what is the P value for the hypothesis test concerning the existence of a linear relationship between the two variables

P-value

p-value = 0.0006

0.05

P-value = 0.0136

... Exam 4 - ANOVA and Regression Excel output (dragged).pdf (1 page) Exam 4 - ANOVA and Regression Excel output.pdf (page 1 of 2) ! " Q Q Search 1 5 6 Q Search The size in square feet and assessment of 18 homes in Ithaca, New York were studied to determine whether a relationship exists between the size of a home and its assessment. Use the Excel regression output shown To shorten the time it takes him to make his favorite pizza, a student designed an experiment to test the here to answer questions 14 through 30. effect of sugar and milk on the activation times for baking yeast. Specifically, he tested four different recip and measured how many seconds it took for the same amount of dough to rise to the top of a bowl. He randomized the order of the recipes and replicated each treatment 4 times. With a = 0.05, is there a significant difference in the average times among the four recipes? Use the Excel ANOVA output shown Assessment us Size here to answer questions 9 through 13. 80000 75000 SUMMARY OUTPUT 70000 65000 SUMMARY Assessment (dollars) Groups Count Sum Average Variance Regression Statistics Multiple R 0.569851776 55000 Recipe A 4 1945 486.25 6339.583333 50000 R Square 0.324731046 Recipe B 785 196.25 4489.583333 45000 AP Adjusted R Square 0.282526737 Recipe C 2624 656 5490.666667 40000 Standard Error 4682.104467 1500 1700 1900 2100 2300 2500 2700 Recipe D 4 735 183.75 2722.916667 Observations 18 Size (square feet) ANOVA ANOVA df SS MS F Significance F Source of Variation SS df MS F Regression 1 168674414.2 168674414.2 7.694262727 0.013552357 P-value F crit Between Groups 638967.6875 Residual 16 350753635.8 21922102.24 3 212989.2292 44.73917458 8.63974E-07 3.490294819 Total 17 519428050 Within Groups 57128.25 12 4760.6875 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Total 696095.9375 15 Intercept 37108.84945 8664.324755 4.282947661 0.000570588 18741.30148 55476.39741 Size 11.89874684 4.289609109 2.773853408 0.013552357 2.805181763 20.99231193