8

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 and based on his self-assessment. There were totally n = 28 weekly collected records. The model built by Tristan was:

Y = 10 + 7 X

with the standard error of estimated slope equal to

SE = SE [b] = 2.8

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 = 0.95

Specify critical value (or values) for this procedure

Evaluate UCL and LCL