For the given table,following is the curve representation:
a)Slope:m=change in y/change in x=(120-108)/(2-1)=12
b)m=12=(y2-y1)/(x2-x1)=(108-y1)/(1-0)
y1=b=96
c)Equation:y=mx+b
y=12x+96
d)Taking y=0,0=12x+96
x=-96/12
x=-8
e)Considering x=16
y=12*16+96
y=288
y = 12x + 96 5 6 7
Section C: Long Questions (20 Marks) C1: Consider the following time series. [SK3: 5 marks] Time...
Consider the following time series. Time Yt 1 18 2 20 3 22 4 24 5 26 6 28 a. Develop a linear trend equation for this time series. b. What is the forecast for t = 17?
Consider the following time series data. t 1 2 3 4 5 Yt 6 12 9 14 16 a. Which of the following is a correct time series plot for this data? time series plot #1 time series plot #2 time series plot #3 1. 2. 3. What type of pattern exists in the data? linear trend curvilinear trend horizontal b. Develop the linear trend equation for this time series (to 1 decimal). Tt = ___ + ____t c. What...
Consider the following time series. t 1 2 3 4 5 yt 5 11 8 14 15 (b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = Slope, b1 = MSE = (c) What is the forecast for t = 6? If required, round your answer to one decimal place.
Consider the following time series: Yt5 12 10 13 16 a. Choose the correct time series plot. (1) Times Series Value () Times Series Value Time period (t) 3 Times Scries (iv) Times Series Value Time periodo Time periodo (ii) Times Series Value Times Series Value Time period (1) Time periodo What type of pattern exists in the data? b. Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. Round...
Exhibit 18-2 Consider the following time series. Refer to Exhibit 18-2. The slope of linear trend equation, b1, is Refer to Exhibit 18-2. The intercept, b0, is Refer to Exhibit 18-2. The forecast for period 5 is Refer to Exhibit 18-2. The forecast for period 10 is Please if you can show work so I can understand along with equations. I have the answers already and am just working to see how I got those answers. For the following time...
2. Linear trend regression Aa Aa The U.S. Census Bureau collects data on the size and location of the houses that are constructed each year in the United States. The table and corresponding plot that follow show annual time series data on the mean square feet of floor space in new one-family houses in the Midwest. 2,400 2,300 Floor Space (Mean Square Feet) 2,200 2,100 2,000 1996 1998 2000 2002 2004 2006 2008 Year applicable to the time series because...
Time Series Regression (10 marks) The table below presents the number of students attending Statistics lectures in weeks 1 to 10 Week Number of students 1 90 2 82 3 75 4 70 5 59 6 51 7 48 8 40 9 41 10 35 Required: (a) Write down the estimated Linear Trend Regression equation. (5 marks ) (b) Use the estimated equation to forecast the number of students present in week 11. QUESTION 1 Time Series Regression (10 marks)...
Consider the following time series data. t 1 ය 6 11 2 4 5 Y 9 13 15 a. Which of the following is a correct time series plot for this data? 1. TimeSeries Value 14 -12 10 te 16 -4 F2 3 Time Period/t) 2. TimeSeries Value +14 +12 10 18 6 -4 1 3 Time Period (t) 3. TimeSeries Value F14 +12 10 18 6 -4 2 2 Time Period (t) - Select your answer. What type of...
Consider the following time series. t 1 23 4 5 6 7 Yt 83 60 45 36 31 30 34 a. Which of the following is the correct time series plot? TimeSeriesValue 90 80 70 60 50 40 20 10 TimePeriodit 2 I imeSeriesValue 90 80 70 60 50 40 20 10 2 TimePeriodit 3. TimeSeries Value 90 80 60 50 40 30 10 TimePeriodit 4 TimeSeries Value 90 80 70 60 50 40 30 10 2 TimePeriod t -...
Please use Excel Solver. Consider the following set of time series sales data for a growing company over the past 8 months: Month Sales 1 15 2 13 18 4 22 20 6 23 7 22 8 21 1. Construct a time series plot. What type of pattern exists? 2. Develop a forecast for the next month using the averaging method. 3. Develop a forecast for the next month using the naïve last-value method. 4. Develop a forecast for the...