I’m interested in assessing whether someone’s resting heart rate (X) is related to how fast they are able to finish running a 5k race (5k is 3.1 miles) (Y). I gather data from a set of runners and want to see whether, at an alpha of 0.05, there is a significant relationship between resting heart rate and finish time. Use the data below to answer this question: Resting Heart Rate (measured in beats/min) Finish Time (measured in minutes) (Y) 54 30 65 33 60 35 60 32 75 35 70 36 80 45 60 36 55 29 55 27 60 30 please write the equation for the line of best fit for this data (use the form: y’ predicted = b(slope)X + a (intercept)   What is the R2 value? What does it represent in this problem’s context?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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 I’m interested in assessing whether someone’s resting heart rate (X) is related to how fast they are able to finish running a 5k race (5k is 3.1 miles) (Y). I gather data from a set of runners and want to see whether, at an alpha of 0.05, there is a significant relationship between resting heart rate and finish time. Use the data below to answer this question:



Resting Heart Rate (measured in beats/min)

Finish Time (measured in minutes) (Y)

54

30

65

33

60

35

60

32

75

35

70

36

80

45

60

36

55

29

55

27

60

30

  1. please write the equation for the line of best fit for this data (use the form: y’ predicted = b(slope)X + a (intercept)

 

  1. What is the R2 value? What does it represent in this problem’s context? 



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