In: Statistics and Probability
A trainer wishes to find out if there is a relationship between the number of miles walked per week and the weight of a person. The data for the sample are shown:
Miles Walked, x: 15 20 3 12 17 8
Weight (lbs.), y: 147 106 210 160 122 165
a) Compute the value of the correlation coefficient.
b) Find the equation of the regression line.
c) Find y’ (the weight) when x = 11. (Someone walks 11 miles).
The statistical software output for this problem is :
(a)
the value of the correlation coefficient = -0.976
b)
the equation of the regression line = 223.1137 - 5.7158
(c)
y hat (predicted) = 160.24