Microsoft Word - Quiz 5

1. In a laboratory experiment, data were gathered on the life span (Y in months) of 33 rats, units of daily protein intake (X1), and whether or not agent X2 (a proposed life extending agent) was added to the rats diet (X2 = 0 if agent X2 was not added, and X2 = 1 if agent was added.) From the results of the experiment, the following regression model was developed.

Y=36+0.8X₁-1.7X₂

Microsoft Word - Quiz 5

Also provided are SSR = 60 and SST = 180. From the above function, it can be said that the life expectancy of rats that were given agent X2 is

a. 1.7 months more than those who did not take agent X2

b. 1.7 months less than those who did not take agent X2

Microsoft Word - Quiz 5

c. 0.8 months less than those who did not take agent X2

d. 0.8 months more than those who did not take agent X2

The life expectancy of a rat that was given 2 units of agent X2 daily, but was not given any protein is

a. 32.6

b. 36

c. 38

d. 34.3

Microsoft Word - Quiz 5

The degrees of freedom associated with SSE are

a. 3

b. 33

c. 32

d. 30

The multiple coefficient of determination is

a. 0.2

b. 0.5

c. 0.333

d. 5

Microsoft Word - Quiz 5

If we want to test for the significance of the model, the critical value of F at 95% confidence is

a. 4.17

b. 3.32

c. 2.92

d. 1.96