Question

Here are the golf scores (again) of 12 members of a college women's golf team in two rounds of tournament play. (A golf score is the number of strokes required to complete the course, so that low scores are better.) To what extent may we predict the second round score from the first round score?

Player | 1 2 3 4 5 6 7 8 9 10 11 12

Round 1 | 89 90 87 95 86 81 102 105 83 88 91 79

Round 2 | 94 85 89 89 81 76 107 89 87 91 88 80

Run a significance test that there is no relationship between the first round and second round scores.

Answer 1

	Round 1	Round 2	(X-Mx)^2	(Y-My)^2	(X-mx)(Y-My)
	89	94	2.25	36	-9
	90	85	0.25	9	1.5
	87	89	12.25	1	-3.5
	95	89	20.25	1	4.5
	86	81	20.25	49	31.5
	91	76	0.25	144	-6
	102	107	132.25	361	218.5
	105	89	210.25	1	14.5
	83	87	56.25	1	7.5
	88	91	6.25	9	-7.5
	91	88	0.25	0	0
	79	80	132.25	64	92
mean	90.5	88
Sum	1086	1056	593	676	344

To test the relationship between variables:

Correlation coefficient:

n= 12

Correlation coefficient test:

df= n-2= 10

Assume:

The test statisitc:

P-value:0.067898

The test statistic is not significant and failed to reject at 0.05 significant level. There is insufficient evidence to support the claim that there is no relationship between the first round and second round scores.