Regression methods were used to analyze thedata from a study investigating the relationshipbetween roadway surface temperature (x) andpavement deflection (v). Summary quantitieswere2020202020Σx 1478 , Σy- 12.75, Σ x-1432 15.8 , Σ.-8.86 and Σ xy 1083.67n=1n=1n=1n=1n=1 f. What proportion of variation in thepavement deflection is explained by thevariation in the surface temperature?g. Test for significance of regression using a= 0.05.1. What is the teststatistics.2. What is the criticalvalue.3. What conclusions canyou draw?4. Find the p-value for thistest.h. Estimate the standard errors of the slope.i. Estimate the standard errors of theintercept.

Given Information : Regression method are used to analyze the data from a study investigating the…

Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection (v). Summary quantities were 20 20 20 20 20 Σx-1478 , Σν-12.75, Σx-1432 15.8, Σ,- 8.86 and Σ xy 1083.67 n=1 n=1 n=1 n=1 n=1

Regression methods were used to analyze the data from a study investigating the relationship between roadway surface temperature (x) and pavement deflection (v). Summary quantities were 20 20 20 20 20 Σx-1478 , Σν-12.75, Σx-1432 15.8, Σ,- 8.86 and Σ xy 1083.67 n=1 n=1 n=1 n=1 n=1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

Regression methods were used to analyze the
data from a study investigating the relationship
between roadway surface temperature (x) and
pavement deflection (v). Summary quantities
were
20
20
20
20
20
Σx 1478 , Σy- 12.75, Σ x-1432 15.8 , Σ.-8.86 and Σ xy 1083.67
n=1
n=1
n=1
n=1
n=1

f. What proportion of variation in the
pavement deflection is explained by the
variation in the surface temperature?
g. Test for significance of regression using a
= 0.05.
1. What is the test
statistics.
2. What is the critical
value.
3. What conclusions can
you draw?
4. Find the p-value for this
test.
h. Estimate the standard errors of the slope.
i. Estimate the standard errors of the
intercept.

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