3. Alfonso surveyed several students in his school. He asked them to give the grade that they are in any the number of pets they have at home. The results are shown in the table
below.
Survey Results
Number of
Grade
5
6
2
1
4
2
4
1
4
3
5
Pets
0
4
2
3
5
1
2
2
0
5
2
I
Find the correlation coefficient for the data. Round to the nearest hundredth.
Answers
the correlation coefficient for Alfonso survey is 0.36.
What is the correlation coefficient?
The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.
For the given situation,
The table below shows the values of the data x, y and the correlation calculations.
The formula of correlation coefficient is
[tex]r=\frac{n(\Σ xy)-(\Σ x)(\Σ y)}{\sqrt{[n\Σ x^{2} -(\Σ x)^{2} }] [n\Σ y^{2}-(\Σ y)^{2} ]}[/tex]
From the table substitute all the values.
⇒ [tex]r=\frac{(11)(98-(37)(26))}{\sqrt{[11(153)-37^{2} ][(11)(92)-26^{2} ] }}[/tex]
⇒ [tex]r=\frac{1078-962}{\sqrt{(1683-1369)(1012-676)} }[/tex]
⇒ [tex]r=\frac{116}{\sqrt{(314)(336)} }[/tex]
⇒ [tex]r=\frac{116}{324.81}[/tex]
⇒ [tex]r=0.357[/tex] ≈ [tex]0.36[/tex]
Hence we can conclude that the correlation coefficient for Alfonso survey is 0.36.
Learn more about correlation coefficient here
https://brainly.com/question/19560394
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Related Questions
Can someone please help with this?
Answers
Answer:
true
Step-by-step explanation:
first find the median of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Complete the Square
x2 + 10x +
Answers
Answer:
( + 10)
Hope this helps you out
I'll give brainliest to whoever answers correctly.
Answers
Answer:
29
Step-by-step explanation: pls dont get mad if it is wrong
<3<3<3<3<3<3
Answer:
29
<3<3<3<3<3<3
A. Y
B. X
C. W
D. Z
Answers
What integer is closet to n
Answers
Answer:
Rounding to the Nearest Integer
The most common type of rounding is to round to the nearest integer. The rule for rounding is simple: look at the digits in the tenth's place (the first digit to the right of the decimal point).
can someone please help, I've been stuck on this for hours
Answers
Answer:
i love ur profile pic
Step-by-step explanation:
and j
put a dot on 3 for the y side
write an equation in slope-intercept for the line that has a slope of 1/2 and goes through the point (4, 7)
Answers
Answer:
y = 1/2x + 5
Step-by-step explanation:
The formula for an equation is y = mx + b
m is the slope. It is given
y = 1/2x + b
b is the y-intercept
In this case, we must substitute to find the y-intercept
We are given coordinate pair (4,7)
Plug our pair in and we get => 7 = 1/2(4) + b
=> 7 = 2 + b
easily, we find b = 5
We get our equation: y = 1/2x + 5
Cheers!
I purchased a new book that was on sale for 40% off. I saved $24.00 because of the sale. What was the original price? (6 points)
Pls Answer I need it for my test thats due Monday
Answers
Answer:
60
Step-by-step explanation:
24 dividend by 4 equals 6.
this means 10% of the original price is 6.
6 times 10 equals 60
hope this helps!!!
Identify the expression equivalent to 16x + 24y
1. 2 (8x + 24y)
2. 8 (8x + 3y)
3. 8 (2x + 3y)
4. 4 (2x + 6y)
Answers
I hope it helps you out
Which statement is true?
y = 12(3)*
Growth Factor is 3
Decay factor is 3
growth factor is 12
decay factor is 12
Answers
Growth factor is 3
A turtle and a snail are 300 feet apart when they start moving towards each other. The
turtle is moving at a speed of 5 feet per minute, and the snail is moving at a speed of 1
foot per minute.
How fast are they approaching each other?
Answers
Answer:
6 feet per minute
Step-by-step explanation:
Answer:
6 feet per minute.
Step-by-step explanation:
5ft + 1ft = 6ft per minute.
can someone pls help i’ll mark you brainliest pls pls pls it’s due in 10 min
Answers
Answer:
Step-by-step explanation:
1) r = 5mm; d = 10 mm
2) r = 6 cm; d = 12 cm
3) r = 9 m; d = 18 m
4) r = 8 km; d = 16 km
5) r = 11 m; d = 22 m
6) r = 15 mm; d = 30 mm
7) r = 13 km; d = 26 km
8) r = 7 cm; 14 cm
Or D : X=9
Choose one answer pls
Answers
Answer:
[tex]x=\sqrt{41}[/tex]
Step-by-step explanation:
Pythagorean theorem: [tex]a^{2}+ b^{2}=c^{2}[/tex]
Answer:
Option B
Step-by-step explanation:
Pythagorean Theron is:
[tex]a^2+b^2=c^2\\\\\text{a and b - legs}\\\text{c - hypotenuse}[/tex]
We would be solving for 'c', or the hypotenuse.
[tex]4^2+5^2=c^2\\\\16+25=c^2\\\\41=c^2\\\\\boxed{\sqrt{41}, -\sqrt{41} =c}[/tex]
The correct answer should be option B.
Hope this helps.
Please help me!!!
solve for f : 5/6 f =5
1. 5
2. 4.2
3. 7.3
4. 6
Answers
Answer:
6
Step-by-step explanation:
hello, i need help.
find m∠bae
Answers
Answer:
125
Step-by-step explanation:
180-55=125
HELP!
What is the missing term? What is the rule? 8 9/10, 7 7/10, 6 1/2 , _________
Answers
Answer:
5 3/10
Step-by-step explanation:
You subtract 1 1/5 from the number (n).
(In equation) x = n - 1 1/5
The rule is to subtract 1 2/10 each time
To figure this out, first look at the whole numbers
8, 7, 6, ___
You can see that your subtracting one to get to the next number.
Now look at the fractions.
9/10, 7/10, 1/2
To figure out the change you want all the fractions to have the same denominator.
1/2 = 5/10
9/10, 7/10, 5/10, ___
You can now also see that 2/10 is being subtracted each term.
Adding the two changes you get 1 + 2/10 = 1 2/10
whats 3x3+4 use pemdas ?
Answers
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
First, we do 3x3 which is 9.
Then, we do 9+4=13
Hope this helps =]
15. A rectangle has a length of 2x - 1 and a width of 3x + 7. Find the perimeter of this rectangle.
Then find the area of the rectangle.
Answers
Answer:
10x + 12 and 6x² + 11x - 7
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2w ( l is length and w is width )
= 2(2x - 1) + 2(3x + 7) ← distribute parenthesis
= 4x - 2 + 6x + 14 ← collect like terms
= 10x + 12
--------------------------------------------------
The area (A) of a rectangle is calculated as
A = lw
= (2x - 1)(3x + 7) ← expand using FOIL
= 6x² + 14x - 3x - 7 ← collect like terms
= 6x² + 11x - 7
find the distance between the points (-4,-2) and (3,3)
Answers
Answer:
8.6
Step-by-step explanation:
Use the distance formula to find the distance between the two points.
√[(x₂ - x₁)² + (y₂ - y₁)²]
√[(3 - -4)² + (3 - -2)²]
√[(7)² + (5)²]
√[(49) + (25)]
√74
8.6
ill mark brainlist plss help
Answers
What are the solutions to the system of the equations graphed below?
Answers
Answer:
D
Step-by-step explanation:
Where the graphs intersect each other is where the solution is. The graphs intersect each other at the points (0,-8) and (4,8). Hope this helps!
¿Cuál es el inverso aditivo de -3?
Answers
Answer:
3 is the additive inverse of -3
Step-by-step explanation:
-3 + 3 = 0
A rancher is building a new square corral for his horses. The total perimeter of the corral is 520m. What will the total area of the corral be?
Answers
Answer:
4*s= 520
s= 130
area=s*s=130*130=16900m^2
Step-by-step explanation:
Does anyone know the answer? I would really appreciate it!!
Answers
Answer:
B
Step-by-step explanation:
The answer is B hope that help
At the start of the show there were 2000 liters of oxygen in the
studio Now that we are 10 minutes into the show, there are 1950 liters. Is
someone. breathing in here? What is their rate of oxygen consumption in liters do
per minute?
please help
Answers
Answer:
11,000
Step-by-step explanation:
PLS HELP ASAPPPP ILL GIVE BRAINLIEST OR WHATEVER NO LINKS!!!!!!!!!!!!!!!!!!
Answers
1) Power of a Product
2) Power Rule (or Power of a Power)
Answer:
-Number 1 is Power of a Power Property, I think
-Number 2 is Power of a Power Property
The data below represents the number of
runs scored in the last 14 games. Which
statement best describes the data?
A. The peak of the data is 3.
B. The data distribution is symmetrical.
C. The data distribution has several gaps.
D. The range of the data is 6.
Answers
B is basically saying that the chart looks symmetrical and it does
SYMMETRICAL: the chart has about the same shape on either side of the middle.
Each car on a computer train holds 20 people. On a particular morning, 5 cars were 90% full and 3 cars were 65% full. If the people were rearranged to fill as many cars as possible, how many cars would be filled?
Answers
Answer:
7 cars
Step-by-step explanation:
The computation of the number of cars to be filled is shown below:
A car that is 90% full and the total people is 20 so 90% would be
= (.90)(20)
= 18
A car that is 65% full and the total people is 20 so 65% would be
= (.65)(20)
= 13
Now
Total number of people = (5)(18) + (3)(13).
= 129
Now the number of cars to be filled is
= 129 ÷ 20
= 6.45
= 7 cars
Which best describes the figure that is represented by the following coordinates?
A(-4, 3), B(2,3), C(3, -1) and D(-5, -1)
у
10-
a rectangle
8
6
a trapezoid
4
2
a rhombus
10-8
-6 -4
24
8
X
0
-2
a parallelogram
-4-
-6
-8
- 10
Answers
9514 1404 393
Answer:
(b) a trapezoid
Step-by-step explanation:
A graph of the points reveals one pair of parallel sides: a trapezoid.
Show that the area of triangle DEF is 11 cm2.
Answers
9514 1404 393
Explanation:
The length CD can be found from the Pythagorean theorem.
CF² + CD² = DF²
2² + CD² = (2√10)²
CD² = 40 -4 = 36
CD = √36 = 6
From here, any of several methods could be used to find the area of ΔDEF.
One of them is to subtract the areas of the triangles that are not ΔDEF from the area of the rectangle ABCD.
area ABCD = bh = (6 cm)(5 cm) = 30 cm²
area ΔADE = 1/2bh = 1/2(4 cm)(5 cm) = 10 cm²
area ΔBEF = 1/2bh = 1/2(2 cm)(3 cm) = 3 cm²
area ΔCDF = 1/2bh = 1/2(6 cm)(2 cm) = 6 cm²
Then the area of interest is ...
area ΔDEF = area ABCD -area ΔADE -area ΔBEF -area ΔCDF
area ΔDEF = (30 -10 -3 -6) cm²
area ΔDEF = 11 cm²
__
Alternate solution
If we define A as the origin of a coordinate system, then the coordinates of the vertices of ΔDEF are ...
D(0, 5), E(4, 0), F(6, 3)
The area can be computed as half the absolute value of the sum of the determinants of 2×2 matrices consisting of adjacent points.
[tex]A=\dfrac{1}{2}\left|\left|\begin{array}{cc}0&5\\4&0\end{array}\right|+\left|\begin{array}{cc}4&0\\6&3\end{array}\right|+\left|\begin{array}{cc}6&3\\0&5\end{array}\right| \right|\\\\=\dfrac{1}{2}|(0-20)+(12-0)+(30-0)|=\dfrac{1}{2}(22) = \boxed{11}[/tex]
_____
Additional comment
The solution using coordinates is effectively equivalent to the computation of the area of trapezoid ABFD, less the areas of triangles EBF and AED.