Use the following table of values to find the equation of the trend line for the scatter plot.
x 1 2 3 4 5 6 7 8
y 1.5/2.6/2.2/3 2.9/4.6/ 4.2/5
A.y = –2x + 1
B.y = 0.5x + 1
C.y = x + 2
D.y = 0.5x + 3
I think it is B...? I am not positive
5 answers
sorry for the way it posted it was more lined up when I typed it
it should be 1-1.5
2-2.6
and so on 3-2.2
4-3
5-2.9
2-2.6
and so on 3-2.2
4-3
5-2.9
When x is 1, y is 1.5
When x is 2, y is 2.6
When x is 3, y is 2.2
When x is 4, y is 3
When x is 5, y is 2.9
When x is 6, y is 4.6
When x is 7, y is 4.2
When x is 8, y is 5
The numbers aren't adding up :/
Is what I stated above, correct?
A is clearly wrong:
ex. y=-2x +1
1.5 = -2(1)+1
1.5 not= 1
B is also wrong:
ex. y=0.5x +1
1.5 = 0.5(1)+1
1.5=1.5
ex. y=0.5x+1
5=0.5(8)+1
5=4+1
5=5
ex. y=0.5x+1
2.2 = 0.5(3)+1
2.2 not=2.5
It does not work for all set values.
If you do the other 2 you'll see they don't work for all the values as well.
c. y = x + 2
1.5=1+2
1.5 not = 3
d. y = 0.5x + 3
1.5=0.5(1.5)+3
1.5 not = 3.75
When x is 2, y is 2.6
When x is 3, y is 2.2
When x is 4, y is 3
When x is 5, y is 2.9
When x is 6, y is 4.6
When x is 7, y is 4.2
When x is 8, y is 5
The numbers aren't adding up :/
Is what I stated above, correct?
A is clearly wrong:
ex. y=-2x +1
1.5 = -2(1)+1
1.5 not= 1
B is also wrong:
ex. y=0.5x +1
1.5 = 0.5(1)+1
1.5=1.5
ex. y=0.5x+1
5=0.5(8)+1
5=4+1
5=5
ex. y=0.5x+1
2.2 = 0.5(3)+1
2.2 not=2.5
It does not work for all set values.
If you do the other 2 you'll see they don't work for all the values as well.
c. y = x + 2
1.5=1+2
1.5 not = 3
d. y = 0.5x + 3
1.5=0.5(1.5)+3
1.5 not = 3.75
I know - I went with B and it was right...it only worked for a few of the values....strange
What exactly is a trend line? I'm thinking it would be B because they're not asking for the exact line. In fact, if it's a scatter plot there wouldn't be a perfect straight line. I think you're right. It's probably B.
1 answer