3. Pronghorn antelope are beautiful and graceful animals that live on the high p

Question

3. Pronghorn antelope are beautiful and graceful animals that live on the high plains of the Western United States. Thunder Basin National Grasslands in Wyoming is home to hundreds of antelope The Bureau of Land Management (BLM) has been studying the Thunder Basin antelope population for the past eight years. The variables used are given in the table below Do a multiple regression on these data and put your hypotheses and conclusions (with parenthetical support statements) about each independent variable in the box provided X2 13.2 11.5 10.8 12.3 12.6 10.6 14.1 11.2 Thunder Basin Antelope Study X1 9.2 8.7 7.2 8.5 9.6 6.8 9.7 7.9 X3 2.9 2.4 2.0 2.3 3.2 1.9 3.4 2.1 2 The data (Y, X1, X2, X3) are for each year Y-spring fawn count/100 X1- size of adult antelope population/100 X2 - annual precipitation (inches) X3 -winter severity index (1-mild, 5 severe) 4 1

Explanation / Answer

Regression Summary Output :

Which independent factor has the greater impact on the spring fawn count?

Here X2 or Anuual Precipation (inches) is the factor which have put greater impact on the spring fawn count.

What statistical parameter gives you the answer to the question above?

Here value of t - stat will determine the parameter which gives you the answer.

SUMMARY OUTPUT Regression Statistics Multiple R 0.9871 R Square 0.9743 Adjusted R Square 0.9550 Standard Error 0.1209 Observations 8 ANOVA df SS MS F Significance F Regression 3 2.2165 0.7388 50.5239 0.0012 Residual 4 0.0585 0.0146 Total 7 2.275 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept -5.9220 1.2556 -4.7164 0.0092 -9.4082 -2.4358 -9.4082 -2.4358 X1 0.3382 0.0995 3.4002 0.0273 0.0620 0.6144 0.0620 0.6144 X2 0.4015 0.1099 3.6533 0.0217 0.0964 0.7066 0.0964 0.7066 X3 0.2629 0.0851 3.0885 0.0366 0.0266 0.4993 0.0266 0.4993

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