Construct a scatterplot and identify the mathematical model that best fits the data. Assume that the model is to be used only for the scope of the given data and consider only linear, quadratic, logarithmic, exponential, and power models. Use a calculator or computer to obtain the regression equation of the model that best fits the data. You may need to fit several models and compare the values of R2.
y = 6.22 e1.39x
y = 20.14 + 13.36 ln x
y = 11.11x0.855
y = 9.56 + 5.66x
Answers
Answer:
i)
Find the attached
ii)
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Step-by-step explanation:
i)
A scatter-plot can easily be constructed using applications such as Ms. Excel and Stat-Crunch.
In Ms. Excel we first enter the data in any two adjacent columns. Next, highlight the data, then click the insert ribbon and select the scatter-plot option.
Excel returns a scatter-plot chart as shown in the attachment below.
ii)
After obtaining the scatter-plot, we shall need to add a trend line in order to determine the mathematical model that best fits the data given.
Click anywhere inside the chart, then select the design tab under chart tools. Click on the Add Chart element in the upper left corner of the excel workbook and select more trend-line options. This feature will enable us to fit any trend-line to our data.
Select any trend line option ensuring you check the boxes; Display Equation on chart and Display R-squared value on chart.
Find the attached for the various trend-lines.
The mathematical model that best fits the data is;
y = 7.19 + 12.8 ln x
Since it has the largest R-squared value of 0.9905
The regression equation of the table of values is y = 9.56 + 5.66x
How to draw the scatter plot?The table of values is given as:
x: 0.2 0.7 1.9 3.5 7.7
y: 3 5 35 37 47
See attachment for the scatter plot based on the above table of values
How to determine the regression equation?To do this, we make use of a graphing calculator with the following calculation summary:
Sum of X = 14Sum of Y = 127Mean X = 2.8Mean Y = 25.4Sum of squares (SSX) = 36.48Sum of products (SP) = 206.4The regression equation is represented as: y = a + bx
Where
b = SP/SSX = 206.4/36.48 = 5.66
a = MY - bMX = 25.4 - (5.66*2.8) = 9.56
So, we have:
y = 9.56 + 5.66x
Hence, the regression equation of the table of values is y = 9.56 + 5.66x
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Related Questions
long homework or short homework
Which one should I dooooo!!!!!
I WANNA HEAR YOUR OPINIONS
Answers
Answer:
long homework because it probably has more points and if you maybe miss an assignment u will have more points to keep you passing vs the smaller amount of points u get by quickly breezing through the short homework
What are statements that align with the Democratic Party? (choose all that apply)
The government should often intervene in social issues.
People make the best decisions rather than the government.
The nation should have a market economy.
Government involvement should be limited.
The government should advocate for social justice and affirmative action.
Answers
-the government should intervene in social issues
-the nation should have a market economy
-the government should advocate for social justice and affirmative action.
The following statements align with the Democratic Party.
The government should often intervene in social issues.The nation should have a market economy.The government should advocate for social justice and affirmative action.The correct options are A, C, and E.
What are some things the Democratic Party supports?Democratic platforms advocate for social programs, labor unions, consumer protection, workplace safety laws, equal opportunity, disability rights, racial equity, environmental pollution controls, and criminal justice reform.
The Democratic Party generally advocates left-wing, liberal, and progressive ideological views, arguing for a strong government to control industry and support US residents. As a result, social responsibility is one of the primary ideals highlighted by Democrats.
Thus, the ideal selection is options A, C, and E.
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Why do you think the Founding Fathers included the ability of Congress to override a veto?
Answers
Answer:
Congress to prevent the legislative branch from becoming too powerful.
List the three-part government of the British colonies and tell what each part did. Answer in your own words.
Answers
Answer: A governor was appointed by the king or proprietor to head the colony and carry out the laws and decrees. Assisting and advising the governor, a council also enforced the king's wishes. An assembly made up of elected representatives became the voice of the people arguing the causes and interests of the colonists.
Explanation:
I can see no hope in the future, whatever may be the issue of the fight, which now seems inevitable. The best chance for ultimate re-union would be a peaceable separation.
–Jonathan Worth,
Letter to Springs, Oak and Co.,
May 13, 1861
How did Worth feel about the direction of the country when he wrote this letter? Check all that apply.
There was no hope for peace.
There was still hope for reunion.
War was unavoidable.
Negotiations could lead to peace.
A peaceful separation was the best course of action.
Answers
Answer:
The correct answer is 1, 3, and 5
Explanation:
Constitutional Convention of 1787
What agreement did the delegates at the Constitutional Convention design to resolve this disagreement?
A).Virginia Plan
B).Albany Plan
C).Great Compromise
D).Three-Fifths Compromise
Answers
Answer:
It is C. Great Compromise
Explanation:
I’m almost 100% sure i’m correct If i am not i apologize!
Hope I helped!
What role did the need for land and other natural resources play in Confederation? How did those needs lead the colonies to unite? (Canada)
Answers
Answer:
Confederation could offer the colonies strength through unity, an idea that gained steady support, especially in the wake of the US abrogation of the Reciprocity Treaty in 1866. In the face of dwindling external markets, Confederation could provide the colonies with the ability to sell goods to each other more easily.
Explanation:
(BRAINLIEST!!!)
In addition to serving as places of worship, the Buddhist monasteries that were built by Prince Shotoku..
A) offered medical care.
B) became artistic centers.
C) taught people to speak Chinese.
D) conducted official government business.
Answers
Answer:
A, offered medical care
Explanation:
hope this helped!
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Answer:
A
Explanation:
They offered Medical Care
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Is it ethical for companies to use images that are intended to manipulate the audience into thinking a luxury is necessary? Why or why not?
Answers
It is not ethical for companies to advertise to children so heavily. The American Academy of Pediatrics claims that too much exposure to marketing might encourage kids to smoke, drink, and eat poorly, which frequently results in obesity. Children are told by the advertising that they must have certain things in order to be happy and acceptable.
Why is advertising to children particularly troubling to ethicists?Constantly exposing young children to complex marketing content may cause them to develop negative societal ideals like consumerism and materialism.
Children have little to no money of their own and must convince their parents to purchase things on their behalf, hence advertising to kids is unethical. Companies employ a "nag and complain" technique that fosters resentment between parents and children rather than directly marketing to parents.
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Answers
Answer: True
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Is the following statement true or false? The majority of the amendments are concerned with the protection of rights.
Answers
Answer:
True.?
Explanation:
Answer: True
Explanation: During the ratification, loyalists were concerned that the constitution would result in tyranny. So, most of the ammendments protect rights.
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What category was used to divide up Canada?
Answers
Answer:
Canada Confederation
.
Explanation:
What is a market economy?
A.an economic system in which the government or another central administration regulates supply and prices
B.a system in which people earn wages and buy the goods and services they choose
C.a market that relies on the trading of goods and services without the use of money
D.an economic system that is a combination of both command and market economies
Answers
Answer:
A
Explanation:
I think I may be wrong?
Explanation; Initially, a market economy is perceived as an economic system in which production and prices are determined by unrestricted competition between privately owned businesses.
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1 one section stated grievances against England
2 written by Thomas Jefferson
3 written by Benjamin Franklin
4 committee to draft it included John Hancock, Samuel Adams, Thomas Jefferson, George Washington and Patrick Henry
5 the author used the ideas of John Locke
6 one section laid out the structure of the new American government
7 one section stated political principles
Answers
Answer:
1,2,3,6
Explanation:
Under what sorts of circumstances do you think an amendment might be necessary?
8b.
Answers
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Can somebody see if I’m correct?
Answers
It is D All of the above but you are technicaly correct
Answer:
It was to connect the country's railroad systems across the entire country. It was built to ship goods and people around much easier and quicker.
Explanation:
Please help for brainlist!!!!!
What were the reactions of each group in the different regions in British North America to the idea of Confederation? (Canada)
Answers
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Answers
Answer:
i hope this might help
Explanation:
At the war’s outset, what is now Canada was comprised of the British colonies of Canada West and Canada East (now Ontario and Québec) and the Maritime colonies of Nova Scotia, New Brunswick, Prince Edward Island and Newfoundland. Britain declared itself neutral; that is, it would support neither the Union nor the Confederacy. As a result, Canada and the Maritimes were also neutral.
Despite the official stance, the majority of Canadian and Maritime newspapers sympathized with the South, not because they supported slavery, but because they saw the Confederacy as a small power defying a distant, larger one that was not protecting its interests. Many Canadians and Maritimers opposed Lincoln because he said the war was not about freeing slaves but was about reuniting his country or, as he phrased it, preserving the union. Many Canadian and Maritime business people sold weapons and offered other support to both sides.
Compare and contrast biblical creationists and evolutionists worldviews.
Answers
give two cause-and-effect relationships for the Ottoman Empire and give dates
Answers
not sure what the cause and effects are but the dates are between 1299 and 1922
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Answers
Completely simplify the expression
`4 w -12 w + 4 w`
Answers
Answer:
-4w
Explanation:
Combine like terms. 4w+4w=8w. 8w-12w=-4w
Answer:
-4w
Explanation:
I believe
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Answer:
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Answers
Answer:
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aka pls help me I’m lost.
Answers
Answer:
#1 = A
#2 = A?
#3 = C
#4 = B
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Answers
Answer:
New England, the Middle Colonies, the Chesapeake, and the Lower South.
Explanation:
The thirteen colonies of British North America that eventually formed the United States of America can be loosely grouped into four regions: New England, the Middle Colonies, the Chesapeake, and the Lower South.
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Answers
Answer: cellular respiration
Explanation:
Plz help me with this question
Answers
Answer:
All answers on here :)
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