A clinical physiologist was interested in determining the relationship between time spent exercising (X) and oxygen demand (Y) He measured the oxygen intake of an individual during several exercise periods of varying length and obtained the following data:

n = 6              SS_x = 70
X‾ = 7            SS_y =910
Y‾ = 25          SP_xy = 210

a) What is the linear regression equation relating demand (Y) and time (X)?

b) What is the expected demand for an exercise period of ten minutes?

c) What is the variance of the expected demand in b) above?

d) The investigator believes that the true slope of the relationship is 5. Do the data tend to confirm or deny this hypothesis?

d) If Y is measured in liters and X is measured in minutes, what are the dimensions of

b
Y
X‾
SP_xy
s²_b