Describe the type of correlation each scatter plot shows. Draw a trend line that
models each data set and find the equation of that trend line.
Answers
The correlation coefficients off both the scatter plots are mentioned above.
What is correlation?Correlation is a statistical measure that expresses the extent to which two variables are linearly related.The sample correlation coefficient is defined as[tex]${\displaystyle {\begin{aligned}r_{xy}&={\frac {\sum x_{i}y_{i}-n{\bar {x}}{\bar {y}}}{ns'_{x}s'_{y}}}\\[5pt]&={\frac {n\sum x_{i}y_{i}-\sum x_{i}\sum y_{i}}{{\sqrt {n\sum x_{i}^{2}-(\sum x_{i})^{2}}}~{\sqrt {n\sum y_{i}^{2}-(\sum y_{i})^{2}}}}}.\end{aligned}}}[/tex]
where [tex]{\displaystyle s'_{x}}[/tex] and [tex]{\displaystyle s'_{y}}[/tex] are the uncorrected sample standard deviations of
X and Y.
Given are the scatter plot graphs as shown.
For the graph {1}, the correlation coefficient is positive and is in range of between 0.7 to 0.8
For the graph {2}, the correlation coefficient is negative and is in range of between -0.4 to 0.45
Therefore, the correlation coefficients off both the scatter plots are mentioned above.
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Related Questions
Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!
Answers
Use the multinomial theorem to compute some polynomial expansions:
(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)
(a + b + c)³ = a³ + b³ + c³
… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)
… … … … … … + 6 abc
(a + b + c)⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
Now, given that
a + b + c = 4
a² + b² + c² = 10
it follows that
ab + ac + bc = (4² - 10)/2 = 3
We use this result to simplify the extra terms in the 3rd-degree expansion.
a²b + a²c + ab² + b²c + ac² + bc²
= a (ab + ac) + b (ab + bc) + c (ac + bc)
= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc
… … I underline the terms that are added and subtracted … …
= (a + b + c) (ab + ac + bc) - 3abc
= 4 • 3 - 3abc
= 12 - 3abc
Given that
a³ + b³ + c³ = 22
this tells us that
4³ = 22 + 3 (12 - 3abc) + 6abc
4³ = 58 - 3abc
and so
abc = (4³ - 58)/(-3) = -2
from which it follows that
a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18
Now we similarly simplify the extra terms in the 4th-degree expansion.
a³b + a³c + ab³ + b³c + ac³ + bc³
= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)
= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²
= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)
= 10 • 3 - (a²bc + ab²c + abc²)
which means
4⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (30 - a²bc - ab²c - abc²)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
reduces to
136 = a⁴ + b⁴ + c⁴
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 8 (a²bc + ab²c + abc²)
Now, we know a + b + c = 4 and abc = -2, so we have
a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8
and so
136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)
200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)
Finally, we know that ab + ac + bc = 3. Squaring this gives
(ab + ac + bc)² = 3²
a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9
but we also know that a²bc + ab²c + abc² = -8, so
a²b² + a²c² + b²c² + 2 • (-8) = 9
a²b² + a²c² + b²c² = 25
Therefore, we end up with
200 = a⁴ + b⁴ + c⁴ + 6 • 25
⇒ [[[ a⁴ + b⁴ + c⁴ = 50 ]]
pls help me out on this ill will give brainiest for the best answer
NO BOTS CAUSE THEY ARE NO HELP
Answers
Answer:
Step-by-step explanation:
butt
First person to get it right will get Brainly and 20 points. Good luck
Answers
Answer:
16/20
Step-by-step explanation:
4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5
The answer is 16/20 I think.
ASAP HURRY.
A tabletop is shaped like a square with half-circles on two ends.
One side of the square is 0.8 m. To the nearest meter, what is
the perimeter of the tabletop?
Answers
won't it be 3.2 because A square has four sides so you multiply 0.8 by 4
x*y=xy+2y find 4*[1*-5]
Answers
Answer:
- 90
Step-by-step explanation:
Evaluate 1*- 5 then the outer one
1*- 5 ( with x = 1 and y = - 5 )
= 1(- 5) + 2(- 5)
= - 5 - 10
= - 15
Then
4*- 15 ( with x = 4 and y = - 15 )
= 4(- 15) + 2(- 15)
= - 60 - 30
= - 90
Marcus is it mixing blue and yellow paint in the ratio of 2 to 3 to make green paint. He wants to make 45 L of green paint. Him being to make a table to help him think about the problem but is unsure of what to do next. Marks find Amandas also mixing paint she wants to make purple paint by mixing 2 cups of blue with a4 cups are red paint. Amanda makes her pain in his left with 48 cups of purple paint how many more cups of purple paint did she use than blue paint? If Amanda has 15 cups of blue paint how many cups repair does she need? Amanda wants her purple paint mixture from part bead to be a little lighter so she mixes in two more cups of white paint what is the ratio of blue paint to repaint the white paint that she used?
Answers
This question is based on the concept of ratio. Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.
Given:
Mark was mixing blue and yellow paint ratio of 2:3.
He wants to make 45 liters of green paint.
According to the question,
Blue : Yellow = Green
2 : 3 : 2+3 (Given)
2 : 3 : 5
Therefore, he wants to make 45 liters of green paint.
So, 5 parts = 45 liters
Now, calculating for each part.
We get,
Each part = 45÷ 5 = 9 liters
Now for 2 parts = 9 x 2 = 18 liters
And, for 3 parts = 9 x 3 = 27 liters
Therefore, he needs to have 18 liters of blue paint and 27 liters of yellow paint to make 45 liters of green paint.Write an equation of the line that is parallel to the y-axis and goes through the point (-2, 5)
Answers
x = -2
help was i correct please help for brainlist!!!!!!!!!!!!!!
Answers
You're correct! we can see the population is not going down by half each time, so that eliminated b and c. Since we start with 5000, this makes c the right answer.
Hope this helps :)
Answer: c
Step-by-step explanation:
a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Answers
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
Some studies show that high school students are more successful when the school day begins after 9 am. To test this theory,
Lake High School changes its school day start time from 7 am to 9 am. Which of the following methods would best describe
the study above?
O A experimental study
OB. observational study
OC. survey
OD
controlled experiment
a
Reset
Submit
Answers
Answer:
It's probably B
Step-by-step explanation:
if all 10 players scored the same number of points, how many would each have to score to get a total of 230
Answers
Answer:
Each player would have to score 23 points.
Step-by-step explanation:
To answer this question, you must do 230 ÷ 10!
The answer to this is 23.
You can double check your answer by multiplying 23 by 10!
Answer:
23
Step-by-step explanation:
I got it correct on I-ready
Hope this helped!
From: Aug1e
Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee
Answers
Explanation: this is if the numerator has exponent of 12 and denominator has exponent of 6(I can’t really see)
help me plz i need help
Answers
Answer:
y-2.0
x-2.3
Step-by-step explanation:
hope it help
Answer:
x- intercept = - 1, y- intercept = - 1
Step-by-step explanation:
The x- intercept is the point on the x- axis where the line crosses
x- intercept = - 1
The y- intercept is the point on the y- axis where the line crosses
y- intercept = - 1
Replace * with a monomial in such a way, that the trinomial becomes a perfect
square.
*+12x+1
Answers
Answer: 36x^2
Step-by-step explanation:
Hi! I usually hate to use links, but I actually just answered this same question for someone else. I would copy and paste, but my copy and paste is screwing up the format making it super hard to read. I'm attaching the link instead. Hope this helps!
https://brainly.com/question/26017159?cb=1639960292092
Find the value of x and then identify the measure of each of the angles.
Answers
Answer:
x = 21
Upper angle has a measure of 69°
Lower angle has a measure of 21°
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
A right angle has a measure of 90 degrees.
This means that (x + 48) + x must equal 90
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
x + 48 + x = 90
combine like terms
2x + 48 = 90
subtract 48 from both sides
2x = 42
divide both sides by 2
x = 21
We then plug in x to find the measures of the angles
x + 48
x = 21
21 + 48
= 69
The other angle simply equals 21°
Answer:
x = 21°
(x + 48°) = 69=
Step-by-step explanation:
x + 48° + x = 90°
2x +48° = 90° Subtract 48° in both sides
2x = 42° Divide both sides by 2:
x = 21°
What is the value of X?
Answers
i think the answer is 8
bc the small one is 4 and the big one is 6
and the other one is 6 so it must be 8
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answers
Answer:
Sir your answer is 15
Step-by-step explanation:
Hope this helps luis
Factorize
A) [tex]x^{2} -x-132[/tex]
B) [tex]9t^{2} -u^{2}[/tex]
C) [tex]4p^{2} -9[/tex]
D)[tex]162-8t^{2}[/tex]
E) [tex]p^{2} x-4q^{2} x[/tex]
Answers
Select True or False to correctly classify each inequality.
Inequality True or False ( will give brainliest)
−2≤−2 true or false
6.1<6.1 true or false
5.6≥5.6 true or false
5.6≥5.6 true or false
−4>4 true or false
Answers
Answer:
−2≤−2 True
6.1<6.1 False
5.6≥5.6 True
5.6≥5.6 True
−4>4 False
Step-by-step explanation:
Hence, all the statements are true except option (4).
What is the inequality?
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here given that,
[tex]-2\leq -2[/tex] is true, because [tex]-2[/tex] is equals to each other.
[tex]6.1 < 6.1[/tex] is true, because [tex]6.1[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]5.6\geq 5.6[/tex] is true, because [tex]5.6[/tex] is equals to each other.
[tex]-4 > 4[/tex] is false, because [tex]-4[/tex] is not greater than [tex]4[/tex].
Hence, all the statements are true except option (4).
To know more about the inequality
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help plz (asap) ..............................................................................
Answers
Answer:
oof u alone kid
Step-by-step explanation:
what the avage of 87.25
Answers
Answer:
B+
3.3 GPA
Step-by-step explanation:
A brainly Would be greatly appreciate!!!
Answer:
87.25
Step-by-step explanation:
Find
Area of triangle when base is 4cm and angles 60 and 70
Answers
Answer: Area = 6.64966
Step-by-step explanation:
The x-intercept of the graph of f(x)= 3 log (x+5)-2 is
Answers
Answer:
26
Step-by-step explanation:
do the math
The soccer team provides 5 liters of water for the coaches and 1.25 liters of water for each player during practice.
Which equation represents the total number of liters of water, w, based on the number of players, p?
Answers
Answer:
y=1.25x+5
Step-by-step explanation:
NEED ANSWER VERY BAD BAD
Answers
Like terms
9x + 99 = 180
9x = 81
X = 9
Hope this helps!
Brainliest is much appreciated
HELP ME PLEASEEE !!
DON'T GIVE ME IRRELEVANT ANSWERS PLEASE
Answers
Solve 12x - 6] >10 please help ❤️❤️
Answers
Answer:
Hya there!!
_______________________
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
x > 4 /3
Interval Notation:
( 4 /3 , ∞ )
_______________________
“Sleep my little baby-oh
Sleep until you waken
When you wake you'll see the world
If I'm not mistaken...
Kiss a lover
Dance a measure,
Find your name
And buried treasure...
Face your life
Its pain,
Its pleasure,
Leave no path untaken.”
― Neil Gaiman, The Graveyard Book
_______________________
Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn
whats the answer pls
Answers
Answer:
y=0.75x-1
Step-by-step explanation:
Desperately need help on question 2 & 3 !
Answers
13
x=15
because of the other one is the only thing
can someone help with this
Answers
Answer:
B and C
Step-by-step explanation:
