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...

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

_i
= 12.75,
= 8.86, Σx

_i
= 1478,
 = 143,215.8, and gx

_i

y

_i
= 1083.67.

 Find a 99% confidence interval on each of the following:

(a) Slope

(b) Intercept

(c) Mean deflection when temperature x = 85°F

(d) Find a 99% prediction interval on pavement deflection when the temperature is 90°F.