Regression analysis
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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.
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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:
• Reject the null hypothesis, if the calculated value of t is greater than the critical value of t at 0.05 significance level.
• 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 ...
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