Use Computer Software to Obtain the Multiple Regression Equation A) 145 Ft
B) 127 Ft
C) 151 Ft
D)

question 42

Multiple Choice

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 81 seconds and the duration is 221 seconds. $$\begin{array} { | c c c } \hline \hline \text { HEIGHT } & \text { INTERVAL } & \text { DURATION } \\\hline 150 & 86 & 240 \\154 & 86 & 237 \\140 & 62 & 122 \\140 & 104 & 267 \\160 & 62 & 113 \\140 & 95 & 258 \\150 & 79 & 232 \\150 & 62 & 105 \\160 & 94 & 276 \\155 & 79 & 248 \\125 & 86 & 243 \\136 & 85 & 241 \\140 & 86 & 214 \\155 & 58 & 114 \\130 & 89 & 272 \\125 & 79 & 227 \\125 & 83 & 237 \\139 & 82 & 238 \\125 & 84 & 203 \\140 & 82 & 270 \\140 & 82 & 270 \\140 & 78 & 218 \\135 & 87 & 270 \\140 & 70 & 241 \\100 & 56 & 102 \\105 & 81 & 271 \\\hline\end{array}$$

• A) 145 ft
• B) 127 ft
• C) 151 ft
• D) 139 ft

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Definitions:

Simple Comparisons

Analytical comparisons between two groups.

Familywise Error

The chance of encountering one or more incorrect rejections, known as type I errors, while testing several hypotheses.

Critical Value

A critical value is a point on the scale of a statistical distribution that corresponds to a specified level of significance for the testing of a hypothesis.

Complex Comparisons

Refers to analyses involving multiple comparisons within a set of data, typically requiring adjustment of significance levels to account for the increased risk of Type I error.