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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Answer: 154.4 Fahrenheit
Step-by-step explanation: 68°C = ( 68× 9 / 5 + 32 ) = 154.4°F
Answer:
There's going to be 2 solutions
Step-by-step explanation:
Given the points:
(x, y) ==> (-2, 4)
slope, m = 3
To write the slope intercept form, use the form below:
y = mx + b
Where m = slope and b = y-intercept.
Now, substitute -2 for x, 4 for y, and m for 3 in the equation above to solve for b.
We have:
y = mx + b
4 = 3(-2) + b
4 = -6 + b
Add 6 to both sides:
4 + 6 = -6 + 6 + b
10 = b
b = 10
Therefore, the slope intercept form of the equation is:
y = 3x + 10
ANSWER:
y = 3x + 10
