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Textbook Expert
Textbook ExpertVerified Tutor
16 Nov 2021

Given information

 Swim yards and the student’s heart rate (beats per minute) after swimming on a random sample of days.

Step-by-step explanation

Step 1.

 

The correlation coefficient, or Pearson product-moment correlation coefficient (PMCC) has a numerical value between and which express the strength of linear relationship between the two variables. When is closer to  it indicates a strong positive relationship. Value of indicates no relationship. Values close to shows a strong negative relationship between two variables. 

 

Simple linear regression is a way to describe relationship between the two variables by an equation of a straight line, called line of best fit, that most closely models the relationship.

Hence, we use the following formula to derive the equation for the line of best fit:

 

Here,

 

Mean of  

Mean of  

 

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