The eruption height and the time interval after eruption of a geyser were measured and are shown below.

 
(a) Find the value of the linear correlation coefficient r.

(b) Find the critical values of r from the table, using a = 0.05.

(c) Is there sufficient evidence to conclude that there is a linear correlation between the two variables?

A. No, because the absolute value of the correlation coefficient is greater than the critical value.

B. No, because the absolute value of the correlation coefficient is less than, because the absolute value of the correlation coefficient is less than the critical value.

C.  Yes, because the absolute value of the correlation coefficient is less than  the critical value.

D. Yes, because the absolute value of the correlation coefficient is greater than, because the absolute value of the correlation coefficient is greater than the critical value.

Transcribed Image Text:

Height (x) 1 40 1 15 110 130 100 110 150 115 Interval after (y) 73 91 84 82 55 84 77 40 Height (x) 1 40 1 15 110 130 100 110 150 115 Interval after (y) 73 91 84 82 55 84 77 40

Answer rating: 100% (QA)

a Tabulation x y xy x2 y2 140 115 110 130 100 110 150 115 Total 970 73 91 84 82 55 84 77 40 Total 58... View the full answer