Question

Question 14 (7 points) The following table lists the heights (in inches) and weights (in pounds) for a sample of National Football League quarterbacks: 77 76 77 72 76 77 241 225 241 209 225 Compute the correlation coefficient. Round your answer to three decimal places. Write only a number as your answer. Your Answer: Answer Question 15 (7 points) The following table lists the ages for a sample of couples on a vacation cruise. 45 54 45 55 59 49 51 63 46 64 69 45 The least-squares regression line is in the form y- bo + b1x. Compute the value of bl. That is, compute the slope. Round your answer to two decimal places. Write only a number as your answer. Your Answer: Answer

Answer 1

14)

X	Y	XY	X^2	Y^2
77	241	18557	5929	58081
76	225	17100	5776	50625
77	241	18557	5929	58081
72	209	15048	5184	43681
76	225	17100	5776	50625
77	244	18788	5929	59536

n	6
sum(XY)	105150.00
sum(X)	455.00
sum(Y)	1385.00
sum(X^2)	34523.00
sum(Y^2)	320629.00
Numerator	725.00
Denominator	791.86
r	0.9156
r square	0.8383
Xbar(mean)	75.8333
Ybar(mean)	230.8333
SD(X)	1.7717
SD(Y)	12.4153
b	6.4159
a	-255.7080

(3)-(«) (3)-(3) ... (3)() - -

r = correlation coefficient = 0.916

15)

X	Y	XY	X^2	Y^2
45	51	2295	2025	2601
54	63	3402	2916	3969
45	46	2070	2025	2116
55	64	3520	3025	4096
59	69	4071	3481	4761
49	45	2205	2401	2025

n	6
sum(XY)	17563.00
sum(X)	307.00
sum(Y)	338.00
sum(X^2)	15873.00
sum(Y^2)	19568.00
Numerator	1612.00
Denominator	1768.95
r	0.9113
r square	0.8304
Xbar(mean)	51.1667
Ybar(mean)	56.3333
SD(X)	5.2414
SD(Y)	9.3749
b	1.6299
a	-27.0647

PREDICTED Y= a +bX b=rSD a=7 – 6X

b1 = 1.63