Question: 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

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, Σyi = 12.75, Σy2/i 8.86, Σxi = 1478, Σx2/i 143,215.8, and Σxiyi = 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 85oF.
(c) What is the mean pavement deflection when the surface temperature is 90oF?
(d) What change in mean pavement deflection would be expected for a 1oF change in surface temperature?

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