It is generally assumed that as world class runners speed up, their stride length increases. The average speed and stride length of world class runner was checked at 7 increments. You want to know if there is any relationship between speed and stride length. Do the following tasks and run a hypothesis test to see if there is any measurable relationship between speed and stride length.
A) Scatter plot the data
B) Set up a hypothesis statement regarding the slope term B
C) Find r
D) Find b
E) find a
f) set up the regression equation
G) find the residuals and plot them
H) using the squared residuals fine Se and Sb
I) Test you original hypothesis on B
SPEED 15.86 168.88 17.50 18.62 19.97 21.06 22.11
STRIDE LENGTH 3.05 3.021 3.17 3.25 3.36 3.46 3.55
Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.