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, Σy = 12.75, Σy = 8.86, Σ.x = 1478, Σx = 143,215.8, and Σxy = 1083.67. (a) Calculate the least squares estimates of the slope and inter- cept. Graph the regression line. Estimate o². (b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85°F. (c) What is the mean pavement deflection when the surface temperature is 90°F?
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, Σy = 12.75, Σy = 8.86, Σ.x = 1478, Σx = 143,215.8, and Σxy = 1083.67. (a) Calculate the least squares estimates of the slope and inter- cept. Graph the regression line. Estimate o². (b) Use the equation of the fitted line to predict what pavement deflection would be observed when the surface temperature is 85°F. (c) What is the mean pavement deflection when the surface temperature is 90°F?
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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Transcribed Image Text: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 weren = 20, Σy = 12.75, Σy = 8.86, Σx; = 1478,
Σx = 143,215.8, and Σ.xy; = 1083.67.
(a) Calculate the least squares estimates of the slope and inter-
cept. Graph the regression line. Estimate o².
(b) Use the equation of the fitted line to predict what pavement
deflection would be observed when the surface temperature
is 85°F.
(c) What is the mean pavement deflection when the surface
temperature is 90°F?
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