1. Graph the values on a scatter plot, where year is the x-vale and record time (in seconds) is the y-value. Label both axes. 2. Discuss the following in paragraph form: Does the scatter plot show a positive correlation, negative correlation, or no correlation? Does the correlation appear to be linear, quadratic, or exponential? How do you enter the data set in the calculator? After entering the data, how do you find the equation for the line of best fit? Give an example of interpolation for the data set and show how you would calculate the record time. Give an example of extrapolation for the data set and show how you would calculate the record. time. How would introducing a new data point (year 1982, record time 8 seconds) affect your line of best fit?
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.
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![The following chart shows the world record times for the 200 m race for flying start machines (a
kind of bicycle).
Year
Record Time (in seconds)
1974
10.4
1975
10.0
1976
1977
9.4
9.1
1979
8.8
1985
7.2
1986
6.8
1992
6.5
1. Graph the values on a scatter plot, where year is the x-vale and record time (in seconds) is
the y-value. Label both axes.
2. Discuss the following in paragraph form: Does the scatter plot show a positive
correlation, negative correlation, or no correlation? Does the correlation appear to be
linear, quadratic, or exponential? How do you enter the data set in the calculator? After
entering the data, how do you find the equation for the line of best fit? Give an example
of interpolation for the data set and show how you would calculate the record time. Give
an example of extrapolation for the data set and show how you would calculate the record
time. How would introducing a new data point (year 1982, record time 8 seconds) affect
your line of best fit?
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