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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Use the set of points to compute the following. The slope of the regression line for this data is computed to be b, =0.1369762, and the standard error of b, is
computed as sS,=0.1179499.
14
18
3
17
15
6
12
y
10
12
9.
10
14
11
10
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Part: 0 / 3
Part 1 of 3
Find the critical value for a 99% confidence interval for
and round the answer to three decimal places.
The critical value for a 99% confidence interval is

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The following estimated regression equation is based on 10 observations was presented. ŷ = 29.1270 + 0.5906x1 + 0.4980x2 Here SST = 6,871.500, SSR = 6,526.625 , si, = 0.0762, and Si, = 0.0612. a. Compute MSR and MSE (to 3 decimals). MSR MSE = b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F The p-value is between 0.025 and 0.05 At a = 0.05, the overall model is not significant c. Perform at test for the significance of B1 (to 2 decimals). Use a = 0.05. Use the t table. The p-value is between 0.02 and 0.05 v At a = 0.05, there is not a significant relationship between y and 01. d. Perform a t test for the significance of B2 (to 2 decimals). Use a = 0.05. Use the t table. The p-value is between 0.01 and 0.02 v At a = 0.05, there is not a significant v relationship between y and x2.
The following data on price () and the overall score for 6 stereo headphones that were tested by Consumer Reports were as follows. The estimated regression equation for these data is = 22.176 + 0.33z. Brand Price Score Bose 190 78 Scullcandy 150 Koss 95 62 "Phillips/O'Neill 70 58 Denon 80 40 JVC 45 26 a. Does the t test indicate a significant relationship between price and the overall score? Compute the value of the t test statistic. Use & = 0.05 t- (to 2 decimal places.) Use Table 2 of Appendix B to find the p-value. The p-value is- Select your answer What is your condlusion? Use O = 0.05. - Select your answer- b. Test for a significant relationship using the F test. Use Table 4 of Appendix B. P-value is- Select your answer What is your conclusion? Use O =0.05 Because p-value is- Select your answer- v 0.05, we - Select your answer - V Ho : B Select your answer- c. Show the ANOVA table for these data. Round your answers to three decimal place, if necessary. Do not round internsiediate…
In the following case find the best predicted value of y given the following: x = 3.00, r = 0.052 (p-value = 0.85), y (bar)= 5.00, n = 20 and the equation of the regression line is: y (hat) = 6.00 + 4.00x
Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is ŷ = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 0.9726 b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 1.90 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 What is your conclusion (a = 0.05)? Xj Yi Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). 3.63 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 What is your conclusion? Cannot conclude a significant relationship exists between x and y 2 7 6 18 9 13 9 20 26 23
The following estimated regression equation based on 10 observations was presented. = 29.1240 + 0.5906x, + 0.4580x2 The values of SST and SSR are 6,721.125 and 6,215.375, respectively. (a) Find SSE. SSE = (b) Compute R2. (Round your answer to three decimal places.) R2 = (c) Compute R. (Round your answer to three decimal places.) R. %3D (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. The estimated regression equation did not provide a good fit as…
Please help me on Part E
Q. 5 Your doc Dr. Zion measures the relationship between two variables X (exam anxiety) and Y (performance) and obtained the following interval scores: Participant Y 1 10 2. 3. 6. 11 4. 6. 6. 3 9. 10 1 a. Determine the regression equation. b. How are the size of r and the size of the standard error of the estimate related? 7654574564
8. For the following data: a. Find the regression equation for predicting Y from X. b. Calculate the Pearson correlation for these data. Use r and SS, to compute SS standard error of estimate for the equation. and the residual Y 3 3 6. 9. 8 4 3 7 10 9.
Calculate the co-efficient of correlation and obtain the least square regression lines for the following data : 3 x: . 1 2 4 5 6 7 8 9 у: 8 10 12 11 13 14 16 15 Also obtain an estimate of y which should correspond on the average to x = 6.2.
There is a relationship between the following variables as y = a + b * (1 / x).Determine the regression coefficients (a and b) of the regression equation.Calculate the correlation coefficient and interpret the degree of correlation by comparing the calculated correlation coefficient with the critical correlation coefficient for 1% significance level, taking into account the number of data. Estimate the y-value for x = 0.8 and the x-value for y = 3.5 x 0,58 0,5 0,32 0,18 0,15 0,1 y 1,2 1,5 2 3 4 5
Given are five observations for two variables, and y. Excel File: data14-25.xlsx The estimated regression equation is ŷ = 7.6 +0.9x. a. What is the value of the standard error of the estimate (to 4 decimals)? 0.9726 b. Test for a significant relationship by using the t test. Use a = 0.05. What is the value of the t test statistic (to 2 decimals)? 1.90 What is the p-value? Use Table 2 of Appendix B. between 0.10 and 0.20 What is your conclusion (a = 0.05)? Xj Yi Cannot conclude a significant relationship exists between x and y c. Use the F test to test for a significant relationship. Use a = 0.05. Compute the value of the F test statistic (to 2 decimals). 3.63 What is the p-value? Use Table 4 of Appendix B. greater than 0.10 What is your conclusion? Cannot conclude a significant relationship exists between x and y 2 7 6 18 9 13 9 20 26 23
The least-square regression line for the given data is y = 0.449x - 30.27. Determine the residual of a data point for which x = 98 and y = 15, rounding to three decimal places. Temperature, x Number of absences, y OA. 28.732 B. 1.268 C. 121.535 O D. 13.732 72 3 85 7 91 10 90 10 88 98 75 100 80 8 15 4 15 5

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