Refer to the table of data given in Exercise 1 and use the heights and interval after times.

a. Construct a scatterplot. What does the scatterplot suggest about a linear correlation between heights of eruptions and interval-after times?
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 heights of eruptions and interval after times.
c. Letting y represent the interval-after time and letting x represent height, find the regression equation.
d. Based on the given sample data, what is the best predicted interval-after time for an eruption with a height of 100 ft?

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Eruptions of the Old Faithful Geyser Duration Height Interval Before Interval After 240 140 98 92 120 178234 235 269 255220 140 93 83 110 90 65 125 92 72 120 98 94 120 105 94 125 81 101 150 108 87 Pearson correlation of DURATION and AFTER0.926 value- 0 . 001 The regression equation is AFTER 34.8 ◆ 0.234 DURATION