Here are data on the time in minutes Professor Moore takes t

Here are data on the time (in minutes) Professor Moore takes to swim 2000 yards and his pulse rate (beats per minute) after swimming on a random sample of 23 days. (a) Is there statistically significant evidence of a negative linear relationship between Professor Moore?s swing time and his pulse rate in the population of days on which he swims 2000 yards? Carry out an appropriate significance test at the alpha = .05 level.

Solution

Step 2: Find the sum of every column:

?X=770.6 , ?Y=3082 , ?X?Y=107842.2 , ?X2=27003

a =496.8 and b = -10.184

The graph of the regression line is:

y = 496.8-10.184x

As slope is negative there is a negative linear relationship.

X	Y	X?Y	X?X
34.1	152	5183.2	1162.81
35.7	124	4426.8	1274.49
34.7	140	4858	1204.09
34.1	152	5183.2	1162.81
34.1	146	4978.6	1162.81
35.7	128	4569.6	1274.49
36.2	136	4923.2	1310.44
35.6	144	5126.4	1267.36
35.4	148	5239.2	1253.16
35.6	144	5126.4	1267.36
35.4	136	4814.4	1253.16
36.1	124	4476.4	1303.21
34.9	148	5165.2	1218.01
34.7	144	4996.8	1204.09
34.8	140	4872	1211.04
33.9	156	5288.4	1149.21
34.6	136	4705.6	1197.16
34	148	5032	1156
34.4	148	5091.2	1183.36
35.6	132	4699.2	1267.36
35.7	124	4426.8	1274.49
35.3	132	4659.6	1246.09