a)

Write out the model for women: ______________________

b)

Write out the model for men: ___________________

She reports the following information

c)

Give the test statistic for testing whether exam score is associated with any of the three predictors..

d)

Is the p-value Larger/Smaller than 0.05? Why?

e)

Test whether there is an interaction between gender and amount of sleep on exam scores (that is, does the “sleep effect” differ among women and men, test at 0.05 significance level).

i)

H0:

ii) HA:

iii) Test Statistic:

iv) Is the P-value Larger/Smaller than 0.05?

v) Based on iv), do you conclude there is an interaction? Yes/No

The following two problems are based on the following information

A production manager for a factory is interested in estimating her firm’s total cost function based on amount produced. In particular, she is interested in determining whether the function is linear in output, versus whether it is nonlinear (either bends up or down with increasing output). She fits the model, based on 15 production runs of varying size, observing total cost (Y) and number of items produced (X). She fits the following regression model (assuming independent and normally distributed errors with constant