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:
8 is 4% of 200, 1% of 200 is 2
The other size is 10 too and there will be enough spaces with 1 foot left!!!! :)
Answer:
x = 4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2(8−12x)+8x=−25x+52
(2)(8)+(2)(−12x)+8x=−25x+52(Distribute)
16+−24x+8x=−25x+52
(−24x+8x)+(16)=−25x+52(Combine Like Terms)
−16x+16=−25x+52
−16x+16=−25x+52
Step 2: Add 25x to both sides.
−16x+16+25x=−25x+52+25x
9x+16=52
Step 3: Subtract 16 from both sides.
9x+16−16=52−16
9x=36
Step 4: Divide both sides by 9.
9x/9 = 36/9
x = 4
answer one would be 18 square root of 5
and the second would be 4 square root of 5
Step-by-step explanation:
