(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.) (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Hg: bo = b, = b, = 0 H: One or more of the parameters is not equal to zero. O Ha: One or more of the parameters is not equal to zero. H: b, - b, - 0 O Ho: One or more of the parameters is not equal to zero. H,: bo = b, = b, = 0 O Ho: b, - b2 = 0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value - What is your conclusion? O Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho: We cannot conclude that the relationship is significant. O Reject H. We conclude that the relationship is significant. O Do not reject H. We conclude that the relationship is significant. (c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) |vehicles per hour

(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.) (b) Use a = 0.01 to test for a significant relationship. State the null and alternative hypotheses. O Hg: bo = b, = b, = 0 H: One or more of the parameters is not equal to zero. O Ha: One or more of the parameters is not equal to zero. H: b, - b, - 0 O Ho: One or more of the parameters is not equal to zero. H,: bo = b, = b, = 0 O Ho: b, - b2 = 0 H: One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value - What is your conclusion? O Reject H. We cannot conclude that the relationship is significant. O Do not reject Ho: We cannot conclude that the relationship is significant. O Reject H. We conclude that the relationship is significant. O Do not reject H. We conclude that the relationship is significant. (c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.) |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

100%

(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.)
(b) Use a = 0.01 to test for a significant relationship.
State the null and alternative hypotheses.
O Ho: bo = b, = b2 = 0
H: One or more of the parameters is not equal to zero.
O Hn: One or more of the parameters is not equal to zero.
H: b, = b, = 0
O H: One or more of the parameters is not equal to zero.
H: bo = b, = b2 = 0
O Ho: b, = b, = 0
H: One or more of the parameters is not equal to zero.
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value =
What is your conclusion?
O Reject H.. We cannot conclude that the relationship is significant.
O Do not reject H.. We cannot conclude that the relationship is significant.
O Reject H.. We conclude that the relationship is significant.
O Do not reject H.. We conclude that the relationship is significant.
(c) Base on the model predict the traffic flow in vehicles per hour at a speed of 38 miles per hour. (Round your answer to two decimal places.)
vehicles per hour

A highway department is studying the relationship between traffic flow and speed. The following model has been hypothesized:
y = B, + B,x + E
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
(x)
1,257
35
1,329
40
1,227
30
1,335
45
1,351
50
1,123
25
In working further with this problem, statisticians suggested the use of the following curvilinear estimated regression equation.
ý = bo + b,x + b,x?
(a) Develop an estimated regression equation for the data of the form ý = b, + b,x + b,x2. (Round b, to the nearest integer and b, to two decimal places and b, to three decimal places.)

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