Completion Status: Question 2 12 points Save A The following is the output of a simple regression model that is predicting y = the number of umbrellas sold based off of x = the amount of rainfall in millimeter in a given month. SUMMARY OUTPUT Regression Statistics Multiple R 0.957666798 R Square 0.917125697 Adjusted R Square 0.913358683 Standard Error 3.58141382 Observations 24 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -19.07410899 3.372182168 -5.656310378 1.09E-05 -26.06758677 -12.08063122 Rainfall 0.45000132 0.02884018 15.6032773 2.22E-13 0.390190448 0.5098121925 a) Interpret, in context, the slope coefficient for the x-variable. b) Conduct a hypothesis test of the population slope at 5% significance based off this sample. What are the null and alternative hypotheses? State the P-value and interpret the results of the test in conte to this problem. c) Interpret, in context to this problem, the standard error of the estimates. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). . BIUS Paragraph Open Sans, a... 10pt V Ev ABC E E X2 X2 IT The V . Re Assessment Details Calculator X Webcam Minimize Assessment in Progress MacBook Pro