The data show the time intervals after an eruption (to the eruption) of a certai

Question

The data show the time intervals after an eruption (to the eruption) of a certain geyser. Find the regression equation, letting the first variable be the independent (x) variable. Find the best predicted time of the interval after an eruption given that the current eruption has a height of 149 feet. Use a significance level of 0.05. Interval after (min) What is the regression equation? (Round to two decimal places as needed.) What is the best predicted time for the interval after an eruption that is 149 feet high? (Round to one decimal place as needed.)

Explanation / Answer

a. Step 1: Find XY and X2 as it was done in the table below.

Step 2: Find the sum of every column:

X=970 , Y=636 , XY=78132 , X2=120230

Step 3: Use the following equations to find a and b:

a=YX2XXY/nX2(X)2=63612023097078132/8120230970232.39

b=nXYXY/nX2(X)2=878132970636/8120230(970)20.389

Step 4: Substitute a and b in regression equation formula

y  = a + bx= 32.39 + 0.389x

b. For x=149, y=32.39+0.389*149=90.351

X Y XY XX 108 77 8316 11664 124 73 9052 15376 108 81 8748 11664 152 87 13224 23104 100 69 6900 10000 138 91 12558 19044 137 90 12330 18769 103 68 7004 10609

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