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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3 ( x ) + 55 = 85
Answer To Solving Y:
Let's solve your equation step-by-step.
3x + 55 = 85
Step 1: Subtract 55 from both sides.
3x + 55 − 55 = 85 − 55
3x = 30
Step 2: Divide both sides by 3.
3x / 3 = 30 / 3
x = 10
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Answer To The Angle:
( 3 ) ( 10 ) + 55 = 85
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
2 ( y ) - 5 = 95
Answer:
Let's solve your equation step-by-step.
2y − 5 = 95
Step 1: Add 5 to both sides.
2y − 5 + 5 = 95 + 5
2y = 100
Step 2: Divide both sides by 2.
2y / 2 = 100 / 2
y = 50
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Answer To The Angle:
( 2 ) ( 50 ) − 5 = 95
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Please don't come at me if I am wrong.....:\
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But, the anwer should be 180 degrees
Step-by-step explanation:
6.5 / 0.5
= 6.5 / (1/2)
= 6.5 * (2/1)
= 13.
Since 13 is unequal to 3.25,
we conclude 6.5 / 0.5 = 3.25 is false.
Answer:
Concept: Physics Qualitative Analysis.
- Scalar values are constant and compared to vector values they do not have a direction or magnitude or a gradient representation.
- Lets get started by setting up the equation
- They want us to find 3U-2V
- Given U= <6,6> V=<6,-6>
- Now we plug in and solve!
- 3<6,6>- 2<6,-6>
- <18,18>-<12,-12>
- Subtract
- <18-12,18-(-12)>
- Hence that gives us a result of <6,30>
- Now with the skills you gained solve the rest!!!
Answer:
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
Step-by-step explanation:
Let's write given statement as [ x ] = ] x+1 [
where [ x ] step function means next integer greater than or equal to x,
and ] y [ means last integer less than or equal to y.
Let's take an example of x = 2.5
So [ 2.5 ] = 3.
and ] 2.5 + 1 [ = ] 3.5 [ = 3.
Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
