The following data chart shows the world record times for the 200 m race for flying start machines ( a kind of bicycle) Year Record Time (sec) 1974 10.4 10.0 1975 1976 9.4 1977 1979 1985 9.1 8.8 7.2 1986 6.8 1992 6.5 4. How would you describe the correlation between Year and World Record Times? 5. What is the equation of the line of best fit? 6. What is the slope of the line of best fit? 7. Why is the slope a negative slope? 8. Using the equation of the line, calculate the actual world record time set in 1988.

The following data chart shows the world record times for the 200 m race for flying start machines ( a kind of bicycle) Year Record Time (sec) 1974 10.4 10.0 1975 1976 9.4 1977 1979 1985 9.1 8.8 7.2 1986 6.8 1992 6.5 4. How would you describe the correlation between Year and World Record Times? 5. What is the equation of the line of best fit? 6. What is the slope of the line of best fit? 7. Why is the slope a negative slope? 8. Using the equation of the line, calculate the actual world record time set in 1988.

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

The following data chart shows the world record times for the 200 m race for
flying start machines ( a kind of bicycle)
Year
Record Time (sec)
1974
10.4
10.0
1975
1976
9.4
1977
1979
1985
9.1
8.8
7.2
1986
6.8
1992
6.5
4. How would you describe the correlation between Year and World Record Times?
5. What is the equation of the line of best fit?
6. What is the slope of the line of best fit?
7. Why is the slope a negative slope?
8. Using the equation of the line, calculate the actual world record time set in 1988.

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