Respuesta :
Answer:
C. Driving test scores (y-axis) will be 9 [individual who scored 3 on drink consumption and 3 [individual who scored 5 on drink consumption].
Correct as we can see:
[tex] y(3) =-3(3) +18 = -9 +18 =9[/tex]
[tex] y(5) =-3(5) +18 = -15 +18 =3[/tex]
Step-by-step explanation:
Let's define some notation:
y= represent the driving test scores
x= represent the number of drinks consumed
We know this info given: "What will be their respective scores on the driving test if the intercept is 18 and the slope -3?" So then we can create the following linear model:
[tex] y = -3x +18[/tex]
And now we have two values for x we can replace and see what we got:
[tex] y(3) =-3(3) +18 = -9 +18 =9[/tex]
[tex] y(5) =-3(5) +18 = -15 +18 =3[/tex]
And if we analyze one by one the options we got this:
A. Driving test scores (y-axis) will be 27 [individual who scored 3 on drink consumption and 33 [individual who scored 5 on drink consumption].
False.
[tex] y(3) =-3(3) +18 = -9 +18 =9[/tex]
[tex] y(5) =-3(5) +18 = -15 +18 =3[/tex]
B. It is not possible to predict from negative relationships.
False, we have the linear model given and we can find the predicted values.
C. Driving test scores (y-axis) will be 9 [individual who scored 3 on drink consumption and 3 [individual who scored 5 on drink consumption].
Correct as we can see before:
[tex] y(3) =-3(3) +18 = -9 +18 =9[/tex]
[tex] y(5) =-3(5) +18 = -15 +18 =3[/tex]
D. Driving test scores (y-axis) will be 51 and 87 [individual who scored 5 on drink consumption].
False.
