Question

A random sample of 9 biology students produced the following data,

first test Score, x	second test Score, y
22	30
53	37
67	10
69	38
68	21
91	82
98	28
46	36
16	27

where x measures the first test score and y measures the second test score. What is the estimate of the y = a x + b regression slope coefficient?

Answer 1

first test Score, x	second test Score, y	xy	x2
22	30	660	484
53	37	1961	2809
67	10	670	4489
69	38	2622	4761
68	21	1428	4624
91	82	7462	8281
98	28	2744	9604
46	36	1656	2116
16	27	432	256
530	309	19635	37424	Sum
58.889	34.333			Average

n = 9

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So, Slope coefficient = 20.70