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?

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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?
Transcribed Image Text: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?
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