The accompanying table shows the height​ (in inches) of 8 high school girls and their scores on an IQ test. Complete parts​ (a) through​ (d). Height, x IQ score, y 59 101 67 107 69 113 58 98 62 109 68...

The accompanying table shows the height​ (in inches) of 8 high school girls and their scores on an IQ test. Complete parts​ (a) through​ (d).

Height, x    IQ score, y
59    101
67    107
69    113
58    98
62    109
68    120
54    127

(b) Calculate the sample correlation coefficient r

​(c) Describe the type of​ correlation, if​ any, and interpret the correlation in the context of the data.

(d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient. Let α=0.01.