Height (ft) 73 111 100 99 120 73 77 112 Interval after (min) 67 84 67 77 84 58 6

Question

Height (ft) 73 111 100 99 120 73 77 112 Interval after (min) 67 84 67 77 84 58 69 70 The data show the time intervals after an eruption (to the next eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent () variable. Find the best predictled time of the intervail afer an eruption given that the current eruption has a height of 70 feet. Use a significance level of 0.05 73 11110099120-73-77-112- 1678467778458 interval after (min) Click tre con to viewte crtical values ofthe Pearson correlation coefficient t What is the regression equation? (Round to two decimal places as needed.) Enter your wwwer in the edi lds and then ock Check Answer

Explanation / Answer

Ans:

x

73

Regression Equation(y) = a + bx

Slope(b) = (NXY - (X)(Y)) / (NX2 - (X)2)

Intercept(a) = (Y - b(X)) / N

slope,b=(8*56005-765*576)/(8*75653-765^2)=0.37

intercept,a=(576-0.37*765)/8=36.62

Regression equation:

y'=36.62+0.37x

x

y x*y x^2 y^2 1

73

67 4891 5329 4489 2 111 84 9324 12321 7056 3 100 67 6700 10000 4489 4 99 77 7623 9801 5929 5 120 84 10080 14400 7056 6 73 58 4234 5329 3364 7 77 69 5313 5929 4761 8 112 70 7840 12544 4900 Total= 765 576 56005 75653 42044 slope,b= 0.37 intercept,a= 36.62

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