Use computer software to obtain the multiple regression equation. Use the estima
ID: 3320783 • Letter: U
Question
Use computer software to obtain the multiple regression equation. Use the estimated equation to find the predicted value. A visitor to Yellowstone National Park sat down one day and observed Old Faithful, which faithfully spurts throughout the day, day in and day out. He surmised that the height, in feet of a given spurt was caused by the pressure build-up during the interval between spurts and by the momentum build-up during the duration of the spurt. He wrote down the data to test his hypothesis. He then used the regression equation he obtained to predict the height of the geyser if the interval is 94 seconds and the duration is 225 seconds HEIGHT INTERVAL DURATION 154 140 140 160 140 150 150 160 155 125 86 62 104 122 113 95 79 62 94 79 86 105 241 140 155 130 125 125 139 125 140 140 140 1 35 140 100 114 89 83 82 82 78 87 70Explanation / Answer
The regression equation is
Height = 126 + 0.370 Interval - 0.079 Duration
Predictor Coef SE Coef T P
Constant 126.32 24.39 5.18 0.000
Interval 0.3704 0.5168 0.72 0.481
Duration -0.0793 0.1057 -0.75 0.460
S = 15.3388 R-Sq = 2.5% R-Sq(adj) = 0.0%
From the analysis, interval and duration do not have significant effect on height at 0.05 level of significance.
The predicted value of height of the geyser if the interval is 94 second and the duration is 225 second is
Height = 126 + 0.370 *94 - 0.079 *225=143.005.
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