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:
16(1/4x-1/2)>24-2x
Use the distributive property on the left side:
4x -8 > 24-2x
Add 2x to each side:
6x -8 > 24
Add 8 to each side:
6x >32
Divide both sides by 6:
x > 32/6 reduces to 16/3
If this is helpful plz mark brainliest
2w+2(10)=30
multioly the 2 and 10
2w+20=30
subtract 20
2w=10
divide by 2
w=5
plz rate as brainliest answer
The answer would be C because the first figure is half of every number on the second figure making it similar it’s not congruent because there not the same size
Answer:
7. C
8. B
9. B
Step-by-step explanation:
7: A proper fraction is a fraction where the numerator is greater than the denominator. Choice <em>a</em> is a decimal, not a fraction. Choice <em>b</em> is a fraction, but its numerator is equal to its denominator. Choice <em>d</em> is also a fraction, but its denominator is greater than its numerator. Choice <em>c</em> is correct, because it is a fraction where its numerator is greater than its denominator.
8. A decimal fraction has denominators like 10, 100, 1000, as so on. It is a fraction.
9. A fraction is equal to the numerator divided by the denominator. When the numerator is equal to the denominator, the value of the numerator divided by the denominator is 1.
