline\end{array}  Source df SS  MS Fp-value  Regression 2203693.3101846.76.7454060.010884 Residual 12181184.115098.67 Total 14384877.4\begin{array} { | c | c | c | c | c | c | } \hline \text { Source } & \mathrm { df } & \text { SS } & \text { MS } & F & p \text {-value } \\\hline \text { Regression } & 2 & 203693.3 & 101846.7 & 6.745406 & 0.010884 \\\hline \text { Residual } & 12 & 181184.1 & 15098.67 & & \\\hline \text { Total } & 14 & 384877.4 & & & \\\hline\end{array} Using α\alpha = 0.05 to test the null hypothesis H0: β\beta 1 = β\beta 2 = 0, the critical F value is ____.


Definitions:

Musculocutaneous Nerve

A nerve in the arm that innervates the biceps brachii muscle, playing a key role in bending the elbow and rotating the forearm.

Ansa Cervicalis

Ansa cervicalis is a loop of nerves in the neck that serves to innervate certain muscles responsible for movements of the larynx, pharynx, and other nearby structures.

Autonomic Reflexes

Reflex actions within the body that are involuntarily controlled by the autonomic nervous system, influencing functions such as heart rate and digestion.

Stretch Reflexes

The muscle contraction in response to stretching within the muscle, a mechanism known to maintain muscle tone.

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