A multiple regression model is developed by a lecturer in order to study how students fare in their end-of-year exams. The dependent variable is the score a student achieves in the end-of-year exam (y) and this variable is modeled against two independent variables: their score in the mid-year exam (x1) and the number of hours they spent studying for the end-of-year exam (x2).

y = ?0 + ?1x1 + ?2x2 + ?

A sample of 60 students is collected. For each student, the student's score in the mid year exam, the number of hours they studied, and their score in the end-of-year exam are recorded. The following regression equation was developed:

y^ = 5 + 0.8x1 + 0.4x2

A t test is to be conducted in order to assess the significance of mid-year score in predicting end-of-year score. Select whether the following statements about the test are true or false:

i. True
ii. False

a) The test will assess whether all coefficients except ?1 are zero.
b) Assuming the null hypothesis is true, the test statistic follows the t distribution with 58 degrees of freedom.
c) The test is one-tailed.