Answered: 5.1 Determine the equation of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

5.1 Determine the equation of the relationship between the predictor variable (x) and the response variable (y).

5.2 What does the simple linear regression equation obtained in question 5.1 indicates on every 1 km/hr increase in speed?

5.3 Using the simple linear regression equation obtained in question 5.1, estimate the total fuel expenditure of a randomly selected driver of one of the newly launched Volvo trucks who drove at an average speed of 100 km/hr during a 900 km haulage.

5.4 Determine the Pearson Correlation Coefficient.

Transcribed Image Text:Use the information provided below to answer questions 11 to 15. X3108.88 The operations manager of a logistics company wants to unpack how different driving behaviours affect fuel economy. He suspects that by establishing the mathematical relationship between average speed and fuel economy, efficient techniques can be adopted to save fuel and money. Accordingly, a measuring device has been installed in each of the company's brand new long-haul trucks, and the average speed (km/h) and fuel expenditure (R/km) of each driver are constantly monitored. The data of 10 randomly selected long-haul drivers of newly launched Volvo trucks during August 2022 are captured in the Table 2 below. Driver # Average speed, km/h Fuel expenditure, R/km Table 2: Average speed and fuel expenditure of 10 truck drivers of the logistic company 1 2 3 4 5 82 68 95 74 110 5.80 6.60 8.11 7.23 7.45 6 7 8 68 56 107 5.20 6.90 9 83 9.30 8.43 10 62 6.12

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