Answer:
rom the relation for linear regression formula, Y = b·X + a, we have ;
For car 1
ΣXY = 102780
(ΣX)² = 36
ΣX = 6
ΣY = 52390
ΣX² = 14
N = 3
b = -1000
a = 19463
Y = -1000×X + 19463
For Car 2
ΣXY = 102539.8
(ΣX)² = 36
ΣX = 6
ΣY = 52346.6
ΣX² = 14
N = 3 .
b = -1076.7
a = 19602
Y = -1076.7×X + 19602
Step-by-step explanation:
part B ^
Since EF=FG, you can set 6x - 10 = to 3x + 11
![6x -10 = 3x +11](https://tex.z-dn.net/?f=6x%20-10%20%3D%203x%20%2B11)
Then add like terms
![6x - 3x = 11+10](https://tex.z-dn.net/?f=6x%20-%203x%20%3D%2011%2B10)
so,
![3x = 21](https://tex.z-dn.net/?f=3x%20%3D%2021)
Now you can divide by 3 to get
![x = 7](https://tex.z-dn.net/?f=x%20%3D%207)
:)
then put it back into
![6x - 10](https://tex.z-dn.net/?f=6x%20-%2010%20)
![6(7) - 10 = EF](https://tex.z-dn.net/?f=6%287%29%20-%2010%20%3D%20EF)
so,
<span>In math notation, we've done this: z = (X - μ) / σ = (940 - 850) / 100 = 0.90
where z is the z-score
X is Vivian's score (940)
µ is the mean (850)
σ is the standard deviation (100)
As you may know, in a normal distribution it's expected that about 68% of all observations will fall within 1 standard deviation of the mean, 95% will fall within 2 standard deviations, and 99% will fall within 3 standard deviations.
940 lie before the first standard deviation, in which 16.5% is above it
since 940 is 0.9 from the mean and 0.1 from the first standard deviation
so above it is 17.5 % = 0.175 or about 0.18 </span>
Slope is 5
Y intersect is 0
Y= 5x