2.46 strong association but no correlation. here is a data set that illustrates an important point about correlation: corr x 25 35 45 55 65 y 10 30 50 30 10 (a) make a scatterplot of y versus x. (b) describe the relationship between y and x. is it weak or strong? is it linear? (c) find the correlation between y and x. (d) what important point about correlation does this exercise illustrate?
Answers
a. In the picture we can see that the scatterplot is given for the data in the given table.
b. It is not linear as we can see from scatterplot.
c. The correlation between y and x is 0.
d. when r = 0 there is no relationship between x and y.
Given that,
The data is given in the table.
We know that,
a. We have to make a scatterplot of y versus x.
In the picture we can see that the scatterplot is given for the data in the given table.
b. We have to describe the relationship between y and x.
When x increases y increases upto certain point after that y start to decrease but x is increases only
Therefore, it is not linear as we can see from scatterplot.
c. We have to find the correlation between y and x.
The formula for the correlation coefficient is
r = [tex]\frac{n\times \sum XY-\sum X \times\sum Y}{\sqrt{[n\sum X^2 - (\sum X)^2][n\sum Y^2 - (\sum Y)^2]} }[/tex]
Now we find summation of all X, Y and XY, [tex]X^2[/tex] and [tex]Y^2[/tex]
X Y XY [tex]X^2[/tex] [tex]Y^2[/tex]
25 10 250 625 100
35 30 1050 1225 900
45 50 2250 2025 2500
55 30 1650 3025 900
65 10 650 4225 100
Now, ∑X = 225
∑Y = 130
∑XY = 5850
∑[tex]X^2[/tex] = 11125
∑[tex]Y^2[/tex] = 4500
Now, Substitute the values in the formula
r = [tex]\frac{5\times 5850-225 \times130}{\sqrt{[5\times 11125 - (225)^2][5\times 4500 - (130)^2]} }[/tex]
r = 0
Therefore, The correlation between y and x is 0.
d. We have to find what important point about correlation does this exercise illustrate.
Therefore, when r = 0 there is no relationship between x and y.
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Related Questions
Express the confidence interval (0.069.0.159) in the form of p-E
Answers
the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045
In a confidence interval, the lower bound represents the point estimate minus the margin of error, and the upper bound represents the point estimate plus the margin of error. In this case, the lower bound of the confidence interval is 0.069 and the upper bound is 0.159. To express it in the form of p ± E, we need to find the point estimate and the margin of error.
The point estimate, p, is the average or central value of the interval. In this case, it would be the midpoint between the lower and upper bounds:
p = (0.069 + 0.159) / 2 = 0.114
The margin of error, E, can be calculated by taking half the difference between the upper and lower bounds:
E = (0.159 - 0.069) / 2 = 0.045
Therefore, the confidence interval (0.069, 0.159) can be expressed as 0.114 ± 0.045.
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1.Mike buys an item with a price of $15 and uses a 10% off coupon. How much does he save by using this coupon?
Answers
Answer:
14.31
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided The top five test scores in Mr. Rhodes's class were 98, 92, 96, 97, and 97. What is the mean absolute deviation?
Answers
Step-by-step explanation:
mad = 98 + 92 + 96 + 97 + 97 / 5
= 480/5
= 96
mad = (98 -96) + (92 - 96) + (96 -96) + (97- 96) + (97 -96) / 5
= 2 + (-4) + 0 + 1 + 1 / 5
=0/5
mad = 0
brainliest is appreciated
Answer:
1.6
Step-by-step explanation:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
98+92+96+97+97=480
480/5 values=96 is the mean or average of the set of numbers
so we just find the absolute value of the data value minus the mean.
For the first one it would be |98-96|=2
then continue on and get a set of values
{2,4,0,1,1}
now find the average of that to get the mean absolute deviation
2+4+0+1+1=8
8/5 values
1.6
Hope that helps :)
2.
A customer went to a garden shop and bought some potting soil for $11.50 and 9 shrubs. The total bill was $94.75. Write and solve an equation to find the price of each shrub.
A. 9p + $11.50 = $94.75; p = $11.75
B. 9p + 11.5p = $94.75; p = $4.62
C. 9(p + $11.50) = $94.75; p = $5.00
D. 9p + $11.50 = $94.75; p = $9.25
Answers
Answer:
D. 9p + $11.50 = $94.75; p = $9.25
Step-by-step explanation:
To answer this problem, let p be the price of each scrub. The total bill (t) is the sum of the price of the potting soil (s) and of the 9 scrubs (n). This is depicted in the equation,
$11.50 + 9p = $94.75
The value of p from the equation is 9.25. Thus, each scrub costs $9.25. The answer is letter D.
...................................................................................................................................................
Let
p---------> the price of each scrub
s----------> the price of the potting soil
T--------> total bill
we know that
in this problem
substitute the values in the formula above
solve for p
therefore
the answer is the option D
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Working together, Daniel and Donnie can clean the llama pen in 45 minutes. On his own, Daniel can clean the pen in an hour. How long does it take Donnie to clean the llama pen on his own?
Answers
Answer:
It takes him 15 minutes.
Step-by-step explanation:
Donnie clean the llama pen in 180 minutes on his own.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Daniel and Donnie can clean the llama pen in 45 minutes.
And, On his own, Daniel can clean the pen in an hour.
Now,
Let time to clean the llama pen in on his own = x minutes.
Since, Daniel and Donnie can clean the llama pen in 45 minutes.
So, In 1 minute, Daniel and Donnie clean the pen = 1/45
And, In 1 minute Daniel to work = 1/60
Thus, We can formulate;
1/x + 1/60 = 1/45
Solve for x as;
(60 + x) / 60x = 1/45
60 + x = 60x / 45
60 + x = 4x/3
180 + 3x = 4x
180 = 4x - 3x
180 = x
Thus, Donnie clean the llama pen in 180 minutes on his own.
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ABM Services paid a $4.15 annual dividend on a day it closed at a price of $54 per share. What
was the yield?
Answers
Answer:
7.68%
Step-by-step explanation:
The computation of the yield is shown below:
As we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
We simply divide the annual dividend from the price per share so that the yield could be determined
hence, the yield is 7.68%
And, the same would be relevant
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answers
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
What’s an equivalent expression of -1/2(-2x+4y) ?
Answers
Answer:
x-2y
Step-by-step explanation:
duh
Answer: x - 2y
Step-by-step explanation: All you have to do is simplify some bit to get another expression
Given that a^b = x, evaluate the following: a^2b
Help PLZ!!! Will give brainliest to the first correct answer!!!!!!!
Answers
Answer:
[tex] x^2 [/tex]
Step-by-step explanation:
[tex] a^{2b} = a^{b \times 2} = (a^b)^2 = x^2 [/tex]
Answer: [tex] x^2 [/tex]
Answer:
x² is the answer
Step-by-step explanation:
if a^b=x
and a^2b= (a^b)²
=x²
If you know the area and the base of a triangle, how can you find the height?
Answers
Answer: do your values into the equation A=1/2bh and do the math. First multiply the base (b) by 1/2, then divide the area (A) by the product. The resulting value will be the height of your triangle!
How could you calculate the value of log11(9100) using a calculator? What does it equal (round to the nearest tenths place)?
Answers
Use synthetic division to evaluate (2x2 − 7x + 5) ÷ (x − 1).
1. 2x - 9
2. 2x - 5
3. 2x^2 - 5x
4. 2x^2 - 10
Answers
Jazmin takes a ride share service home from the airport. The ride share service charges $5 as an initial cost to pick her up, and $2.25 for every mile to her final destination. Jazmin's ride home cost a total of $38.75. Write an equation to represent the situation. Let m represent the number of miles to her home.
Answers
Answer:
38.75 = 2.25 m + 5
Step-by-step explanation:
It is given that :
Jazmin took a ride share service from airport to home.
The total cost of the ride service from airport to home is = $ 38.75
The ride service charged an initial cost for picker Jazmin = $ 5
Cost of the ride service for every mile = $ 2.25 per mile
Let the number of miles = m
Therefore, the equation that represents the situation is :
38.75 = 2.25 m + 5
where, m represents the number of miles.
p = 15
p
+4
3
please help thank you
Answers
Answer:
9
Step-by-step explanation:
15/3 simplified is 5.
5 + 4 = 9
Martin recorded the low temperatures at his house for one week. The temperatures are shown below.
-7, -3, 4, 1, 2, 8, 7
Approximately what was the average low temperature for the week?
Α. 7
B. "1
C. 1
D "8
Answers
Add all the temperatures together. Divide the sum by the amount of temperatures are are and boom there is your answer
A man sued a computer keyboard manufacturer, charging that his repetitive stress injuries were caused by the keyboard. The jury awarded about $3.5 million for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are in the table below.
39 60 75 115 135 140 149 150 232 290 340 410 600 750 750 750 1,050 1,100 1,139 1,150 1,200 1,200 1,250 1,578 1,700 1,825 2,000
What is the maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule"? (Round your answer to three decimal places.)
Answers
The maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).
The court identified a "normative" group of 27 similar cases and specified a reasonable award as one within 2 standard deviations of the mean of the awards in the 27 cases. The 27 award amounts (in thousands of dollars) are as follows: 8, 8, 9, 10, 10, 11, 11, 11, 12, 12, 13, 13, 13, 14, 15, 15, 15, 17, 19, 20, 23, 24, 28, 30, 33, 34, and 45. The mean is 16.3 and the standard deviation is 9.75. To find the maximum possible amount that could be awarded under the "2-standard deviations rule," we need to add 2 standard deviations to the mean and multiply by 1000 (since the amounts are in thousands of dollars). So the calculation is as follows: Maximum possible amount = (16.3 + 2 × 9.75) × 1000= 35.8 × 1000= $35,800. Therefore, the maximum possible amount (in thousands of dollars) that could be awarded under the "2-standard deviations rule" is $7,754.227 (rounded to three decimal places).
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A rectangle has a width of 8cm and a length given by the expression 2n +3. What is the correct expression to find the area of the rectangle?
Answers
Answer:
16n + 24
Step-by-step explanation:
Area of a rectangle= Length × width
= (2n+3) × 8
= 16n + 24
As part of his science project, Steve recorded the number of eggs laid by several lizards from the local pet shop. The data Steve collected is provided below.
10, 7, 8, 8, 9, 10, 9, 10, 8, 11, 11, 9, 7, 10, 9
In his report, Steve should use the _____ as a measure of center since his data is ____
Answers
A culture of bacteria doubles every hour. If there are 500 bacteria at the beginning, how many bacteria will there be after 9 hours
A. 256,000
B.40,500
C. 9,000
D. 4,500
(I NEED ANSWERED ASAP ) this my same question from the first one )
Answers
hey cutie ! pls help me :)
Ms. Jisoo is going on a trip to Hawaii. The function A(d)= 0.80d+200 models the amount A, in dollars, that Ms. Jisoo's company pays her based on the round trip distance d, in miles that Ms. Jisoo travels to do a job.
Ms. Jisoo's pay increases by $
A)200
B)80.200
C)0.80
D)200.80
Answers
Answer:
a-am i really cute
Step-by-step explanation:
can anyone help me with this question?
Answers
Answer:
45 and 13…......
Step-by-step explanation:
devide
25% of x is 30
x=?
please help!!!
Answers
25% of 30 can be found by converting 25% to a decimal and multiplying it by 30.
25% = 0.25
30x0.25=7.5
So x is 7.5.
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hope it helps
The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help
Answers
Can you post a picture?
It would make it so much easier.
help please i will give brainliest to first answer
Answers
Answer:
m<ADC= 117
Step-by-step explanation:
A random sample of n = 145 items are selected for measurement. Nothing is known about the distribution of measurements. Are the requirements for constricting a confidence interval for the population mean satisfied? None of these No It depends Not enough information No answer text provided. Yes
Answers
The requirement for constricting a confidence interval for the population mean are not satisfied
How to determine if the requirements are satisfiedFrom the question, we have the following parameters that can be used in our computation:
Sample size, n = 145
We understand that
There is no other information about the distribution of measurements
This shows that the requirements are not satisfied
This is so because we need to know
if the measurements are normally distributed if the sample size is large enough according to the Central Limit TheoremRead more about normal distribution at
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angle not necessarily drawn to scale
Answers
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
I choose a card at random from a well-shuffled deck of 52 cards.
The probability that the card chosen is a spade or a black card
is:
a.
37/52
b.
38/52
c.
39/52
d.
36/52
Answers
The probability of choosing a card that is a spade or a black card is 3/4 or 0.75 which is option C
What is the probability that a randomly choose card is a spade or a black card?To find the probability of choosing a card that is a spade or a black card, we can consider the number of favorable outcomes and the total number of possible outcomes.
Number of favorable outcomes:
There are 13 spades in a deck of 52 cards.There are 26 black cards (13 spades and 13 clubs) in a deck of 52 cards.Total number of possible outcomes = 52 cards in a deck.
Now, we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = (13 + 26) / 52
Probability = 39 / 52
Probability = 3 / 4
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Find the sine, cosine, and tangent of acute angle A
Answers
sine = 4/5
cosine = 3/5
tangent 4/ 5
Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hour.
Which fraction represents Maria’s speed in miles per hour?
3/5^/2
2/5
3/5
2/^3/5
Answers
Answer: 2/^3/5
Step-by-step explanation:
Maria paddled at a steady in a 2-mile canoe race. Her finish time was 3/5 hours. The fraction represents Maria’s speed in miles per hour is 2 /^3/5. The correct option is d.
What is the fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction.
The type of fractions are:
Proper fraction.Improper fraction.Equivalent fractions.Mixed fraction.Like fractions.Unlike fractions.Here, Maria paddled 2 mile (distance). The time is 3/5 hours (time).
The fraction is speed = distance/time
2 mile / 3/5
Therefore, the correct option is d. 2 /^3/5.
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a dice was rolled 60 times what is the probability of rolling a 3
Answers
Answer: 2/15
Step-by-step explanation:
Experimental probability is the actual results of the experiment (not what should have happened, which is theoretical probability.
A 3 was rolled 8 times, so the results are 8/60=4/30=2/15