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Consider the following scenario for Questions 6 through 9: The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles.  If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles.  An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90  What is the IV? What is the DV?  If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs?  What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?

Consider the following scenario for Questions 6 through 9: The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles.  If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles.  An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds: Y = $50 + .030X with a r2 of .90  What is the IV? What is the DV?  If the mileage increases by one mile, what is the predicted increase in maintenance costs? If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs?  What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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Consider the following scenario for Questions 6 through 9:

The City of Bellmore’s police chief believes that maintenance costs on high-mileage police vehicles are much higher than those costs for low-mileage vehicles.  If high-mileage vehicles are costing too much, it may be more economical to purchase more vehicles.  An analyst in the department regresses yearly maintenance costs (Y) for a sample of 200 police vehicles on each vehicle’s total mileage for the year (X). The regression equation finds:

Y = $50 + .030X with a r2 of .90

  1.  What is the IV? What is the DV?
  2.  If the mileage increases by one mile, what is the predicted increase in maintenance costs?
  3. If a vehicle’s mileage for the year is 50,000, what is its predicted maintenance costs?
  4.  What does an r2 of .90 tell us? Is this a strong or weak correlation? How can you tell?
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