Tristan has completed his STAT 1342 course. He intends to build a simple linear regression model using control variable (X) as number of hours per week for his preparations and (Y ) as the weekly performance measured in a 100-point scale. There were totally n = 13 records combining his ten homework scores and three exam grades. The model built by Tristan was:

Y = 10 + 7 X

with the standard error of estimated slope equal to

SE = SE [b] = 2.5

1. At the significance level, = 0.01, is there sufficient evidence that X positively impacts Y ?

• Evaluate Test Statistic
• Specify critical value (or values) for this procedure
• State the Rejection Rule
• Formulate your decision

2. Estimate the population slope (= ) with confidence level, C = 0.99

• Specify critical value (or values) for this procedure
• Evaluate UCL and LCL