Question

Exam4-over Ch 8, 9, 10(GRADED) This Test Question o 0 The dats show the time intervals aher an eruption (to the next enupton) of a certain geyser Find the regression equation, leting the hrst variable bse the intopenden (e) varable Find the best predicted time of the interval atter in eruption given that the cument enuption has a height of 1 32 foet Use s significance level of 0 05 06 128 73120 88 73 96 Intenni arter İméro )Click the icon to view th enteal vahes of the person enemn coemoet t What in the regression equation? y«D+ひ(Round to two decimal places as needed) What is the best predicted sime for the irnterval after an eruption that in 132 feet high? The bent predicted interva! time for an eruption thatis 132 feet high is □mnte Round to one decimal ploce ss needed )

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Answer #1

Solution: We can use excel regression data analysis tool to find the equation of the regression line. The excel output is given below:

SUMMARY OUTPUT Regression Statistics MultipleR R Square Adjusted R Square Standard Error Observations 0.77 0.60 0.53 6.21 ANOVA Significance F 0.02 MS Regression Residual Total 340.52 231.35 571.88 340.52 8.83 38.56 7 ntercep Slope Coefficients Standárd Error t Stat P-value Lower 95% Upper 95% Intercept 43.36 10.42 0.11 4.16 0.01 0.02 17.87 68.85 0.32 2.97 0.06 0.58

What is the regression equation?

Answer: y 43.36 + 0.32x

What is the best predicted time for the interval after an eruption that is 132 feet high?

Answer: The best-predicted interval time for an eruption that is 132 feet high is:

y 43.36 + 0.32 × 132

small oldsymbol{=85.6}minutes

Please note the data used is given below. Kindly let me know if the data read was correct.

Height (ft Interval after (min 128 85 59 86 AC) 75 73 75 128 a)

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