A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output. Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?

ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x

  Choice B

Explanation:

Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.

You can think of it like

price = constant + (mileage coefficient)*(mileage)

The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.