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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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.
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How did the United States benefit from the Mexican War ?
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Name one main success and one main failure of the Republic of Texas government and tell how they contributed to Texas’ annexation by the United States.
Answers
Answer:
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Compare the way the Cherokee people lived before the Trail of Tears with their experiences during the journey.
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Answer:
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Answers
Answer: true I think
Explanation:
they occupied below the Edwards Plateau to the Gulf coast
Answer:
I think its true
Explanation:
Which of the following did the Maya and the Mesopotamians have in common?
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Answer:
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Answers
Answer:
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Answers
Explanation:
Thomas Jefferson probably handled foreign and domestic policies the best due to the Louisiana purchase. Hope this gives a little skeleton for your short paragraph! :)
Answer:
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Answers
Answer:
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Answer:
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Explanation:
(I want to ask people to stop deleting my questions. Please leave my questions alone. I know some of them don't relate to educational stuff, but I just sometimes want to be a bit nice here :( )
My question :
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Answer:
example of how Congress uses it today is how Congress needs to make laws that shall be necessary and proper for carrying into execution of the forgoing powers, and all the other powers vested by the Constitution in the Government of the department.
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Answers
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Answer:
Explanation:
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Answers
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Answers
Answer:
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Answers
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Answers
Answer:
Explanation:
Because Northern Whigs feared that war with Mexico would result in the United States gaining new territories in the southwest, which would encourage the expansion of slavery.
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Answers
Answer:
energy is something that must be transferred to a physical medium . there are multiple types of energy. kinetic energy thermal energy potential energy and solar energy to name a few. kinetic energy is a type of energy dealing with motion thermal energy deals with heat and potential energy is the amount of energy a object has relative to the stressed within its self like an arrow drawn back but hasn't been released yet
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Explanation:
i answered the same on the other question
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Answers
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Answers
Answer:
peace
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Answers
Answer:
True.?
Explanation:
Answer: True
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Answers
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Answer:
the answer is
Explanation:
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Answers
Answer:
Using checks and balances
Explanation:
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