Question

We have a negative relationship between number of drinks consumed and number of marks in a driving test. One individual scores 3 on number of drinks consumed, another individual scores 5 on number of drinks consumed. What will be their respective scores on the driving test if the intercept is 18 and the slope -3?

Answer 1

Driver 1 score: 9

Driver 2 score: 3

Explanation:

We are given the following in the question:

The number of marks scored on a driving test are y(x) is a dependent variable and the number of drinks taken by the driver is the independent variable(x).

Slope, m = -3

y-intercept,c = 18

Then, we can write the regression equation as:

`y(x) = mx + c\\y(x) = -3x + 18`

Driver 1 consumed 3 drinks.

We put x = 3 in the regression equation.

Thus, the predicted driving 1 score for driver 1 is

`y(3) - -3(3) + 18\\y(3) = 9`

Driver 1 predicted score is 9.

Driver 2 consumed 5 drinks.

We put x = 5 in the regression equation.

Thus, the predicted driving 2 score for driver 2 is

`y(5) - -3(5) + 18\\y(5) = 3`

Driver 2 predicted score is 3.