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Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?

Post a total of 3 substantive responses over 2 separate days for full participation. This includes your initial post and 2 replies to other students or your faculty member. 

Due Day 3

Time series are particularly useful to track variables such as revenues, costs, and profits over time. Time series models help evaluate performance and make predictions. Consider the following and respond in a minimum of 175 words:

  • Time series decomposition seeks to separate the time series (Y) into 4 components: trend (T), cycle (C), seasonal (S), and irregular (I). What is the difference between these components?
  • The model can be additive or multiplicative.When we do use an additive model? When do we use a multiplicative model?
  • The following list gives the gross federal debt(in millions of dollars) for the U.S. every 5 years from 1945 to 2000:

Year    Gross Federal Debt ($millions)

1945    260,123

1950    256,853

1955    274,366

1960    290,525

1965    322,318

1970    380,921

1975    541,925

1980    909,050

1985    1,817,521

1990    3,206,564

1995    4,921,005

2000    5,686,338

  • Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?
  • Use Excel to fit a linear trend and an exponential trend to the data. Display the models and their respective r^2.
  • Interpret both models. Which model seems to be more appropriate? Why?

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  • Construct a scatter plot with this data. Do you observe a trend? If so, what type of trend do you observe?
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Construct a scatter plot for Amazon’s net income/loss and sales figures for the period 1995–2015.

Multiple Regression Analysis

Amazon.com has become one of the most successful online merchants. Two measures of its success are sales and net income/loss figures. The data can be found in the file, Amazon.

Use Excel to complete the following:

  1. Construct a scatter plot for Amazon’s net income/loss and sales figures for the period 1995–2015.  
  2. Determine a polynomial model, including its order (or degree), for Amazon’s net income/loss and sales figures. 

Use Word to complete the following:

  1. Explain your process of determining the polynomial model
  2. Submit your work in a Word document and attach your Excel file.

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Use the data below to make a scatter plot Hint: count gridlines (blocks) by 1→

Math 103 quiz 4 chapter 8 2021c Upload file(s) as “Last Name Quiz 4” etc

Open book & notes, can use calculating device, formula sheets + extra paper. Use formula sheets including Normal distribution (z) tables. If completing problems manually, show work for credit. – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – – 1. Use this data set { 65, 38, 53, 62, 44, 87, 27, 78, 21, 18, 60, 78, 2, 44 } and find the…

a) median b) mode

( Round answers to a few decimals (1 or 2) Show work if NOT using your calculator) c) mean d) sample standard deviation

bonus 1 (+0.1%) use the above data & find the Range… (+0.1%) & Midrange

2 a) Use the data below to make a scatter plot Hint: count gridlines (blocks) by 1→

x 5 2 1.5 5.5 7 4 3.4

y 1 4 6 2 2.5 1.3 2.7

What kind of linear correlation seems to exist: b) positive, negative, or none?

3. A fish species has normally distributed weights with standard deviation 2.9 and mean = 22.5 lbs. Show these 3 parts for each: ÀF︂ill in the appropriate formula & show the calculated z. ÁNext, round it up (or down) to the closest z-value (2 decimals) listed in the N-distribution tables, and write that value. ÂFind the # using the table (show all 4 digits, % or decimal).

a) What is the percentage (%) of data less than 22? b) what is the % of data greater than 26?

c) what is the % of data between 21 and 28.5?

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Construct a scatter plot in Excel with FloorArea as the independent variable and AssessmentValue as the dependent variable

The Excel file for this assignment contains a database with information about the tax assessment value assigned to medical office buildings in a city. The following is a list of the variables in the database:

  • FloorArea: square feet of floor space
  • Offices: number of offices in the building
  • Entrances: number of customer entrances
  • Age: age of the building (years)
  • AssessedValue: tax assessment value (thousands of dollars)

Use the data to construct a model that predicts the tax assessment value assigned to medical office buildings with specific characteristics.

  • Construct a scatter plot in Excel with FloorArea as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
  • Use Excel’s Analysis ToolPak to conduct a regression analysis of FloorArea and AssessmentValue. Is FloorArea a significant predictor of AssessmentValue?
  • Construct a scatter plot in Excel with Age as the independent variable and AssessmentValue as the dependent variable. Insert the bivariate linear regression equation and r^2 in your graph. Do you observe a linear relationship between the 2 variables?
  • Use Excel’s Analysis ToolPak to conduct a regression analysis of Age and Assessment Value. Is Age a significant predictor of AssessmentValue?

Construct a multiple regression model.

  • Use Excel’s Analysis ToolPak to conduct a regression analysis with AssessmentValue as the dependent variable and FloorArea, Offices, Entrances, and Age as independent variables. What is the overall fit r^2? What is the adjusted r^2?
  • Which predictors are considered significant if we work with α=0.05? Which predictors can be eliminated?
  • What is the final model if we only use FloorArea and Offices as predictors?
  • Suppose our final model is:
  • AssessedValue = 115.9 + 0.26 x FloorArea + 78.34 x Offices
  • What wouldbe the assessed value of a medical office building with a floor area of 3500 sq. ft., 2 offices, that was built 15 years ago? Is this assessed value consistent with what appears in the database?

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