The owners of a chain of ice cream stores have the business objective of improving the forecast of daily sales so that staffing shortages can be minimized during the summer season. As a starting point, the owners decide linear regression model to predict daily sales based on atmospheric temperature. They select a sample of 15 consecutive days. The results are shown in the accompanying table. Complete parts (a) through (f) below. E Click the icon to view the data table. develop a simple Click the icon to view a table of critical values of the Durbin-Watson statistic. ... a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients b, and b,. b, = (Round to four decimal places as needed.) - X Ice cream sales Day Sales ($1,000) Temperature (°F) 1.52 63 71 2 3 1.68 1.92 75 1.79 2.02 2.36 2.16 2.69 74 76 81 81 7 84 9 10 11 12 13 2.91 88 3.17 90 3.02 3.27 3.42 2.84 2.54 90 93 99 88 83 14 15 Print Done

The owners of a chain of ice cream stores have the business objective of improving the forecast of daily sales so that staffing shortages can be minimized during the summer season. As a starting point, the owners decide linear regression model to predict daily sales based on atmospheric temperature. They select a sample of 15 consecutive days. The results are shown in the accompanying table. Complete parts (a) through (f) below. E Click the icon to view the data table. develop a simple Click the icon to view a table of critical values of the Durbin-Watson statistic. ... a. Assuming a linear relationship, use the least-squares method to compute the regression coefficients b, and b,. b, = (Round to four decimal places as needed.) - X Ice cream sales Day Sales ($1,000) Temperature (°F) 1.52 63 71 2 3 1.68 1.92 75 1.79 2.02 2.36 2.16 2.69 74 76 81 81 7 84 9 10 11 12 13 2.91 88 3.17 90 3.02 3.27 3.42 2.84 2.54 90 93 99 88 83 14 15 Print Done

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
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