Solve the following statistical problems using regression analysis.1. 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. Eyi = 12.75,Eyi? = 8.86. ri = 1478. E ci? = 143, 215.80, and riyi = 1083.67.(a) Calculate the least squares estimates of the slope and intercept. Graph the regression line.(b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85F.(c) What is the mean pavement deflection when the surface temperature is 90F?

a) Use given information as-x=∑xin=147820=73.9y=∑yin=12.7520=0.6375 Then, the least square estimate…

Solve the following statistical problems using regression analysis. 1. 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. yi = 12.75 Eyi² = 8.86. Exi = 1478. E xi² = 143, 215.80. and Exiyi = 1083.67. (a) Calculate the least squares estimates of the slope and intercept. Graph the regression line. (b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85F. (c) What is the mean pavement deflection when the surface temperature is 90F?

Solve the following statistical problems using regression analysis. 1. 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. yi = 12.75 Eyi² = 8.86. Exi = 1478. E xi² = 143, 215.80. and Exiyi = 1083.67. (a) Calculate the least squares estimates of the slope and intercept. Graph the regression line. (b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85F. (c) What is the mean pavement deflection when the surface temperature is 90F?

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 33EQ

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