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:

Hyperbola

A type of conic section that appears as two symmetrical curves, defined mathematically as the set of points where the difference of the distances to two foci is constant.

Standard Form

A way to write numbers using the digits 0-9, where each digit is given a place value, or for equations, a specific arrangement, such as \(Ax + By = C\) for linear equations.

Method of Substitution

A technique used to solve systems of equations where one equation is solved for one variable in terms of the others, and then substituted into another equation.

System of Equations

A collection of two or more equations with the same set of unknowns.