Question

Which of the following equations best represents the regression line for the data given in the table above?

Answer 1

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

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