11/3, 25/7, 18/5. Multiply to find common denominators.
80/60 = (80 + 2x)/(60 + 27)
80/60 = (80 + 2x)/87
4/3 = (80 + 2x)/87
3 . (80 + 2x) = 4 . 87
240 + 6x = 348
6x = 348 - 240
6x = 108
x = 18
The linear regression equation which models the data, obtained using technology such as a linear regression calculator is :
- <em>x</em><em> </em><em>=</em><em> </em><em>mileage</em><em> </em><em>;</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>price</em>
The predicted or approximate values obtained using the model are given below :
A.)<em> </em>
<u>Approximate</u><u> </u><u>mileage</u><u> </u><u>for</u><u> </u><u>an</u><u> </u><u>automobile</u><u> </u><u>that costs</u><u> </u><u>$</u><u>15500</u><u> </u><u>can</u><u> </u><u>be</u><u> </u><u>calculated</u><u> </u><u>thus</u><u> </u><u>:</u>
- <em>y</em><em> </em><em>=</em><em> </em><em>15500</em>
Substituting <em>y</em><em> </em><em>=</em><em> </em><em>15500</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>:</em>
15500 = -0.18x + 19716.81
0.18x = 19716.81 - 15500
0.18x = 4216.81
x = 4216.81 / 0.18
x = 23,426.722
Hence, mileage is about 23427 miles.
B.)
<u>Approximate</u><u> </u><u>the</u><u> </u><u>predicted</u><u> </u><u>price</u><u> </u><u>of</u><u> </u><u>an</u><u> </u><u>automobile</u><u> </u><u>with</u><u> </u><u>6000</u><u> </u><u>miles</u><u> </u><u>:</u>
- <em>x</em><em> </em><em>=</em><em> </em><em>6000</em><em> </em><em>miles</em><em> </em>
Substituting <em>x</em><em> </em><em>=</em><em> </em><em>6000</em><em> </em><em>into</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>:</em>
y = -0.18x + 19716.81
y = -0.18(6000) + 19716.81
y = 18636.81
Hence, the price of the car would be about $18637.
Learn more :brainly.com/question/18405415
The answer is (-2,-10) you just need to plug them in.
