The following table consists of one student athlete's time (in minutes) to swim 2000 yards and...

The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days.

Day	Time	Heart Rate
1	35.53	151
2	34.47	148
3	34.96	126
4	34.45	151
5	35.16	140
6	36	149
7	34.44	135
8	35.41	155
9	34.06	128
10	35.5	125

For computation purposes,
?¯x¯ = 34.998 , ?¯y¯ = 140.8 , ∑?∑x= 349.98 , ∑?∑y = 1408 , ∑??∑xy = 49295.03 , ∑?2∑x2 = 12252.1068 , ∑?2∑y2 = 199442 ,
Use swim time as the explanatory variable ?x and compute the correlation coefficient, then find the least-squares regression line.

The correlation coefficient is ?=r= . (Round to 4 decimal places.)

The equation of the least squares line is
?̂ =y^= + x. (Round to 4 decimal places.)

Expert Solution

correlation coefficient

Regression equation

orchestra answered 3 years ago

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