B. y = 3x - 2
Step-by-step explanation:
A linear regression line is in form of Y=A+Bx where B is the slope of the line and A is the intercept when x=0
Form a table as shown
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 70 360 140 984 ------sum
From the table;
n=7 ---number of data points
∑x = 28
∑y=70
∑xy =360
∑x² =140
∑y² = 984
Applying equations for A and B
A=(∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
A=(70)(140) - (28)(360) / 7(140)-(28²)
A=9800 - 10080 / 980-784
A= -280 /196
A= -1.43
B= n(∑xy)-(∑x)(∑y) / n(∑x²)-(∑x)²
B=7(360)-(28)(70) / 7(140) - (28²)
B=2520-1960 /980-784
B=560/196
B=2.86
The equation will be;
Y=A+Bx
Y=-1.43+2.86x
Y=2.86x-1.43
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Regression line : brainly.com/question/12280902
Keywords : equations, regression line, data, table
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