Answer:
its b
Step-by-step explanation:
The correlation coefficient of the set of data is 0.9957.
What is coefficient correlation? What is the general equation of a Straight line?Correlation coefficient measures the strength and direction of the relationship between two variables. Following is the formula to calculate the correlation coefficient -
[tex]$r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}[/tex]
r → correlation coefficient.
[tex]$x_{i}[/tex] → values of the x-variable in a sample.
[tex]$\bar{x}[/tex] → mean of the values of the x-variable.
[tex]$y_{i}[/tex] → values of the y-variable in a sample.
[tex]$\bar{y}[/tex] → mean of the values of the y-variable.
The general equation of a straight line is -
y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a runner times herself to see how long it takes her to run different distances. The table shows the runner's times (in minutes) for running several distances (in miles) -
Miles -
1 2 3 4 6 8 10 12
Time -
7 16 30 35 57 75 106 132
The calculations are given below -
[X - Mₓ]
- 4.750
- 3.750
- 2.750
- 1.750
0.250
2.250
4.250
6.250
Mₓ = 5.750
[Y - My]
- 50.250
- 41.250
- 27.250
- 22.250
- 0.250
17.750
48.750
74.750
My = 57.250
[X - Mₓ]²
22.562
14.062
7.562
3.062
0.062
5.062
18.062
39.062
Sum = 109.500
[Y - My]²
2525.062
1701.562
742.562
495.062
0.062
315.062
2376.562
5587.562
Sum = 13743.500
(X - Mₓ)(Y - My)
238.688
154.688
74.938
38.938
- 0.062
39.938
207.188
467.188
Sum = 1221.500
Finding [X] - Values -
∑ = 46Mean = 5.75∑(X - Mₓ)² = SSₓ = 109.5Finding [Y] - Values -
∑ = 458Mean = 57.25∑(Y - My)² = SSy = 13743.5[X] and [Y] Combined
N = 8∑(X - Mx)(Y - My) = 1221.5R Calculation
r = ∑((X - My)(Y - Mₓ)) / √((SSₓ)(SSy))
r = 1221.5 / √((109.5)(13743.5)) = 0.9957
r = 0.9957
Therefore, the correlation coefficient of the set of data is 0.9957.
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PLZZ ZZZZZZ HELPPPPPPP
Answer:
the answer is 2 4/5
Step-by-step explanation:
there are two wholes plus 4 out of 5 pieces, so it is 2 and 4/5.
Please Help me
This is due ASAP!
Answer:
20 nickels
23 dimes
Step-by-step explanation:
hope this helps!
due today helpppppppppp
Answer:
Step-by-step explanation:
c and d
Answer:
2nd one
Step-by-step explanation:
pls help me TwT than u very much
Answer:
The answer is C
Step-by-step explanation:
Discrete is where its a whole number and does not continue.
There can only be a whole number of people. there cannot be half a person.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
how many hours is 10am to 7:30pm
Answer:
9 hours 30 minutes
Step-by-step explanation:
plz help i’ll mark brainliest for correct answer
Answer:B
Step-by-step explanation:
Find the average of 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8
Answer:
The average is 8...........
Answer:
8
Step-by-step explanation:
Lucinda lives .6 miles from the park. Angie lives 10 times as far from the city park as Lucinda. Stacy lives 1/10 of a mile further from the park than Angie. However, she lives 3/10 of a mile closer to the park than Gabriel. How far from the park does Gabriel live?
Answer: 6.4 miles
Step-by-step explanation:
Lucinda lives 0.6 miles from the Park and Angie lives 10 times as far as this.
= 0.6 * 10
= 6 miles
Stacy lives 1/10 miles further than Angie;
= 6 + 1/10
= 6.1 miles
She lives 3/10 of a mile closer than Gabriel which means that Gabriel lives 3/10 of a mile further from the park than Lucinda;
= 6.1 + 3/10
= 6.4 miles
Answer the question below
i need helpp
Answer:
Step-by-step explanation:
C. lol
PLEASEEE HELP I DONT GET IT
Answer:
I would recommend that if it is re-testable, keep that slide open and open another so you can copy from the other slide
Your soul is an appalling dump heap overflowing with the most disgraceful
Assortment of deplorable rubbish imaginable mangled up in tangled up knots!
Find figurative language
Answer:
Assortment of deplorable rubbish imaginable
Step-by-step explanation:
Please help me answer this
Answer: y = x - 5
Step-by-step explanation: hope this helps! :)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!1
Write an expression that is equivalent to 3k - 18
Answer:
3(k-6)
Step-by-step explanation:
I did it on i-Ready and got it right!
A common factor of 3k and 18 that is greater than 1 is 3.
An expression that shows 3k minus 18 is 3(k)-3(6).
An expression that is equivalent to 3k - 18 can be written as follows:
3(k - 6)
Given is an expression 3k-18 we need to an expression that is equivalent to it,
Let's break it down to understand why this expression is equivalent to 3k - 18:
Distributive Property: The expression 3(k - 6) can be expanded using the distributive property, which states that for any real numbers a, b, and c: a(b + c) = ab + ac.
In this case, a is 3, and b is k while c is -6. So we can apply the distributive property as follows: 3(k - 6) = 3k + 3(-6).
Simplification: The term 3(-6) can be simplified to -18, so the expression becomes 3k - 18.
Therefore, the expression 3(k - 6) is equivalent to 3k - 18 because both expressions yield the same result when evaluated for any value of k.
Learn more about expression click;
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what was the cost of a ticket to ride the original Ferris wheel
Answer:
100
Step-by-step explanation:
100 is the correct answer
Answer: 100 and why do u need to know
What is the amount of the interest on a 5 year loan of $2000 with 4.5 % simple interest rate?
the temperature at 6AM was -13 degrees. It rose 7 degrees by 10AM. What is the current temperature at 10AM?
Answer:
-6 degrees
Step-by-step explanation:
-13 degrees plus 7 degrees equals -6 degrees
b/-4 +10 =9
is the question
Answer:
b-76
Step-by-step explanation:
b/-4 -10=9
-b-40=36
b =-76
The phone I bought for $999 is losing 8% value each month. How much will it be worth in 2years
The length of a room is 4 feet less than twice its width. The perimeter of the room is 58 feet. What is the length of the room?
Answer:
Length = 18
Step-by-step explanation:
Length= 2w - 4
Perimeter= 58
Perimeter= 2L + 2w
58 = 2(2w-4) + 2w
58 = 4w -8 + 2w
58 = 6w - 8
66 = 6w
11 = w
Plug in width to find the variable L
58 = 2L + 2(11)
58 = 2L + 22
36 = 2L
18 = L
Cynthia invests some money in a bank which pays
5% compound interest per year.
She wants it to be worth over £8000 at the end of 3 years.
What is the smallest amount, to the nearest pound, she can invest?
Let ,Cynthia invested $x
Rate = 5%per year
time = 3 year
Amount
A= P(1+r/100)^t
8000=x(1+5/100)^3
8000=x(21/20)^3
x= (8000x8000)/9261
x=6910.7$
Therefore she can invest =$6910.7 =5322.14 pound
calculate 1/2 - 1/3× 6/7
Answer:
3/14
Step-by-step explanation:
This is because 1/2-1/3 is 1/6 and then 1/6 times 6/7 is 3/14
Answer:
here u go
Step-by-step explanation:
Henry examined the table that represents values satisfying the function f(x) shown below.
.
0
RX)
18
0
1
2
4
3
0
4
6
5
8
0
6
7
8
24
70
Based on the information in the table, which one of these key features is incorrect?
The y-intercept of the graph of the function is at (0, - 18).
The maimu
Answer: The maximum value of the function is 4
Write an expression for
The value in cents of 5 quarters
Answer:
.25+.25+.25+.25+.25
Select all that apply
Answer:
it's a little bit confusing and not too clear but the third one should be correct
PLEASE I NEED HELP ON THIS ONE TOO THANK YOU BRAINLY IF CORRECT TYSM PLEASE HELP
Which organization is a major part of the executive branch?
A. The House of Representatives
B. The U.S. Senate
C. The cabinet
D. The Supreme Court
Answer:
C. The cabinet
Step-by-step explanation:
The executive branch besides the president also includes the advisors that help the president make decisions.
The House of Representatives and U.S. Senate are part of the Legislative Branch (Law and Order).
The Supreme Court is the only organization that makes up the Judicial Branch.
Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?
Answer:
d
Step-by-step explanation:
took it on edg
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
How to represent the solution set?First, we represent the mathematical statements as an equation or inequalities
Mathematically, the statements in the questions are:
2x^2 < y-x^2 + 5 > yWhere x and y represents the two numbers
So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
Read more about inequalities at:
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is this statement true or false?
WILL GIVE BRAINLIEST!
If Triangle ABC ≈ Triangle DBE, find the value of x.
Answer:
x = 49
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
∠CBA = ∠EBD (Vertically opposite angles are equal)
= 52°
Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.
∠BDE = 180° - 70° - 52°
= 58°
∠BDE = ∠CAB
= ∠(x + 9)°
= 58°
x + 9 = 58
x = 58 - 9
x = 49
Find x in the figure.
A) x = 44
B) x = 16
C) x = 22
D) x = 66
Answer:
C) x = 22Step-by-step explanation:
3x + 3x + 48 = 180
6x = 180 - 48
x = 132 / 6
x = 22
A recipe calls for 5 1/2 tbsp of butter. Nyzea is making 3 1/2 times the recipe for his basketball team. How much butter will he need?
Answer:
So it seems that it is 2 tablespoons of butter per 3 cups of flour.
Step-by-step explanation:
so now just count it up. if you have 6 cups you will have 4 tablespoons of butter. Add up one more time. If you have 12 cups of butter you will have 8 tablespoons of butter.
Answer:
19 1/4
Step-by-step explanation:
5 1/2 x 3 1/2 = 19 1/4
