Which is the best estimate of the correlation coefficient for the scatter plot ?
Answers
Answer:
Option (4)
Step-by-step explanation:
Table for the points from the graph attached,
x y [tex]x^{2}[/tex] [tex]y^{2}[/tex] xy
2.2 1.8 4.84 3.24 3.96
3.2 1.8 10.24 3.24 5.76
3.6 3 12.96 9 10.8
4.8 3.5 23.04 12.25 16.8
5.2 6.2 27.04 38.44 32.24
6.4 4.5 40.96 20.25 28.8
7.5 7.8 56.25 60.84 58.5
8.5 6.2 72.25 38.44 52.7
[tex]\sum x=41.4[/tex]
[tex]\sum y=34.8[/tex]
[tex]\sum x^2=247.58[/tex]
[tex]\sum y^2=185.7[/tex]
[tex]\sum xy=209.56[/tex]
n = 8
Formula for the correlation coefficient [tex]r=\frac{n\sum xy-(\sum x)(\sum y)}{\sqrt{[{n\sum x^2-(\sum x)^2][n\sum y^2-(\sum y)^2]}}}[/tex]
[tex]r=\frac{8(209.56)-(41.4)(34.8)}{\sqrt{[{8(247.58)-(41.4)^2][8(185.7)-(34.8)^2]}}}[/tex]
r = [tex]\frac{1676.48-1440.72}{\sqrt{266.52\times 274.56} }[/tex]
r = [tex]\frac{235.76}{\sqrt{73175.73}}[/tex]
r = [tex]\frac{235.76}{270.51}[/tex]
r = 0.87
r ≈ 0.9
Therefore, Option (4) is the answer.
Related Questions
what is 32.72 rounded to the nearest tenth
Answers
Answer:
32.7
Step-by-step explanation:
Two doesn't round up seven, so it just gets knocked off the end.
Which pair of angles are corresponding angles?
Answers
Answer:
Corresponding Angles
Step-by-step explanation:
Both [tex]\angle 4[/tex] and [tex]\angle 8[/tex] are Corresponding Angles, they are in the same side of the transversal line, and where a line crosses two other lines.
Step-by-step explanation:
<4 and <8 are corresponding angles because they are on the same side of the transversal and are at the same location and they are congruent meaning they are equal
find two numbers adding to 40 such that the sum of their square is as small as possible
Answers
Answer: 20+20
Step-by-step explanation: The sum of their square is 800 which is the lowest i've found so far
Solve: -19 = X - 19 halppppp
Answers
Answer:
x = 0
Step-by-step explanation:
Step 1: Write equation
-19 = x - 19
Step 2: Solve for x
Add 19 to both sides: 0 = xRewrite: x = 0Step 3: Check
Plug in x to verify it's a solution.
-19 = 0 - 19
-19 = -19
Answer:
0
Step-by-step explanation:
Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let B represent the number of paintballs that Carolina buys.
1) Which inequality describes this scenario?
Answers
Answer: 18+0.08B>75
Step-by-step explanation: 713 paintballs
The inequality equation is given as 18 + 0.08B ≥ 75 then the number of the paintballs that Carolina buys is 713.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Carolina goes to a paintball field that charges an entrance fee of \$18 and $0.08, per ball.
The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Let B represent the number of paintballs that Carolina buys.
Then the inequality equation will be given as
18 + 0.08B ≥ 75
Then the value of B will be
0.08B ≥ 75 - 18
B ≥ 712.5 ≈ 713
More about the inequality link is given below.
https://brainly.com/question/19491153
Show work please.... thanks
Answers
Answer:
[tex]x=-155/6[/tex]
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write equation
[tex]\frac{x}{5} -7=\frac{2x+3}{4}[/tex]
Step 2: Solve for x
Convert 7 to fraction: [tex]\frac{x}{5} -\frac{35}{5} =\frac{2x+3}{4}[/tex]Combine fractions: [tex]\frac{x-35}{5}=\frac{2x+3}{4}[/tex]Cross multiply: [tex]4(x-35)=5(2x+3)[/tex]Distribute: [tex]4x-140=10x+15[/tex]Subtract 4x on both sides: [tex]-140=6x+15[/tex]Subtract 15 on both sides: [tex]-155=6x[/tex]Divide both sides by 6: [tex]-155/6 = x[/tex]Rewrite: [tex]x=-155/6[/tex]Answer:
x = -25.83333333
or as a fraction
-155/6
Step-by-step explanation:
i don’t know how much she need to make
Answers
Answer:
4
Step-by-step explanation:
She can make 4. Have an amazing day
Your bank account has a balance of $12 . You deposit $60 . What is your new balance?
Answers
Answer:
$72
Step-by-step explanation:
Just add it together
10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she
received for her birthday and deposits her pay checks each month after that, write a function for the
total amount of money in her savings account based on how many months the account has been open.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
11. Kevin needs to get his truck fixed. The mechanic tells Kevin the part he needs will cost $75 and
there will be a fee of $60 per hour for labor. If the total cost to fix his truck is a function of the number
of hours the mechanic has to work (labor) on the truck, write a function to represent this situation.
Then tell what the domain (x values) and range (y values) represent.
Function:
Domain:
Range:
Answers
Answer:
uh uh uh uh uh I'll try uh uh uh uh uh
ball is thrown 40 meters above ground. the height of the ball from the ground level after t seconds is defined by using the function h(t)=40t-5t^2. how long will the ball take to hit the ground
Answers
Answer:
The ball will take 8.90 seconds to hit the ground.
Step-by-step explanation:
The height of a ball after t seconds is given by:
[tex]h(t)=40t-5t^2[/tex]
Determine how long will the ball take to hit ground level. Since the gound is 40 meters below the throwing point:
[tex]40t-5t^2=-40[/tex]
Rearranging:
[tex]5t^2-40t-40=0[/tex]
Simplifying by 5:
[tex]t^2-8t-8=0[/tex]
Solving the quadratic equation with the formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
With a=1, b=-8, c=-8
[tex]\displaystyle t=\frac{8\pm \sqrt{64+32}}{2}[/tex]
[tex]\displaystyle t=\frac{8\pm \sqrt{96}}{2}[/tex]
There are two solutions:
t=8.90 sec, t=-0.90 sec
Due to the nature of the problem, t cannot be negative, thus:
The ball will take 8.90 seconds to hit the ground.
write 23.4571 correct to ,
a,4 significant figure
b,the nearest 10
Answers
Answer:
I would say B
Step-by-step explanation:
Are the ratios 15:10 and 3:2 equivalent? yes no
Answers
Answer:
yesss they are
Answer:yes
Step-by-step explanation:
What’s 6•5+-36 divided by 6
And the dot is multiplication!
Answers
Answer:
the answer is -1 this is correct because a calculator is alwayd your frie d
Answer: -1
Step-by-step explanation:
6 times 5 is 30, then you add negative 36, which is really subtraction, so you get -6 divided by a positive 6 (negative divided by a positive is negative) which gives you -1
Evaluate 6p - 3 when p = 2
Answers
Answer:
9
Step-by-step explanation:
since you replace the p with 2 the 6 and 2 are close to each other so that means you multipli so 6x2=12-3=9
Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number
Answers
Answer:
x+(x+2) = 3(x+4) -27
Step-by-step explanation:
Let's look at all the parts.
Consecutive odd integers... that means that if x is the first one, then x+2 will be the next largest one, and x+4 will be the largest one. So if x is 5, x+2 is 7, and x+4 is 9.
1. Canada's population is currently increasing at a rate of 1.4% per year. If our current population is 37 590 000, what will our population be next year?
2. A bag of potato chips costs about $0.50 to make. If they are sold for 336% of the wholesale price, what do they cost in stores?
3.In a bicycle store, a $500 bicycle is marked, "Get a 36% discount." What is the sale price of the bicycle?
Answers
Answer:
1. 37590000x0.986=37034160
2. 0.5x3.36=1.68
3. 500x0.64=320
What is the GCF of 18x^2, 6x
Answers
Answer:
6x - Goes both into 18x^2 and 6x evenly.
(02.02 MC) A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice Does a possible solution of (12.36) make sense for this function? Explain your answer.
Answers
Answer:
D step by step explanations
-3 3/8 x 3/8. and can u explain step by step. Pls Help me
Answers
Answer: -2 1/8
Step-by-step explanation: I can't explain but i think that is the answer.
Can someone help me out with this problem
Answers
Answer:
x = 117°
Step-by-step explanation:
Vertically opposite angles are equal
One of the triangle's properties is that the exterior angle is the sum of the opposite angles (interior angles)
Ac=20 bc=2x+12 ab=2x+8find x
Answers
40 + 4x
Answer:
x = 0
Step-by-step explanation:
AB + BC = AC
therefore
2x+8 + 2x+ 12 = 20
combine like terms
4x+ 20 = 20
Subtraction property of equality
4x + 20 - 20 = 20 - 20
4x = 0
Division property of equality
4x/4 = 0/4
x=0
Compared to its parent function the transformation of the following : y= -3x - 3 + 4
a) reflected respect to x-axis, stretched vertically, moved 3 to the left and 4 up
b) stretched horizontally, moved 3 to the right and 4 up
c) reflected with respect to x-axis, stretched vertically, moved 3 to the right and 4 up
d) stretched horizontally, moved 3 to the left and 4 down
Answers
Hope it helps!!
At a charity fund raiser , adult tickets were sold for 8$ children each and children’s tickets were sold at 2$ each. write an algebraic expression for the total amount raised from the sale of tickets. How much money was raised if the fundraiser sold 238 adult tickets and 375 children’s tickets?
Answers
Answer:
2,654$
Step-by-step explanation:
8a + 2c
8 x 238 = 1,904
2 x 375 = 750
750 + 1,904 = 2,654
2,654$
Hopefully this helps you
pls mark brainlest
assuming that no questions are left unanswered, in how many ways can a six-question quiz with 4-choice multiple choice questions be answered?
Answers
Given:
Total number of questions = 6
Choice for each question (in MCQ) = 4
Assuming that no questions are left unanswered.
To find:
The total number ways to answer the quiz, assuming that no questions are left unanswered.
Solution:
Here, Number of ways to answer each question = 4
To find the total number ways to answer 6 MCQ, we have to have to multiply number of ways to answer each question 6 times.
Total number of ways to answer six-question quiz with 4-choice multiple choice questions is
[tex]4\times 4\times 4\times 4\times 4\times 4=4096[/tex]
Therefore, the required number of ways is 4096.
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
We have,
For each question on the quiz, there are 4 choices.
Since each question is independent of the others, the total number of ways to answer the entire quiz can be found by multiplying the number of choices for each question together.
There are 6 questions with 4 choices each.
4 choices for the 1st question * 4 choices for the 2nd question * 4 choices for the 3rd question * 4 choices for the 4th question * 4 choices for the 5th question * 4 choices for the 6th question
= [tex]4^6[/tex]
Using exponential notation,
[tex]4^6[/tex] = 4 * 4 * 4 * 4 * 4 * 4 = 4096
Therefore,
There are 4096 ways to answer the six-question quiz with 4-choice multiple-choice questions.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
What is the side length,s,of the square?enter your answer in the box
3. How would you classify the
number 125?
A) perfect square
B) perfect cuber one
C) both a perfect square and a
perfect cube
D) neither a perfect square nor a
perfect cube
Answers
To be honest, everything!
Answers
Answer:
?
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
same
Nine children and six adults bought tickets to the circus.
Which expression represents the total cost if c represents
the cost of a child's ticket and a represents the cost of an
adult's ticket?
Answers
Answer:
below
Step-by-step explanation:
9c + 6a = total cost
The question is: what is the approximate area of the circle when 3.14 is used for π?
Answers
Answer:
the answer is 113 in. squared
Answer:
The approximate are of the circle is 1017 in².
I WILL MARK YOU AS BRAINLIEST
PLEASE HELP AS SOON AS POSSIBLE
Answers
Answer:
6
Step-by-step explanation:
Answer:
$15
Hope this helps! Please mark Brainliest!
Please help I’m stuck
Answers
Answer: your answer would be c (-12,-24)
Step-by-step explanation: the coordinates of R is (-2,-4) so you do 6 times -2 which gives you -12 and then 6 times -4 which gives you -24. You put the numbers together which makes (-12,-24).
I hope this helps you out stay safe.