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Correlation and regression calculator

Enter two data sets and this calculator will find the equation of the regression line and corelation coefficient. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.

Result

You entered the following data:

$$\begin{array}{c|cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc}X&95.42&95.88&93.05&94.58&98.22&99.65&98.75&100.21&97.02&96.48&95.85&97.44&95.66&96.99&94.71&98.66&95.32&95.00&90.65&88.41&87.02&86.05&82.78&81.52&79.81&80.40&79.53&80.25&79.72&81.40&80.19&80.66&80.26&80.32&82.14&81.54&83.38&83.40&81.81&83.17&82.00&79.23&79.87&80.16&79.99&80.03&81.22&82.71&81.75&83.13&78.85&79.14&78.79&79.42&80.52&78.49&76.31&79.08&74.17&74.04\\Y&48.91&49.10&45.92&38.34&33.75&33.62&37.04&41.65&46.59&45.09&49.20&47.12&59.47&60.30&59.63&47.60&49.76&48.24&53.27&66.15&80.54&91.16&95.96&98.17&105.37&102.71&99.74&101.58&102.59&97.49&98.42&92.72&96.38&102.33&107.65&105.03&96.56&91.97&93.46&97.23&92.05&97.49&91.82&88.91&86.24&92.19&96.49&88.06&84.96&86.53&104.87&103.02&107.07&98.48&98.83&100.36&93.19&79.20&88.81&95.70\end{array}$$

The equation of the regression line is:

$$y~=~328.01 ~-~ 2.895 \cdot x$$

The graph of the regression line is:

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Script name : correlation-and-regression-calculator

Imputed values: 95.42,95.88,93.05,94.58,98.22,99.65,98.75,100.21,97.02,96.48,95.85,97.44,95.66,96.99,94.71,98.66,95.32,95.00,90.65,88.41,87.02,86.05,82.78,81.52,79.81,80.40,79.53,80.25,79.72,81.40,80.19,80.66,80.26,80.32,82.14,81.54,83.38,83.40,81.81,83.17,82.00,79.23,79.87,80.16,79.99,80.03,81.22,82.71,81.75,83.13,78.85,79.14,78.79,79.42,80.52,78.49,76.31,79.08,74.17,74.04 , 48.91,49.10,45.92,38.34,33.75,33.62,37.04,41.65,46.59,45.09,49.20,47.12,59.47,60.30,59.63,47.60,49.76,48.24,53.27,66.15,80.54,91.16,95.96,98.17,105.37,102.71,99.74,101.58,102.59,97.49,98.42,92.72,96.38,102.33,107.65,105.03,96.56,91.97,93.46,97.23,92.05,97.49,91.82,88.91,86.24,92.19,96.49,88.06,84.96,86.53,104.87,103.02,107.07,98.48,98.83,100.36,93.19,79.20,88.81,95.70 , reg

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Correlation and Regression Calculator
0 1 2 3 4 5 6 7 8 9 . , del
Use data grit to input x and y values
Find the equation of the regression line
Find the corelation coefficient
Show me an explanation
examples
example 1:

Consider the following set of points: ${(-3 , -4), \, (2 , 3), \, (7 , 11)}$

a) Find the regression line for the given data points.

b) Plot the given points and the regression line.

example 2:

The values of $X$ and their corresponding values of $Y$ are shown in the table below:

$$ \begin{array}{c|ccccc} X & ~1~ & ~2~ & ~3~ & ~4~ & ~5 \\ Y & ~4~ & ~8~ & ~9~ & ~11~& ~16 \end{array} $$

Find a Pearson correlation coefficient.

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