DSC 5100 Quantitative Methods - Module 4

Homework Assignment #4

Instructor: Dr. Zhixin (Richard) Kang

UNC Pembroke

Problem 1. The following is the estimation results for a multiple linear regression model:

SUMMARY OUTPUT

Regression Statistics

R-Square0.612

Standard Error of Regression (S)793.253

Observations41

CoeffStdErrort-Stat

Intercept1097.000326.0003.370

X₁23.3877.393

X₂0.9090.319

Questions:

1.Use the fitted model to make a prediction for Y when X₁ = 0.17 and X₂ = 0.88 (5 points).

2.Calculate the t-stat for the slope(5 points).

3.Calculate the 95% confidence interval for the slope(10 points).

4.Are these two slopes statistically significant at 5% significance level (10 points)?