According to the nutrition research, recommendation on the consumption of fiber for children and teenagers is the following ( y is theamount of fiber per day (in grams), x is the age):y 21 24 26 28 29 33 | 38 43 442468 10 12| 14 16 | 18X0.1. Can you conclude that the model specifies a(a) Test for the significance of regression using the analysis of variance with a =useful linear relationship between these two variables?Weconclude that the model specifies a useful linear relationship at a = 0.1.(b) Estimate o?.Round your answer to three decimal places (e.g. 98.765).2%D(c) Estimate the standard error of the slope and intercept in this model.Round your answers to three decimal places (e.g. 98.765).se( B1)ise( B o) =i

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Answered: According to the nutrition research,…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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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?
The commercial division of a real estate firm is conducting a regression analysis of the relationship between X , annual gross rents (in thousands of dollars), and y , selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. The regression equation is Y=20.2+7.25X Predictor Coef SE Coef T Constant 20.000 3.2213 6.21 X Analysis of Variance SOURCE DF SS Regression 1 41,587.4 Residual Error 7 Total 8 51,984.2 d. Use the F statistic to test the significance of the relationship at a .05 level of significance. Compute the F test statistic (to 2 decimals). What is the P-value? P-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 7 What is your conclusion? - Select your answer -Cannot conclude that the selling price is related to annual gross rents.Conclude…
The commercial division of a real estate firm is conducting a regression analysis of the relationship between X , annual gross rents (in thousands of dollars), and y , selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. The regression equation is Y=20.2+7.25X Predictor Coef SE Coef T Constant 20.000 3.2213 6.21 X Analysis of Variance SOURCE DF SS Regression 1 41,587.4 Residual Error 7 Total 8 51,984.2 e. Predict the selling price of an apartment building with gross annual rents $60,000 of (to 1 decimal). $ thousands.
The commercial division of a real estate firm is conducting a regression analysis of the relationship between X , annual gross rents (in thousands of dollars), and y , selling price (in thousands of dollars) for apartment buildings. Data were collected on several properties recently sold and the following computer output was obtained. The regression equation is Y=20.2+7.25X Predictor Coef SE Coef T Constant 20.000 3.2213 6.21 X Analysis of Variance SOURCE DF SS Regression 1 41,587.4 Residual Error 7 Total 8 51,984.2 a. How many apartment buildings were in the sample? b. Write the estimated regression equation (to 2 decimals if necessary). c. Use the t statistic to test the significance of the relationship at a .05 level of significance. What is the p-value? Use Table 1 of Appendix B. p-value is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 4 What is your…

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