Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature(x) and pavement deflection (y). Summary quantities were n = 20, Σ y; = 12.75, Σ y² = 8.86, Σ x; = 1478,Σ x = 143215.8, and Exiy; = 1083.67.Find a 95.00% confidence interval on each of the following:(a) Slope.[i -0.00610(b) Intercept.[i -0.745ii0.014501.405(c) Mean deflection when temperature x = 85 °F.[i-0.742i 0.796i] (Round your answers to 5 decimal places.)3.514] (Round your answers to 3 decimal places.)(d) Find a 95.00% prediction interval on pavement deflection when the temperature is 85 °F.[i-3.460] (Round your answers to 3 decimal places.)] (Round your answers to 3 decimal places.)

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Answered: Regression methods were used to analyze…

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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In the following case find the best predicted value of y given the following: x = 2.00, r = -0.123 (p-value = 0.62), y (bar)= 8.00, n = 30 and the equation of the regression line is: y (hat) = 7.00 - 2.00x
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
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A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 7; Mx = 3 What is b equal to (Please include the sign: e.g., -20)? What is a equal to (please include the sign: e.g., +4.0)? Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?
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Question #6 Listed below are altitudes (thousands of feet) and outside air temperatures (°F) recorded during a flight. Find the (a) explained variation, (b) unexplained variation, and (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear correlation, so it is reasonable to use the regression equation when making predictions. For the prediction interval, use a 95% confidence level with the altitude of 6327 ft (or 6.327 thousand feet). Altitude 4 8 14 24 27 31 32 Temperature 55 37 20 −5 −27 −41 −57 a. Find the explained variation. ______________ (Round to two decimal places as needed.) b. Find the unexplained variation. _______________ (Round to five decimal places as needed.) c. Find the indicated prediction interval. _____________°F < y < ____________ °F (Round to four decimal places as needed.)
Pls answer within 30 minutes to 1hr.
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
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