c) Calculate first differences, second differences, and ratios. Which model appears most suitable for the data: linear, quadratic, or exponential? Justify your answer. Time (h) 0.00 0.25 f) 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 Fuel Remaining (gal) First Differences 19.5 18.7 17.9 17.1 16.3 15.4 14.6 13.8 13.0 12.2 10.6 9.8 Second Differences d) What is a reasonable estimate for the rate of change of fuel remaining in the tank? Include suitable units for this rate of change. Ratios e) Perform linear regression to find the coefficient of determination and the equation of the line of best fit. Determine the length of time that the aircraft can be flown on one tank of fuel.
c) Calculate first differences, second differences, and ratios. Which model appears most suitable for the data: linear, quadratic, or exponential? Justify your answer. Time (h) 0.00 0.25 f) 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00 Fuel Remaining (gal) First Differences 19.5 18.7 17.9 17.1 16.3 15.4 14.6 13.8 13.0 12.2 10.6 9.8 Second Differences d) What is a reasonable estimate for the rate of change of fuel remaining in the tank? Include suitable units for this rate of change. Ratios e) Perform linear regression to find the coefficient of determination and the equation of the line of best fit. Determine the length of time that the aircraft can be flown on one tank of fuel.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter3: Linear And Nonlinear Functions
Section: Chapter Questions
Problem 5SGR
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Transcribed Image Text:c) Calculate first differences, second differences, and ratios. Which model appears most suitable for the
data: linear, quadratic, or exponential? Justify your answer.
Time (h)
0,00
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.00
2.25
2.50
2.75
3.00
Fuel Remaining (gal) First Differences
19.5
18.7
17.9
17.1
16.3
15.4
14.6
13.8
13.0
12.2
11.4
10,6
9.8
Second
Differences
Ratios
d) What is a reasonable estimate for the rate of change of fuel remaining in the tank? Include suitable units
for this rate of change.
e) Perform linear regression to find the coefficient of determination and the equation of the line of best fit.
f) Determine the length of time that the aircraft can be flown on one tank of fuel.
3
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