Question

Need help please with this question. Thank you:)

The best fit line for the relationship between two variables has an equation of yhat =
2x - 4. An individual in the dataset has a score of 10 on the x-variable and a score of
14 on the y-variable. What is the residual for this individual?
x O 4
2
-4
-2

Answer 1

`\hat y = 2*10 -4= 16`

And the real value for this case is y=14. The residual is defined as:

`e= y -\hat y`

Replacing we got:

`e = 14 -16 = -2`

And the best answer would be:

-2

Explanation:

For this case we know that the best fit line for the relationship between x and y is given by:

`\hat y = 2x-4`

And we know that an individual in the dataset has a score of 10 on the x-variable and a score of 14 on the y-variable. So then we can find the estimated value like this:

`\hat y = 2*10 -4= 16`

And the real value for this case is y=14. The residual is defined as:

`e= y -\hat y`

Replacing we got:

`e = 14 -16 = -2`

And the best answer would be:

-2