Question

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

1 Score, x	2 Score, y
47	30
70	86
65	17
46	10
58	63
57	25
81	37
27	30
69	20

where x measures the 1 score and y measures the 2 score. What is the estimate of the y = a x + b regression intercept coefficient?

Answer 1

From the given data, the following Table is calculated:

X	Y	XY	X2
47	30	1410	2209
70	86	6020	4900
65	17	1105	4225
46	10	460	2116
58	63	3654	3364
57	25	1425	3249
81	37	2997	6561
27	30	810	729
69	20	1380	4761
Total = 520	318	19261	32114

Regression slope coefficient isgiven by:

Regression intercept coefficient is given by:

So,

Regression equation is:

y = 0.429 x + 10.551

Question:

What is the estimate of the y = a x + b regression intercept coefficient?

10.551