# Regression analysis

I need all of the formulas explained as well as all of the answers. Please see the attached file.

Â© BrainMass Inc. brainmass.com March 4, 2021, 8:35 pm ad1c9bdddfhttps://brainmass.com/statistics/regression-analysis/regression-analysis-for-major-airline-companies-179354

#### Solution Preview

Please see the attachments.

Calculation are done in Excel.

1

a. Formulate the hypotheses if the purpose is to test for a significant difference

between the mean times for the two airlines.

The null hypothesis tested

H0: There is no significant difference in the mean times for the two airlines.

H1: There is significant difference in the mean times for the two airlines.

b. Compute the value of the test statistic.

The test statistic used is given by The test Statistic used is Independent sample test . The test statistic is given by

where

Rejection criteria:

â€¢ Reject the null hypothesis, if the calculated value of t is greater than the critical value of t at 0.05 significance level.

â€¢ Reject the null hypothesis if the p value is less than the significance level (0.05)

Details

t Test for Differences in Two Means

Data

Hypothesized Difference 0

Level of Significance 0.05

Population 1 Sample : Delta

Sample Size 22

Sample Mean 2.5

Sample Standard Deviation 0.8

Population 2 Sample :North West

Sample Size 20

Sample Mean 2.1

Sample Standard Deviation 1.1

Intermediate Calculations

Population 1 Sample Degrees of Freedom 21

Population 2 Sample Degrees of Freedom 19

Total Degrees of Freedom 40

Pooled Variance 0.91075

Difference in Sample Means 0.4

t Test Statistic 1.356632

Two-Tail Test

Lower Critical Value -2.02108

Upper Critical Value 2.021075

p-Value 0.182506

Do not reject the null hypothesis

c. What is your conclusion by the P value method at 5% level of significance?

Fails to reject the null hypothesis as the p value 0.182506 is greater than the significance level (0.05). Thus the sample does not provide enough evidence to support ...

#### Solution Summary

Step by step method for regression analysis is discussed here. Regression coefficients, coefficient of determination, scatter diagram and significance of regression model are explained in the solution.