Question

The table entries represent team data from the Canadian Football Leaque on selected performance indicators between 2010 and 2012. Overall League Rank 2012 Offensive Statistics Team Division 2010 2011 2012 Avg. Total TD's Yards Yards |(season) (game) (season) B.C. West 6 1 1 389 7254 46 Calgary West 1 3 2 377 7046 51 Saskatchewan West 3 8 5 349 6677 41 Edmonton West 7 2 6 340 6540 38 Montréal East 2 5 3 371 6953 51 Toronto East 5 7 4 358 6747 36 Winnipeg East 8 4 7 327 6434 33 Hamilton East 4 6 8 379 7160 49

Answer 1

29)

x	y	(x-x̅)²	(y-ȳ)²	(x-x̅)(y-ȳ)
0	46	0.2500	8.2656	-1.438
0	51	0.2500	62.0156	-3.938
0	41	0.2500	4.5156	1.063
0	38	0.2500	26.2656	2.563
1	51	0.2500	62.0156	3.938
1	36	0.2500	50.7656	-3.563
1	33	0.2500	102.5156	-5.063
1	49	0.2500	34.5156	2.938

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	4.00	345.00	2.00	350.9	-3.50
mean	0.50	43.13	SSxx	SSyy	SSxy

correlation coefficient ,    r = SSxy/√(SSx.SSy) =   -0.13

b)

x	y	(x-x̅)²	(y-ȳ)²	(x-x̅)(y-ȳ)
0	7254	0.2500	162106.8906	-201.313
0	7046	0.2500	37878.8906	-97.313
0	6677	0.2500	30406.6406	87.188
0	6540	0.2500	96954.3906	155.688
1	6953	0.2500	10327.6406	50.813
1	6747	0.2500	10894.1406	-52.188
1	6434	0.2500	174201.8906	-208.688
1	7160	0.2500	95249.3906	154.313

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	4.00	54811.00	2.00	618019.9	-111.50
mean	0.50	6851.38	SSxx	SSyy	SSxy

correlation coefficient ,    r = SSxy/√(SSx.SSy) =   -0.10