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Can the cost of flying a commercial airliner be predicted usingregression analysis? If so, what variables are related to thiscost? A few of many variables that can potentially contribute aretype of plane, distance, number of passengers, amount ofluggage/freight, weather condition, direction of destination, oreven pilot skill. Suppose a study is conducted using only Boeing737s traveling 800 km on comparable routes during the same seasonof the year. Can the number of passengers predict the cost offlying such routes? It seems logical that more passengers result inmore mass and more baggage, which could, in turn, result inincreased fuel consumption and other costs. Suppose the datadisplayed below are the cost and associated number of passengersfor thirty-six 800-km commercial airline flights using Boeing 737sduring the same season of the year. We will use these data todevelop a regression model to predict cost by number ofpassengers.

The data contains the data on the cost and number of passengers of36 observations.

Cost	Passengers
4.24	88
3.39	95
2.6	88
2.27	66
3.28	87
3.67	88
3.09	81
1.71	60
3.48	86
4.22	93
3.24	80
4.9	96
0.77	62
1.49	61
2.36	69
3.21	76
2.59	74
3.06	86
2.71	80
4.8	98
3.42	91
2.08	59
1.62	71
3.33	84
3.63	89
3.67	92
2.43	75
4.88	92
3.07	85
2.35	74
1.72	73
4.12	90
3.67	73
2.94	73
2.3	77
1.67	69

(f) Using an αα of 5%, this data indicates that  ? Costof flying a commercial flight using Boeing 737s the number ofpassengers   ? can cannot  be expressed asa linear function of  ? Cost of flying a commercialflight using Boeing 737s the number of passengers .

(g) Find a 95% confidence interval for the slope term of the model,β1β1.

Lower Bound =

(use three decimals in your answer)

Upper Bound =

(use three decimals in your answer)

(i) With 95% confidence, find the average cost of flying acommercial flight using Boeing 737s when the number of passengersis 70.

Lower Bound =

(use three decimals in your answer)

Upper Bound =

(use three decimals in your answer)