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- Depreciation Once a new car is driven away from the dealer, it begins to lose value. Each year, a car loses 10% of its value. This means that each year the value of a car is 90% of the previous year’s value. If a new car was purchased for $20,000, the value at the end of the first year would be $20000(0.90) and the value of the car after the end of the second year would be $20000(0.90)2. Complete the table shown below. What will be the value of the car at the end of the eighth year? Simplify the expression, to show the value in dollars.Using the time series data in the table, respond to the following items. Period Sales 1 $ 615 2 676 3 761 4 710 5 784 6 801 7 852 8 698 9 1,193 10 1,115 11 1,231 12 1,259 13 1,495 14 1,229 15 1,652 16 1,337 17 1,673 18 1,613 Please show work, thanks.Analyse the time series of the following supermarket sales data and present the results in graphical form, including a forecast for the daily sales in week 5. Supermarket sales (K000) for a particular period Week 1 Week 2 Week 3 Week 4 Monday 22 22 24 26 Tuesday 36 34 38 38 Wednesday 40 42 43 45 Thursday 48 49 49 50 Friday 61 58 62 64 Saturday 58 59 58 58
- Construct a time-series plot for the following number of customers shopping at a new mall during a given week. Day Number of Customers Monday Tuesday Wednesday Thursday Friday Saturday 525 540 469 500 586 640The table shows the U.S. population and the number of Americans over age 65 at 10-year intervals since 1940 (about when the Social Security program was created). YEAR 1940 1950 1960 1970 1980 1990 2000 2010 U.S. Population (millions) 132 151 179 203 227 249 281 309 Americans over age 65 (millions) 9.0 12.7 17.2 20.9 26.1 31.9 34.9 40.4 a) What is the percentage increase in the U.S. population between 1940 and 2010? b) What is the percentage increase in the over-65 population between 1940 and 2010? c) In 2010, there were approximately 165 million Americans of working age (25-65). Estimate (Assume ½ of this population is working), the number of people who were actually working and contributing to Social Security in 2010. Compare this number to the over-65 population. d) How do these results affect the future of programs such as Social Security and Medicare? PART 2 – Growth: Linear versus Exponential Lab 5. Based on information in Deep River Jim’s…The table below contains the average price paid for a new home in a certain area from 2000 to 2010. a. Construct a time-series plot of new home prices. b. What pattern, if any, is present in the data? Year Average_Price_($_thousands)2000 351.12001 330.52002 310.52003 296.72004 229.72005 182.32006 154.52007 156.32008 154.72009 154.52010 154.5
- The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Find a 99% CI for β1.The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .
- Stem-and-Leaf DisplayN = x Leaf Unit = 1.05 2 3344411 2 668899(14) 3 00112223344444y 3 5677889912 4 00023445 4 66789 b) The table below is based on the Stem and leaf diagrams showing dividend yields ($) for common stocks. Dividend Yielded ($) Frequency 20-24 5 25-29 6 30-34 14 35-39 x 40-44 7 45-49 5 i. Use the stem and leaf diagram in above to determine the value of x. ii. Using the table above to calculatea) the sample mean of the dataset. b) the mode of the dataset. c) the sample variance of the dataset.The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days $Receipts 14 33.111 28 14.666 42 5.587 56 2.95 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Find the average rate of change of the daily receipts from day 56 to day 84.The following sum