Question

The computer-science aptitude score, x, and the achievement score, y (measured by a comprehensive final), were measured for 10 students in a beginning computer-science course. The results were as follows. Calculate the estimated standard error of regression, sb1. (Give your answer correct to two decimal places.) x 22 13 9 10 17 21 7 15 6 14 y 34 35 33 15 23 29 26 24 24 30

Answer 1

	X	Y	X * Y
	22	34	748	484
	13	35	455	169
	9	33	297	81
	10	15	150	100
	17	23	391	289
	21	29	609	441
	7	26	182	49
	15	24	360	225
	6	24	144	36
	14	30	420	196
Total	134	273	3756	2070

Equation of regression line is


b = 0.3564

a =( 273 - ( 0.3564 * 134 ) ) / 10
a = 22.5241
Equation of regression line becomes

	Y
	34	30.36516	13.21205928
	35	27.15743	61.50583515
	33	25.73178	52.82704485
	15	26.08819	122.9480111
	23	28.58309	31.17089818
	29	30.00875	1.01756921
	26	25.01895	0.962458244
	24	27.87026	14.97893097
	24	24.66254	0.438954539
	30	27.51385	6.180949796
Total	273	273	305.2427114

Unbiased Estimator of
Standard Error of Estimate