Considering an alpha of 0.05, which variables are considered significant? What i

Question

Considering an alpha of 0.05, which variables are considered significant? What is the regression equation?

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.98481543 0.969861431 0.963516469 34.71639988 24 ANOVA df MS Significance F 4736902.4933 184225.6233 152.8553594 3.63787E-14 Regression Residual Total 19 22899.33999 1205.228421 23 759801.8333 t Stat Coefficients Standard Error 347.7943627 414.4384673 -0.839194211 0.411795102 195.8444451 11.0394440117.74042651 2.78185E-13 0.074736619 0.010158343 7.357166134 5.68261E-07 P-value Intercept PAI PBMac 174.662497 31.71760936 5.5067989192.5962E-05 81.61876003 22.18290162 3.679354551 0.001592963

Explanation / Answer

a) When you perform a hypothesis test in statistics, a p-value helps you determine the significance of your results. ... The p-value is a number between 0 and 1 andinterpreted in the following way: A small p-value (typically 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.

All the variables are significant as for them null is rejected because p value < 0.05

Only intercept is not significant.

b) Equation:

y = -347.79 - 195.844 * P + 0.0747366 * M + 174.6624 * PAI + 8.61876 * PBMac

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