An agribusiness performed a regression of wheat yield (bushels per acre) using observations on 28 test plots with four predictors (rainfall, fertilizer, soil acidity, hours of sun). The standard error was 1.04 bushels. (a) Find the approximate width of a 95% prediction interval for wheat yield. (Round your answer to 2 decimal places.) (b) Find the approximate width using the quick rule. (Round your answer to 2 decimal places.)

An agribusiness performed a regression of wheat yield (bushels per acre) using observations on 28 test plots with four predictors (rainfall, fertilizer, soil acidity, hours of sun). The standard error was 1.04 bushels. (a) Find the approximate width of a 95% prediction interval for wheat yield. (Round your answer to 2 decimal places.) (b) Find the approximate width using the quick rule. (Round your answer to 2 decimal places.)

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter4: Graphing And Inverse Functions

Section: Chapter Questions

Problem 6GP: If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use...

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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?
If your graphing calculator is capable of computing a least-squares sinusoidal regression model, use it to find a second model for the data. Graph this new equation along with your first model. How do they compare?
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