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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

          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

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
∑i=1^20 xi = 1463.7, ∑i=1^20 yi = 12.741, ∑i=1^20 xi^2 = 107244.97, ∑i=1^20 yi^2 = 8.119 and ∑i=1^20 xy = -932.863
Sxy = 0.412915
Sxx = 124.0855 Syy = 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

Added by Travis D.

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