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Three years of monthly lawn-maintenance expenses ($) for a six-unit apartment house insouthern Florida follow.
Month Year 1 Year 2 Year 3
January 170 180 195
February 180 205 210
March 205 215 230
April 230 245 280
May 240 265 290
June 315 330 390
July 360 400 420
August 290 335 330
September 240 260 290
October 240 270 295
November 230 255 280
December 195 220 250
a. Construct a time series plot. What type of pattern exists in the data?
b. Develop an estimated regression equation that can be used to account for any seasonaland linear trend effects in the data. Use the following dummy variables to account forthe seasonal effects in the data: Jan 1 if January, 0 otherwise; Feb 1 if February,0 otherwise; Mar 1 if March, 0 otherwise; . . . Nov 1 if November, 0 otherwise.Note that using this coding method, when all the 11 dummy variables are 0, the observationcorresponds to an expense in December.
c. Compute the monthly forecasts for next year based upon both trend and seasonaleffects.
What is globalisation, and what explanations have been put forward to explain how it affects individuals and communities?
1. Determine the equation of a graph of f(x) = x^2 that has been transformed so that it now has a vertex of (4,-1) opens down, and was stretched so that it passes through the point (5,-3).
Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or "washer." (Do this on paper.)
overviewthe final project for this course is the creation of a research paper. you will select a specific problem you
Escher style tessellation
Rewrite the system of linear equations in the matrix form and solve the system of linear equations using the Inverse method.
Assume that each serve is independent of the others. If she serves 5 times,
Suppose you wanted to have exactly $20000 in your savings account after 48 months at an annual interest rate of 3.25% compounded monthly and you made an initial deposit of $1800. What would your monthly savings have to be (how much would you have to ..
Imagine you are talking about your college math class over the family dinner table with your father, and he asks, "What are Venn diagrams?" Describe how you would explain them to him.
Rational root theorem and synthetic division - Use the rational roots theorem and synthetic division to find the years the country " broke even" (dept = surplus = 0) from 1990 to 2000.
What is the probability that more than one machine is in the system? Probability that more than two are broken and waiting to be repaired or serviced? More than four?
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