Chapter 12.2, Problem 29E

Consider the following three data sets, in which the variables of interest are x = commuting distance and y = commuting time. Based on a scatterplot and the values of s and r², in which situation would simple linear regression be most (least) effective, and why?

Data Set	1		2		3
	x	y	x	y	x	y
	15	42	5	16	5	8
	16	35	10	32	10	16
	17	45	15	44	15	22
	18	42	20	45	20	23
	19	49	25	63	25	31
	20	46	50	115	50	60

Sxx	17.50	1270.8333	1270.8333
Syy	29.50	2722.5	1431.6667
${\hat{\beta }}_1$	1.685714	2.142295	1.126557
${\hat{\beta }}_0$&	13.666672	7.868852	3.196729
SST	114.83	5897.5	1627.33
SSE	65.10	65.10	14.48