A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? where y = traffic flow in vehicles per hour x= vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (2) 1257 36 1330 40 1227 30 1335 45 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized. ŷ = bo + bịz + by z? where y = traffic flow in vehicles per hour x= vehicle speed in miles per hour The following data were collected during rush hour for six highways leading out of the city. Traffic Flow (y) Vehicle Speed (2) 1257 36 1330 40 1227 30 1335 45 1349 55 1124 25 a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the z variable first using Data/Transform Data/Square.) bo %3! b. Using a = 0.01, test for a significant relationship. F = (to 4 decimals) P-value = (to 4 decimals) The relationship- Select your answer -v significant. c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals). vehicles per hour

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized.
ŷ = bo + bịz + by z?
where
y = traffic flow in vehicles per hour
x= vehicle speed in miles per hour
The following data were collected during rush hour for six highways leading out of the city.
Traffic Flow (y)
Vehicle Speed (2)
1257
36
1330
40
1227
30
1335
45
1349
55
1124
25
a. Use the data to compute the coefficients of this estimated regression equation (to 4 decimals). Enter negative value as negative number. (Create the z
variable first using Data/Transform Data/Square.)
bo
%3!
b. Using a =
0.01, test for a significant relationship.
F =
(to 4 decimals)
P-value =
(to 4 decimals)
The relationship- Select your answer -v significant.
c. Estimate the traffic flow in vehicles per hour at a speed of 39 miles per hour (to 2 decimals).
vehicles per hour

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