In a study on the elimination of a certain drug in man, the following data were recorded:
|
Time in Hours
X
|
Drug Concentration (µ,g/ml)
Y
|
|
0.5
|
0.42
|
|
0.5
|
0.45
|
|
1.0
|
0.35
|
|
1.0
|
0.33
|
|
2.0
|
0.25
|
|
2.0
|
0.22
|
|
3.0
|
0.20
|
|
3.0
|
0.20
|
|
4.0
|
0.15
|
|
4.0
|
0.17
|
Intermediate calculations show X = 21, Y = 2.74, X 2 = 60.5, Y 2 = 0.8526, and X Y = 4.535.
a. Plot the scatter diagram.
b. Determine the regression line relating time (X) to concentration of drug (Y).
c. Determine a 99% confidence interval for the slope parameter 13.
d. Test the null hypothesis of no relationship between the variables at a = 0.01.
e. Is (d) the same as testing that the slope is zero?
f. Is (d) the same as testing that the correlation is zero?
g. What is the predicted drug concentration after two hours?