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data show the time intervals after an eruption (to the next eruption) of a certa

ID: 2946389 • Letter: D

Question

data show the time intervals after an eruption (to the next eruption) of a certain geyser Find the regression equation, letting the frst varable be the the ieterval after an eruption given that the cuent eruption has a height of 95 feet Use a significance level of 0.05 independent () vanable Find the best predcled time of 115 133 137 140 99 112 108 126 interval afer (mi l Ckck the icon to view the critical values of the Pearson cometation coeftmicient What is the regression equation? .LxRound to wo decimal places as needed ) What s the best predicted time for the interval after an eruption that is 95 feet high? The best predicted interva sme tor an eruption that s 95 feet high sm Round to one decimal peace as needed the answer boxes

Explanation / Answer

a) Regression Equation would be

y = 17.22+0.52x

b) For x = 95

y = 17.22+0.52*95

y = 66.7

SUMMARY OUTPUT Regression Statistics Multiple R 0.7890585 R Square 0.6226134 Adjusted R Square 0.5597156 Standard Error 6.5296881 Observations 8 ANOVA df SS MS F Significance F Regression 1 422.05404 422.05404 9.8988147 0.0199096 Residual 6 255.82096 42.636826 Total 7 677.875 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 17.216651 20.206554 0.852033 0.4268899 -32.227006 66.660307 X Variable 1 0.5208936 0.1655608 3.1462382 0.0199096 0.115781 0.9260062