Write your complete solutions and box your answers. 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 Σ.xy; = 1083.67. (a) What change in mean pavement deflection would be expected for a 1°F change in surface temperature? (b) Test for significance of regression using a = 0.05. Find the (c) P-value for this test. What conclusions can you draw? Estimate the standard errors of the slope and intercept.

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Write your complete solutions and box your answers.
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 Σ.xy = 1083.67.
(a) What change in mean pavement deflection would be
expected for a 1°F change in surface temperature?
(b) Test for significance of regression using a = 0.05. Find the
(c) P-value for this test. What conclusions can you draw?
Estimate the standard errors of the slope and intercept.
Transcribed Image Text:Write your complete solutions and box your answers. 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 Σ.xy = 1083.67. (a) What change in mean pavement deflection would be expected for a 1°F change in surface temperature? (b) Test for significance of regression using a = 0.05. Find the (c) P-value for this test. What conclusions can you draw? Estimate the standard errors of the slope and intercept.
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