Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine (y) and the number of times the oil is changed (x). When the data is shown on a scatter plot, the equation for the line of best fit is y = 0.4125x + 0.1576. What is the relationship between 0.4125 and the life of the car's engine?

Question

Regan Poole

Mathematics

30 June, 06:46

Up and Running Auto Shop keeps track of their regular customers' data to see if there is a relationship between the life of a car's engine (y) and the number of times the oil is changed (x). When the data is shown on a scatter plot, the equation for the line of best fit is y = 0.4125x + 0.1576. What is the relationship between 0.4125 and the life of the car's engine?

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Answers (2)

Know the Answer?

Rylie Mercer · Answer 1

A) 0.4125 shows how much the longevity of the engine increases with each oil change.

B) 0.4125 shows the expected longevity with no all changes.

C) 0.4125 shows the expected longevity for all engines, with or without oil changes.

D) 0.4125 is the expected decrease in longevity for each year without an oil change.

Step-by-step explanation: THE answer IS A!

(i just took the test)

Zoe Bowen · Answer 2

Strong and Positive Relation

Step-by-step explanation:

Here, when we plot the graph of y = 0.4125x + 0.1576

Then we see that the graph has a positive correlation as we increase the value of x, the value of y is also increasing. So, Life of Car's Engine and Number of Times the Oil is Changed has a Positive relation.

And if our scatter plot is horizontal, vertical or we unable to draw the line of best fit then it has no or little correlation but here we see that line is not lie in either case. So, the relationship is strong but not very strong.