The eruption height and the time interval after eruption of a geyser were measured and are shown below. Answer part a-c.
Height (x) 120 110 125 140 140 120 150 125
Interval after (y) 94 65 40 55 92 94 87 101
a. Find the value of the linear correlation coefficient r.
b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using 0.05.
c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
A. Yes, because the absolute value of the correlation coefficient is less than the critical value.
B. Yes, because the absolute value of the correlation coefficient is greater than the critical value
C. No, because the absolute value of the correlation coefficient is less than the critical value
D. No, because the absolute value of the correlation coefficient is greater than the critical value.