Automobile fuel efficiency is often measured in miles that the car can be driven per gallon of fuel (mpg). Heavier cars tend to have lower fuel efficiencies (lower mpg ratings). Which variable (weight or fuel efficiency) is most naturally considered the explanatory (predictor) variable in this context? A. Weight B. Fuel efficiency

Answers

Answer 1
Answer:

Answer:

Correct option: A. Weight.

Step-by-step explanation:

In regression analysis there are two kinds of variables: Explanatory and Response variable.

The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.

The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.

In this case it is provided that heavier cars have lower fuel efficiencies.

It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.

The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.

Thus, the explanatory variable is the weight of the car.

Answer 2
Answer:

Final answer:

The explanatory variable in this context is the weight of the car, as it is used to predict or explain the car's fuel efficiency.

Explanation:

In this context, the most naturally considered explanatory or predictor variable would be the weight of the car. This term is used to denote the variable that is used to predict or explain changes or variations in another variable. In this case, the weight of the car is used to predict or explain the fuel efficiency (measured in miles per gallon). For instance, if the weight of a car increases, we would expect the fuel efficiency to decrease (lower mpg) because heavier cars often require more energy to move, which in turn results in higher fuel consumption.

Learn more about Explanatory Variable here:

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What is the opposite of the three rational numbers.
|-13| =
|14| =
- |42| =

Answers

Answer:

|-13| = 13, so the opposite is -13

|14| = 14, the opposite is -14

-|42| = -42, the opposite is 42

How many triangles can you count?

Answers

Answer:

the answer is 12

Step-by-step explanation:

some of them is not triangles tho

Answer:

6 triangles

Step-by-step explanation:

A paddle boat rents for $10 plus $8 per hour. How much does it cost to rent a paddle boat for h hours? Write an expression and show your work.

Answers

10 + 8h

10 would be the initial cost and would be unchangeable, leaving it as a constant. The $8 on the other hand increases based on the number of hours, making it the constant with the variable next to it.

Hope this helps! 

Find x. Round to the nearest tenth if needed.

Answers

Answer:

x = 16

Step-by-step explanation:

Use that the addition of all internal angles of a triangle must add up to 180, and the fact that the two given triangles are similar:

51 + 65 + 4 x = 180

combine and solve for "x"

116 + 4 x = 180

4 x = 180 - 116

4 x = 64

x = 64 / 4

x = 16

Answer:

x = 16

Step-by-step explanation:

A triangle is 180 degrees. Since two of the angles are congruent to each other, the third angle must be congruent as well. This means that the third measure for both triangles is 4x. Knowing all of this, we can solve for x:

65 + 51 + 4x = 180

116 + 4x = 180

4x = 64

x = 16

Can you show me how to solve this problem: a. ) 16=4 to the 3rd power x -7

Answers

We assume you mean
\ \ \display{16=4^(3x-7)}
This is solved by writing 16 as a power of 4 and equating exponents.
\ 4^(2)=4^(3x-7)
  2 = 3x - 7 . . . . . equate exponents
  9 = 3x . . . . . add 7
  3 = x . . . . . divide by 3

The solution is x = 3.

Which shows the expression below simplified?

0.42 + (3.5 × 10-2)

Answers

Answer: 33.42

Step-by-step explanation: 0.42 + (35 - 2) —> 0.42 + 33 = 33.42

Answer:

Step-by-step explanation:

50