A statistics student examined whether a relationship exists between city miles per gallon (mpg) and highway miles per gallon (mpg) for cars. The miles per gallon of a car describe the typical number of miles the car can drive on one gallon of gas. Using a random sample of 50 cars, the student obtained the least-squares regression equation: predicted highway mpg = 1.14.(city mpg) +5.8
Which statement below accurately describes the meaning of the number 1.14 in the regression equation?
a. If a vehicle's city mpg increases by 1 mile per gallon, its predicted highway mpg will decrease by 1.14 miles per gallon.
b. If a vehicle's city mpg increases by 1.14 mile per gallon, its predicted highway mpg will increase by 5.8 miles per gallon.
c. If a vehicle's city mpg increases by 1 mile per gallon, its predicted highway miles per gallon will increase by 1.14 miles per gallon.
d. If a vehicle's city mpg increases by 1.14 mile per gallon, its predicted highway mpg will increase by 1 mile per gallon.

(C)If a vehicle's city mpg increases by 1 mile per gallon, its predicted highway miles per gallon will increase by 1.14 miles per gallon.

Step-by-step explanation:

Given the regression equation for predicted highway miles per gallon

The slope of the function =1.14

Therefore, when the vehicle's city miles per gallon increases by 1 mile per gallon, the predicted highway miles per gallon increase by 1.14 miles per gallon.

The correct option is C.

i think it would be 43 movies that would have to be watched.

step-by-step explanation:

think about it. for the second plan, every month is 8 dollars. 8 x 12= 96. so thats the number for the second plan. now for the first plan, its annual meaning you have to pay 10 dollars every year. so now you have to get an equivalent amount of 86 since 96-10=86. 86 divided by 2 since every movie costs 2$ then you would have to watch 43 movies a year to get the same as the second plan. i really hoped this . have a wonderful day as well!

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true