Statistics

Researchers from the first question were able to gather 200 more people and the sample means, sample standard deviations, and linear correlation coefficient of this new data is given below. x is their age in years, and y is their heart rate in beats-per-minute. x = 50.935 Sx = 10.846 - y = 80.741 Sy= 12.732 r= - 0.6132 a) Create a regression line that predicts the heart rate of a person (in beats per minute) given their age. Write your answer in the form V = bix + bo with the coefficients rounded off to 4 decimal places. b) Use your equation to predict the heart rate of a person (in beats per minute) of a person who is 30 years old. c) Suppose that one of the people that the researchers used to create this data set was a man who is 40 years old with a heart rate of 90 BPM. What is the residual for this particular person in this data set using your equation? d) If the researchers removed this man from the data set, would you expect the linear correlation coefficient to get stronger, weaker, or stay the same? Explain your choice