For the following exercise, consider the stock market crash in 1929 in the United States. The table lists the Dow Jones industrial average per year leading up to the crash.
Years after 1920 | Value($) |
1 | 63.90 |
3 | 100 |
5 | 110 |
7 | 160 |
9 | 381.17 |
Source: http://stockcharts.com/freecharts/historical/ djia19201940.html
458. [T] The best-fit exponential curve to these data is given by
Trending nowThis is a popular solution!
Chapter 6 Solutions
Calculus Volume 1
Additional Math Textbook Solutions
Calculus Volume 2
Introductory Statistics
Probability and Statistics for Engineers and Scientists
Finite Mathematics & Its Applications (12th Edition)
Mathematics All Around (6th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
- For the following exercises, refer to Table 11. Graph the logistic equation on the scatter diagram.arrow_forwardFor the following exercises, use the median home values in Indiana and Alabama (adjusted for inflation) shown in Table 3. Assume that the house values are changing linearly. If these trends were to continue, what would be the median home value in Indiana in 2010?arrow_forwardFor the following exercises, consider this scenario: The median home values in subdivisions Pima Central and East Valley (adjusted for inflation) are shown in Table 1. Assume that the house values are changing linearly. If these trends were to continue, what would be the median home value in Pima Central in 2015?arrow_forward
- For the following exercises, refer to Table 8. Graph the exponential equation on the scatter diagram.arrow_forwardFor the following exercises, refer to Table 10. Use the LOGarithm option of the REGression feature to find a logarithmic function of the form y=a+bln(x) that best fits the data in the table.arrow_forwardJerome invests $18,000 at age 17. He hopes the investments will be worth $30,000 when he turns 26. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Is that a reasonable expectation?arrow_forward
- Enter the data from Table 2 into a graphing calculator and graph the ranking scatter plot. Determine whetherthe data from the table would likely represent a function that is linear, exponential, or logarithmic.arrow_forwardThe fox population in a certain region has an annualgrowth rate of 9 per year. In the year 2012, therewere 23,900 fox counted in the area. What is the foxpopulation predicted to be in the year 2020 ?arrow_forwardWith what kind of exponential model would doubling time be associated? What role does doubling time play in these models?arrow_forward
- The table below shows the closing monthly stock prices for Penn Company and Teller, Incorporated. Calculate the exponential three month moving average for both stocks where two-thirds of the average weight is placed on the most recent price, table is in picturearrow_forwardFor the data given, use the arithmetic average of the first six months of data as a baseline to initialize the exponential smoothing.a. Determine the one-step-ahead exponential smoothing forecasts for Augustthrough December, assuming a = .20.b. Compare the accuracy of the forecasts obtained in part (a) with the one-stepahead six-month moving-average forecasts determined in the problem below.c. Comment on the reasons for the result you obtained in part (b). Compute the one-step-ahead three-month and six-month moving-average forecasts for July through December. What effect does increasing N from 3 to 6 have on the forecasts?arrow_forwardThe data below is hurricane Irma’s wind speeds at the Key West Airport starting at midnight on September 10, 2017. h, hours since midnight 6 9 12 24 36 44 W, wind speed in mph 140 140 80 48 30 29 1) Assuming the linear trend continues, predict how long it will take for the wind speed to be 85 mph. Round to two decimal places. 2) Assuming the exponential trend continues, predict how long it will take for the wind speed to be 85 mph. Round to two decimal places. 3) Compare both of the predicted times for the wind speed to drop to 85 mph with the original data. Which model predicts the time best? Explain why giving specific details. 4)According to the exponential model, what will the wind speed be after 20 hours? Round to two decimal places.arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill