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
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