The US government is interested in understanding what predicts death rates. They have a set of data that includes the number of deaths in each state, the number of deaths resulting from vehicle accidents (VEHICLE), the number of people dying from diabetes (DIABETES), the number of deaths related to the flu (FLU) and the number of homicide deaths (HOMICIDE).

Your run a regression to predict deaths and get the following output:

At alpha=0.05, what is indicated by the significance F in this problem?

A. The regression model does not significantly predict deaths.

B. The regression model significantly predicts deaths.

C. Two of the four independent variables significantly predict deaths.

D. Three of the four independent variables significantly predict deaths.

$\begin{array}{|cc|}\hline \text{Multiple R}& 0.874642613\\ \text{R Square}& 0.764999351\\ \text{Adjusted R Square}& 0.744564512\\ \text{Standart Error}& 62.97881926\\ \text{Obsevations}& 51\\ \hline\end{array}\phantom{\rule{0ex}{0ex}}$

$\text{ANOVA}$

$\begin{array}{|cccccc|}\hline & df& SS& MS& F& SignificanceF\\ \text{Regression}& 4& \mathrm{593934..928}& 148483.732& 37.43603514& 6.36772F-14\\ \text{Residual}& 46& 182451.2571?3966\u044e331676& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}\\ \text{Total}& 50& 776386.1851& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}& \phantom{\rule{0ex}{0ex}}\\ \hline\end{array}$

$\phantom{\rule{0ex}{0ex}}\begin{array}{|ccccccc|}\hline & Coefficients& StandartError& tStart& P-value& Lower95\mathrm{\%}& Upper95\mathrm{\%}\\ \text{Intecept}& 240.8002285& 51.13392961& 4.709206398& 2.31605E-05& 137.8729666& 343.7274903\\ \text{VEHICLE}& 3.042782981& 1.582326221& 1.922980824& 0.06068593& -0.142274506& 6.227840468\\ \text{DIABETES}& 11.24212265& 1.659066489& 6.776173665& 1.97533E-08& 7.902595017& 14.58165028\\ \text{FLU}& 12.32304584& 2.057012215& 5.990749957& \mathrm{2..9897}E-07& 8.182495007& 16.46359668\\ \text{HOMICIDE}& 1.362128456& 2.113562817& 0.644470297& 0.522471501& -2.892252837& 5.616509749\\ \hline\end{array}$