Answers
Correlation Coefficient between the given variables is 0.0023
What is Correlation Coefficient?A statistical concept known as the correlation coefficient aids in establishing a relationship between expected and actual values gained through statistical experimentation. The estimated correlation coefficient's value explains how well the expected and actual values match.
Correlation Value of the coefficient is always between -1 and +1. If the correlation coefficient value is positive, the two variables have a similar and same relationship. Otherwise, it shows how the two variables are different.
The Pearson correlation coefficient is the result of dividing the covariance of two variables by the sum of their standard deviations. It is typically displayed as ρ(rho).
The correlation coefficient can be determined using the formula if the two variables being discussed are x and y.
Formula for Correlation Coefficient:
r×{[n∑x∧2-(∑x)∧2][n∑y∧2-(∑y)∧2]}=n(∑xy)-∑x×∑y.
Calculation:From given data:
∑x=3.95+4.18+7.5+6.19+6.35+7.23+7.98+8.15=51.53
∑y=16.12+15.75+21.45+20.08+22.60+21.95+26.42+28.38=172.75
∑x²=[tex]3.95^{2}+4.18^{2}+7.5^{2}+6.19^{2}+6.35^{2}+7.23^{2}+7.98^{2}+8.15^{2}=350.3393[/tex]
∑y²=[tex]16.12^{2}+15.75^{2}+21.45^{2}+20.08^{2}+22.60^{2}+21.95^{2}+26.42^{2}+28.38^{2}=3867.2291[/tex]
∑xy=[tex]3.95\cdot16.12+4.18\cdot15.75+7.5\cdot21.45+6.19\cdot20.08+6.35\cdot22.6+7.23\cdot21.95+7.98\cdot26.42+8.15\cdot28.38=1159.0163[/tex]
By substituting in formula:
[tex]r=\frac{8*1159.0163-51.53*172.75}{(8*350.3393-51.53^2)(8*3867.2291-172.75^2)}=\frac{370.3229}{147.3735*1095.2703}[/tex]
r=0.00229=0.0023
Correlation Coefficient between the given variables is 0.0023
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The correlation coefficient between the following variables is 0.76.
What is correlation?A statistical measure called correlation shows how much two or more variables fluctuate in connection to one another. When two variables rise or decrease simultaneously, there is a positive correlation; when there is a negative correlation, one variable increases as the other falls.
We know the coefficient of correlation is [tex]r = \frac{\sum{XY}}{\sum{X^{2}Y^2}}[/tex].
Now, [tex]\sum{XY}[/tex] = (3.95)×(16.12) + (4.18)×(15.75) + (7.50)×(21.45) + (6.19)×(20.08)
+ (6.35)×(22.60) + (7.23)×(21.95) + (7.98)×(26.42) + (8.15)×(28.38).
[tex]\sum{XY} =[/tex] 1159.02.
[tex]\sum{X} =[/tex] 51.53.
[tex]\sum{X^2} =[/tex] 463.35.
[tex]\sum{Y} =[/tex] 172.75.
[tex]\sum{Y^2} =[/tex] 5047.015.
∴ [tex]r = \frac{\sum{XY}}{\sum{X^{2}Y^2}}[/tex].
= [tex]\frac{1159.02}{\sqrt{463.35\times 5057.015}}[/tex].
= 1159.02/1530.74.
= 0.76.
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Related Questions
Identify the terminal point for a 45° angle in a unit circle.
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Answer:
(x, y) = ((√2)/2, (√2)/2))
Step-by-step explanation:
See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).
14.53 less then or greater then 16.3
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Answer:
14.53 is less than 16.3
Step-by-step explanation:
Add 7 by g then divide 10 by the result write an expression
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Answer:
7 = 1 = 21
Step-by-step explanation:
Answer:
10 / (7 + g)
Step-by-step explanation:
The original price of a mirror was priced at $15 but was on sale. The amount of the discount is $3. What percent is the discount of the mirror?
Answers
Answer:
20%
Step-by-step explanation:
You do 3 divided by 15 which is 0.2, or 20 percent.
What is the volume of a sphere with the diameter = 10 cm and the height = 200 cm
Answers
the answer is 4,188.8 cubic centimeters
#7 and #8 PLEASE HELP!!
Answers
Answer:
7) x=15.2643
8) x=21.33
Step-by-step explanation:
7) 8²+13²=c²
64+169=c²
233=c²
c²=√233
c=15.2643
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121+x²=576
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Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answers
Answer:
2 * 2 * 5 * 5
Step-by-step explanation:
100 = 2 * 50
= 2 * 2 * 25
= 2 * 2 * 5 * 5
answer and show proof for branliest
Answers
Answer:
-2(4 - 1)
Step-by-step explanation:
Choice A: ❌
9-(-17)
9 + 17 = 26
Choice B: ❌
(4 - 16)/(-2)
(-12)/(-2)
6
Choice C: ✅
-2(4 - 1)
-2(3)
-6
Choice D: ❌
3 x (-2) x (-1)
-6 x (-1)
6
Answer:
- 2(4 - 1)
Step-by-step explanation:
9 - (- 17)
9 + 17 = 26
[tex]\frac{4 - 16}{-2}[/tex] = 12
- 2(4 - 1)
- 2(3) = - 6
3 × - 2 × - 1 = 6
At a local college, an admissions officer wants to survey the incoming class of 500 first-year students concerning their preference of major. The officer randomly selects 100 of them to complete the survey, and finds that 45 are planning to major in liberal arts. The admissions officer uses the data to construct a 95% confidence interval for the proportion of first-year students who are planning on majoring in liberal arts. Are the conditions for inference met? Yes, the conditions for inference are met. No, the 10% condition is not met. No, the randomness condition is not met. No, the Large Counts Condition is not met.
Answers
Answer:
No, the 10% condition is not met.
Step-by-step explanation:
got it right on edge
Answer:
c
Step-by-step explanation:
Ben's Parents give him a 10% raise in his weekly allowance. His new allowance is $22.00. what was his old allowance?
Answers
Answer:
20
Step-by-step explanation:
20 dollars plus 10% = 22
Find the surface area of a square pyramid with side length 5 yd and slant height 7 yd.
Answers
Step-by-step explanation:
side length(a)=5yd
slant height(l)=7yd
vertical height(h)=?
Now,
h2=(l)2+(a/2)2
h=find it
Then,
T.S.A.=a2+2al
Surface area of square pyramid is 95 square yard.
What is surface area of square pyramid?The word "surface" means " the exterior or outside part of an object or body". So, the total surface area of a square pyramid is the sum of the areas of its lateral faces and its base.
So, the surface area of a square pyramid is the sum of the areas of four of its triangular side faces and the base area which is square.
Given
Length = 5 yd
Slant height = 7 yd
Surface area of square pyramid = 4 (Area of triangle) + area of square
S = [tex]4\frac{1}{2}bh+side^{2}[/tex]
S = [tex]4 . \frac{1}{2} (5)(7)+5.5[/tex]
S = 70 + 25
S = 95 square yard.
Hence, Surface area of square pyramid is 95 square yard.
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Evaluate x/y when x=32 and y=4.
Answers
Answer:
x = 32
y = 4
x/y = 32/4 = 8
Hope it helps!
Please help I’ll mark you as brainliest if correct
Answers
Answer:
It is H
Step-by-step explanation:
The volume of a pool should be measured using which of the following units?
cubic yards
cubic feet
square feet
gallons
Answers
Answer:
Square feet
Step-by-step explanation:
Hope this helped
Identify the slope in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. 1
Answers
Answer:
A) -1/3
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
m = -1/3
A population numbers 10,000 organisms initially and decreases by 4.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the
population can be written in the form P = a b where
P=
Answers
Answer:
[tex]y = 10000 * 0.959^t[/tex]
Step-by-step explanation:
Given
[tex]a = 10000[/tex]
[tex]r = 4.1\%[/tex]
Required
Express as an exponential function [tex]y =ab^t[/tex]
First, we calculate the value of b;
Since the population decrease, then
[tex]b = 1 - r[/tex] --- This represents decrement of decay factor
Substitute [tex]r = 4.1\%[/tex]
[tex]b = 1- 4.1\%[/tex]
[tex]b = 0.959[/tex]
So:
[tex]y =ab^t[/tex] becomes
[tex]y = 10000 * 0.959^t[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answers
Hello!
We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.
We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.
According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.
So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.
Hope this helps!
A bank loaned out $8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest. The total interest earned for both loans was $785.00. How much was loaned at each rate?
$____ was ;oaned at 14% and $____ was loaned at 5%
Answers
Answer:
$4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
Step-by-step explanation:
Given that a bank loaned out $ 8,500, part of it at the rate of 14% annual interest, and the rest at 5% annual interest, and the total interest earned for both loans was $ 785.00, to determine how much was loaned at each rate you must perform the following calculation:
8,500 x 0.14 + 0 x 0.05 = 1,190
6,500 x 0.14 + 2,000 x 0.05 = 1,010
4,500 x 0.14 + 4,000 x 0.05 = 830
4,000 x 0.14 + 4,500 x 0.05 = 785
Thus, $ 4,000 was invested at 14% per year, while $ 4,500 was invested at 5% per year.
Which of the following is a factor of 2x2 - x-6?
O (x+2)
O (2x - 3)
o (x – 3)
O (2x + 3)
Answers
If 1/4 of a pound cost three dollars how much is 1 pound
Answers
Answer:
1/4=3, 1/4*4= 1 and since 1/4 is $3 just do 1/4:$3+1/4:$3+1/4:$3+1/4:$3 which is $12
Step-by-step explanation:
in the diagram, AB=18. find AC and BC
Answers
Answer:
b
Step-by-step explanation:
In a 30-60-90 right triangle, the hypotenuse is twice the length of the short leg.
The hypotenuse is AB and is 18.
The short leg is BC and is 9.
The only choice with BC = 9 is b.
Answer: b
Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)
DO NOT SEND ANY LINKS.
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
Answer:
0.5
Step-by-step explanation:
If y = -4, then we must replace every variable y with the number 4. So, let's do that.
2/-4 + 1/2*(-4 + 6)
All we have to do now, is simplify. Parenthesis first...
2/-4 + 1/2*2
We can replace the 1/2*2 with 2/2 because they are the same thing.
2/-4 + 2/2
Now, solve from left to right.
-0.5 + 1 = 0.5
Therefore, the answer is equal to 0.5. Hope this helps!
4. Below are histograms displaying the values taken by three sample statistics in
several hundred samples from the same population. Each histogram has the
same scale and the true value of the population parameter is marked by an
arrow on each histogram. Which statistic is the best estimator of the parameter?
Answers
Answer:
(B) Statistic B because A and B are unbiased but B has lower variability.
Step-by-step explanation:
The correct answer is (B). The best statistic is unbiased, with the lowest variability.
what is the length of PR?
Answers
Answer:
Step-by-step explanation:
I NEED ANSWERS WITH WORKOUT PLS ANYONE HELP
-giving brainlist
Answers
Answer:
1. -x+y
2. 3a -4b
3. 5g-3y+8
4.4g-4w
5.3x-4
6.1+2a
7. c
8. 6-3x-4y
9. -5h-3+3f
10. 0
b. simplify 2(x+3) +2(2x+7) to get
6x+20
c. 12x +6
srry for the wait :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
A1) 4x-5x+3y-2y
=-x+y
=y-x
2) 2a-3b-b+a
=2a+a-3b-b
=3a-4b
3) 6g-g+8-3y
=5g-3y+8
4) 3g+g-3w-w
=4g-4w
5) 4x+3-x-7
=4x-x+3-7
=3x-4
6) 4t+1-4t+2a
=4t-4t+1-2a
=1-2a
7) 6c+2+2c-2-7c
=8c-7c
8) 6-2x-5y-x+y
=6-3x-5y+y
=6-3x-4y
9)4h+3-h+3f-9h-5+h-1
=-6h-3+3f
=3f-6h-3
10) 1-x+y-2x-2y-1+3x+y
=0
B) The perimeter
= (2x+7)2+(x+3)2
=4x+14+2x+6
=6x+20
C) The perimeter
=3x+3+3x+1+x+2+x+(3x+3-x-2)+(3x+1-x)
=3x+3+3x+1+x+2+x+3x+3-x-2+3x+1-x
=12x+8
As part of a holf-marathon route, Charlie
ron 4.1 miles east then 9 miles south. How
for is he from his starting points
Answers
Answer:
He is 9.9 miles far from his starting point.
You have 28 meters of fencing to make a rectangular garden.What different size rectangular gardens could you make with this fencing
Answers
Answer: Do you have a pic
Step-by-step explanation:
will mark brainlist!! help please
Answers
Answer:
It is the 3rd one 9/5y+9.
WILL GIVE BRAINLIEST !!
19. Car repairs. A consumer
organization estimates that
over a 1-year period 17% of cars will need to be repaired
once, 7% will need repairs twice, and 4% will require
three or more repairs. What is the probability that a car
chosen at random will need
a) no repairs?
b) no more than one repair?
c) some repairs?
Answers
Answer:
I think the answer is b. I am not sure so if I was incorrect I apologize.
Step-by-step explanation:
Jerome wants to buy grass seed to cover his whole lawn, except for the pool. The pool is 7 1/2 m by 3 1/4 m. Find the area the grass seed needs to cover.
Answers
Answer:
24 [tex]\frac {3} {8}[/tex] m
Step-by-step explanation:
[tex]\frac{15}{2}[/tex]×[tex]\frac{13}{4}[/tex]
[tex]\frac{15x13}{2x4}[/tex]
Simplify
[tex]\frac{195}{8}[/tex]
Answer: 24 [tex]\frac{3}{8}[/tex] m
The area of the grass seed Jerome needs to cover is A = 34.375 m²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the grass seed needs to cover be A
Now , the area of the lawn L = ( 11 3/4 ) x 5 m²
The area of the lawn L = 58.75 m²
where the length of the pool l= ( 7 1/2 ) m = 7.5 m
The width of the pool is w = ( 3 1/4 ) m = 3.25 m
Now , Area of Rectangle = Length x Width
On simplifying , we get
Area of the pool P = 7.5 x 3.25 = 24.375 m²
Now , the area of the grass seed needs to cover A = L - P
The area of the grass seed needs to cover A = 58.75 m² - 24.375 m²
The area of the grass seed needs to cover A = 34.375 m²
Therefore , the value of A is 34.375 m²
Hence , the area of the grass seed is 34.375 m²
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