Question
I am conducting research on the relationship between the number of flights per quarter versus the number of runway incursions. The data collected and organized
I am conducting research on the relationship between the number of flights per quarter versus the number of runway incursions. The data collected and organized is broken into quarters within each fiscal year. My proposed hypotheses are:
Ha: There is statistical significance between the number of runway incursions between FY 2018 and FY 2021 and the number of annual flights.
Ho: There is no statistical significance between the number of runway incursions between FY 2018 and FY 2021 and the number of annual flights.
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The results I got from running a simple linear regression with a significance level of 0.05 set are as follows:
Simple linear regression results:
Dependent Variable: Quarters Q1-Q4 Independent Variable: Flights FY 18 - 21 Quarters Q1-Q4 = 286.25992 + 0.000068146655 Flights FY 18 - 21 Sample size: 16 R (correlation coefficient) = 0.51227147 R-sq = 0.26242206 Estimate of error standard deviation: 75.070936
Parameter estimates:
Parameter | Estimate | Std. Err. | DF | 95% L. Limit | 95% U. Limit |
---|---|---|---|---|---|
Intercept | 286.25992 | 53.390023 | 14 | 171.74971 | 400.77013 |
Slope | 0.000068146655 | 0.000030534043 | 14 | 0.0000026576453 | 0.00013363566 |
Analysis of variance table for regression model:
Source | DF | SS | MS | F-stat | P-value |
---|---|---|---|---|---|
Model | 1 | 28071.402 | 28071.402 | 4.9810448 | 0.0425 |
Error | 14 | 78899.035 | 5635.6454 | ||
Total | 15 | 106970.44 |
Would you make any recommendations on organizing the data and does the outcome make sense? The resultant R (correlation coefficient) = 0.5122 with a p-value of 0.0425 is less than 0.05 which means that we reject the null hypothesisthat there is no statistical significance between the number of runway incursions between FY 2018 and FY 2021 and the number of annual flights.
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