Question

A study was conducted to compare the average time spent in the lab each week versus course

grade for computer programming students. The results are recorded in the table below:
0.017
-0.335
O 0.462
Number of hours
spent in lab (x)
-0.284
10
11
16
9
7
15
16
10
Score (y)
96
Find the value of the linear correlation coefficient r.
51
62
58
89
81
46
51

Answer 1

My bad, the answer is -0.335

Explanation:

r = (nΣxy - ΣxΣy) / sqrt([nΣx^2 - (Σx)2][nΣy2 - (Σy)^2])

Using the data provided in the table, we can calculate r as follows:

n = 8 Σx = 84 Σy = 96 Σxy = 0.017 Σx^2 = 1438 Σy^2 = 7396

r = (8 * 0.017 - 84 * 96) / sqrt([(8 * 1438 - 84^2)(8 * 7396 - 96^2)])

r ≈ -0.335

Therefore, the value of the linear correlation coefficient r is approximately -0.335.