Refer to the table of data given in Exercise 1 and use the durations and heights.

a. Construct a scatterplot. What does the scatterplot suggest about a linear correlation between duration and height?
b. Find the value of the linear correlation coefficient and determine whether there is sufficient evidence to support a claim of a linear correlation between duration and height.
c. Letting y represent height and letting x represent duration, find the regression equation.
d. If an eruption has a duration of 200 sec, what is its best predicted height?

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Eruptions of the Old Faithful Geyser Duration Height Interval Before 98 Interval After 240 120 178 234235269 255 220 140 110125 0140 120 125 150 108 101 87 90 92 98 93 105 8 92 65 72 94 83 94