The management of a regional bus line thought the companys c

The management of a regional bus line thought the company’s cost of gas might be correlated with its passenger/mile ratio. The data and a correlation matrix follows. Comment.
Year Average Wholesale Cost of Gas Passengers/Miles
1 56.5 8.37
2 59.4 8.93
3 63.0 9.15
4 65.6 9.79
5 89.0 11.20
Year Price Mile
Year (r) 1,00000 0.87016 0.951227
p-value 0.00000 0.05510 0.01280
Price (r) 0.877016 1,00000 0.97309
p-value 0.05510 0.00000 0.00530
Mile(r) 0.95127 0.97309 1.00000
p-value 0.01280 0.00530 0.00000

How do I comment or solve this problem? Please!

Solution

pvalue

The pvalue of year and mile and the pvalue of price and mile are very low. They are less than 5%.Hence we conclude that correlation between year and mile and the correlation between price and mile are significant.

There is significant positive correlation between these variables.

year price mile
year 1 0.87 0.95
price 0.87 1 0.97
mile 0.95 0.97 1

pvalue

year price mile
year 0 0.055 0.0128
price 0.055 0 0.0005
mile 0.0128 0.005 0
The management of a regional bus line thought the company’s cost of gas might be correlated with its passenger/mile ratio. The data and a correlation matrix fol

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