The regression equation for the data given is y= -8.57 -2.31x
Step-by-step explanation:
The first step is to form a table as shown below;
x           y          xy         x²         y²
1            4           4          1          16
2            1            2          4         1
3            5          15         9         25
4             10         40        16       100
5             16         80        25      256
6              19        114       36        361
7               15       105       49       225
28             60       360      140     984   ------sum
A linear regression equation is in the form of y=A+Bx
where ;
x=independent variable
y=dependent variable
n=sample size/number of data points
A and B are constants that describe the y-intercept and the slope of the line
Calculating the constants;
A=(∑y)(∑x²) - (∑x)(∑xy) / n(∑x²) - (∑x)²
A=(60)(140) - (28)(360)  / 7(140)-(28)²
A=8400 - 10080 /980-784
A= -1680/196
A= - 8.57
B= n(∑xy) - (∑x) (∑y) / n(∑x²) - (∑x)²
B= 7(360)-(28)(60) / 7(60) - (28)²
B=2520 - 1680 /420-784
B=840/-364
B= -2.31
y=A+Bx
y= -8.57 -2.31x
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Regression equation :brainly.com/question/12280902
Keywords : equations, regression line, data
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Y+3=2(x-5)
y+3=2x-10
y+3+10=2x
y+13=2x
2x-y=13
        
             
        
        
        
Answer:
d) 3x+-2y
Step-by-step explanation:
combine like terms of x and y
11x-8x=3x
10x-12x=-2y
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Answer:
y=-9/2x-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-8)/(-2-(-4))
m=-9/(-2+4)
m=-9/2
y-y1=m(x-x1)
y-8=-9/2(x-(-4))
y-8=-9/2(x+4)
y=-9/2x-36/2+8
y=-9/2x-18+8
y=-9/2x-10