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2 years ago

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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?

1 answer:

cricket20 [7]2 years ago

6 0

Answer:

Driver 1 score: 9

Driver 2 score: 3

Step-by-step 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.

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Step-by-step explanation:

Data given and notation

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Alternative hypothesis: $\mu \neq 21$

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