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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Volume = l x w x h
180 = l (5 x 4)
180 = 20 l
6 = l
That means that the couch will fit, because the length of the van is 6 ft, which is also the length of the couch.
Answer:
52 years
Step-by-step explanation:
Let
Your age = x
3 times your age = 3 * x
= 3x
The equation can be written as:
400 - 3x = 244
400 - 244 = 3x
156 = 3x
Divide both sides by 3
x = 156/3
x = 52
Therefore,
Your age is 52 years
There are no solutuons listed (says which of the following). My answer below should be in the list to choose from.
7 - 4x ≥ 35
subtract 7 from both sides
-4x ≥ 28
divide both sides by -4 AND change the direction of the inequality sign because we're dividing by a negative
x ≤ -7
CHECK:
7 - 4x ≥ 35
7 - 4(-7) ≥ 35
7 + 28 ≥ 35
35 ≥ 35
ANSWER: x ≤ -7
Hope this helps! :)
Answer with explanation:
→The Exact meaning of Probability is Chance.It Means ,that Something will happen or not in terms of rational numbers.
→As, Probability of an event lies between ,0 to 1, means ,the result is not Precise ,whether it will happen surely that is exactly 100% or it will not, that is 0%.Percentage of happening of anything lies between 0% to 100%.
→0 ≤ Probability ≤ 1,shows that ,if we represent it on the number line, it is Scattered from ,0 to 1.
These three reasons are enough to verify that, Probability can't be used to Predict exactly ,the result of an Activity.It is just representation in terms of rational number.
