Answer:
K=2/5
Step-by-step explanation:
So, I’m assuming that by constant of proportionality you mean slope of the line. To do that, you just figure out how y changes with x. The easiest way to do this is rise over run (y over x). If you look at the graph, there is a point that pass through (0,0) and another that passes through (5,2) so if you count how many spaces we moved up then how many spaces we moved right, you will get the slope of the line. Spaces moved up are 2-0=2 and spaced moved right are 5-0=5. Use rise over run which is going to be 2/5. So, K=2/5.
The least-square regression line has a slope of:
m=(nΣxy-ΣyΣx)/(nΣx²-ΣxΣx)
and a y-intercept of:
b=(Σy-mΣx)/n
In this case: n=7, Σxy=4899, Σy=391, Σx=85, Σx²=1153 so
m=(7(4899)-391*85)/(7(1153)-85*85))=1058/846
b=(391*846-85*1058)/(7*846)=34408/846
So the line of best fit is:
y=(1058x+34408)/846 and if we approximated this as your answers see to have done....
y=1.25x+40.67
Answer:
A
Step-by-step explanation:
equation is of the form f(x) - a which implies a translation downwards of a units
M/2 - 5 = 3
M-2 /5= 6
M=6+2 /5
So the answer is the first equation
Using distributive property and simplifying 18(26) we get 468
Step-by-step explanation:
We need to use distributive property and simplify: 18(26)
The distributive property stays that: a(b+c)=ab+ac
We can write 26 as 20+6
18(26)= 18(20+6)
Solving 18(20+6) using distributive property
18(20+6) =18*20+18*6
= 360+108
= 468
So, using distributive property and simplifying 18(26) we get 468
Keywords: Distributive Property
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