Implicitly applying regression to the sample data. (Note that the limits of the summation, which are i to n,Īnd the summation indices on x and y have been omitted.) With n data points, the slope, y-intercept and correlation coefficient, r, To the data and determine these constants. It is not necessary for us to plot the data in order to If we expect a set of data to have a linear correlation, (ValuesĬlose to 1 indicate excellent linear reliability.))Įnter your data as we did in columns B and C. The linear relationship between the x and y values. Or R, the correlation coefficient gives us a measure of the reliability of Statistical texts show the correlation coefficient as " r", butĮxcel shows the coefficient as " R". Recall that the R-squared value is the square of the correlation coefficient. Trendline and display its slope, y-intercept Let's enter the above data into an Excel spread sheet,
We can then find the slope, m, and y-intercept, b,įor the data, which are shown in the figure below.
Of course, this relationship is governed by the familiar equation We can plot the data and draw a "best-fit" straight line through the data. There exists a linear relationship between the variables x and y, You may also wish to take a look at how we analyzed actual (See our Tutorial Page for more information about
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