Question

Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg)

Answer 1

Answer is explained in the explanation section below.

Step-by-step explanation:

Solution:

Note: This question is incomplete and lacks necessary data to solve. But I have found the similar question on the internet. So, I will be using the data from that question to solve this question for the sack of concept and understanding.

Data Given:

x = 27 , 44 , 32 , 47, 23 , 40, 34, 52

y = 30, 19, 24, 13 , 29, 19, 21, 14

It is given that,

∑x = 299

∑y = 167

∑
`x^(2)` = 11887

∑
`y^(2)` = 3773

We are asked to verify the above values manually in this question.

So,

1. ∑x = 299

Let's verify it:

∑x = 27 + 44 + 32 + 47 + 23 + 40 + 34 + 52

∑x = 299

Yes, it is equal to the given value. Hence, verified.

2. ∑y = 167

Let's verify it:

∑y = 30 + 19 + 24 + 13 + 29 + 19 + 21 + 14

∑y = 169

No, it is not equal to the given value.

3. ∑
`x^(2)` = 11887

Let's verify it:

For this to find, first we need to square all the value of x individually and then add them together to verify.

∑
`x^(2)` =
`27^(2)` +
`44^(2)` +
`32^(2)` +
`47^(2)` +
`23^(2)` +
`40^(2)` +
`34^(2)` +
`52^(2)`

∑
`x^(2)` = 11,887

Yes, it is equal to the given value. Hence, verified.

4. ∑
`y^(2)` = 3773

Let's verify it:

Again, for this we need to find the squares of all the y values and then add them together to verify it.

∑
`y^(2)` =
`30^(2)` +
`19^(2)` +
`24^(2)` +
`13^(2)` +
`29^(2)` +
`19^(2)` +
`21^(2)` +
`14^(2)`

∑
`y^(2)` = 3,845

No, it is not equal to the given value.