A visitor to Yellowstone National Park in Wyoming,Idaho,U.S.A.,sat down one day and observed Old Faithful,which faithfully erupts throughout the day,day in and day out.He surmised that the height of a given eruption was caused by the pressure buildup during the interval between eruptions and by the momentum buildup during the duration of the eruption.He wrote down the data to test his hypothesis,but he didn't know what to do with his data. $$\begin{array} { c c c }
\text { Height } & \text { Interval } & \text { Duration } \
\hline 150 & 86 & 240 \
154 & 86 & 237 \
140 & 62 & 122 \
140 & 104 & 267 \
160 & 62 & 113 \
140 & 95 & 258 \
150 & 79 & 232 \
150 & 62 & 105 \
160 & 94 & 276 \
155 & 79 & 248 \
125 & 86 & 243 \
136 & 85 & 241 \
140 & 86 & 214 \
155 & 58 & 114 \
130 & 89 & 272 \
125 & 79 & 227 \
125 & 83 & 237 \
139 & 82 & 238 \
125 & 84 & 203 \
140 & 82 & 270 \
140 & 82 & 270 \
140 & 78 & 218 \
135 & 87 & 270 \
140 & 70 & 241 \
100 & 56 & 102 \
105 & 81 & 271
\end{array}$$
A)Height = 125.1 + 0.36 Interval - 0.89 Duration
B)Height = 24.8 + 0.53 Interval - 0.11 Duration
C)Height = 126.3 + 0.37 Interval - 0.079 Duration
D)Height = 126.3 + 0.73 Interval - 0.11 Duration
E)Height = 25.1 + 0.73 Interval - 0.62 Duration

Question

A visitor to Yellowstone National Park in Wyoming,Idaho,U.S.A.,sat down one day and observed Old Faithful,which faithfully erupts throughout the day,day in and day out.He surmised that the height of a given eruption was caused by the pressure buildup during the interval between eruptions and by the momentum buildup during the duration of the eruption.He wrote down the data to test his hypothesis,but he didn't know what to do with his data. $$\begin{array} { c c c } 
\text { Height } & \text { Interval } & \text { Duration } \
\hline 150 & 86 & 240 \
154 & 86 & 237 \
140 & 62 & 122 \
140 & 104 & 267 \
160 & 62 & 113 \
140 & 95 & 258 \
150 & 79 & 232 \
150 & 62 & 105 \
160 & 94 & 276 \
155 & 79 & 248 \
125 & 86 & 243 \
136 & 85 & 241 \
140 & 86 & 214 \
155 & 58 & 114 \
130 & 89 & 272 \
125 & 79 & 227 \
125 & 83 & 237 \
139 & 82 & 238 \
125 & 84 & 203 \
140 & 82 & 270 \
140 & 82 & 270 \
140 & 78 & 218 \
135 & 87 & 270 \
140 & 70 & 241 \
100 & 56 & 102 \
105 & 81 & 271
\end{array}$$
A)Height = 125.1 + 0.36 Interval - 0.89 Duration
B)Height = 24.8 + 0.53 Interval - 0.11 Duration
C)Height = 126.3 + 0.37 Interval - 0.079 Duration
D)Height = 126.3 + 0.73 Interval - 0.11 Duration
E)Height = 25.1 + 0.73 Interval - 0.62 Duration

Quizplus · Accepted Answer

The given hypothesis is in the form of a linear equation with the height of the eruption as the dependent variable and the interval and duration as the independent variables. To test the hypothesis, the data collected needs to be regressed against the equation to see if it fits the model. Option C provides the best fit based on the data collected.

A Visitor to Yellowstone National Park in Wyoming,Idaho,U A)Height = 125