Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

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

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 class=

Sagot :

TeacupAppleblood

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

MrRoyal

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 = 14
  • Sum of Y = 127
  • Mean X = 2.8
  • Mean Y = 25.4
  • Sum of squares (SSX) = 36.48
  • Sum of products (SP) = 206.4

The 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

Read more about regression equation at:

https://brainly.com/question/17844286

#SPJ2

View image MrRoyal
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.