QUESTION 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
20
20
20
\sum_{i=1}^{20} x_i = 1463.7, \sum_{i=1}^{20} y_i = 12.741, \sum_{i=1}^{20} x_i^2 = 107244.97, \sum_{i=1}^{20} y_i^2 = 8.119 and \sum_{i=1}^{20} xy = -932.863
$S_{xy} = 0.412915$
$S_{xx} = 124.0855$ $S_{yy} = 0.002346$
h. Estimate the standard errors of the slope.
i. Estimate the standard errors of the intercept.
j. Find a 99% confidence interval on each of the following:
1. Slope,
to
2. Intercept,
to
3. Mean deflection when temperature x = 85°,
to
k. Find a 99% prediction interval on pavement deflection when the temperature is 90°F.
to