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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:

$$\begin{array}{c|cccccccccccccccccccccccccccccccccccc}X&48.91&49.10&45.92&38.34&33.75&33.62&37.04&41.65&46.59&45.09&49.20&47.12&59.47&60.30&59.63&47.60&49.76&48.24&53.27&66.15&80.54&91.16&95.96&98.17&105.37&102.71&99.74&101.58&102.59&97.49&98.42&92.72&96.38&102.33&107.65&105.03\\Y&95.42&95.88&93.05&94.58&98.22&99.65&98.75&100.21&97.02&96.48&95.85&97.44&95.66&96.99&94.71&98.66&95.32&95.00&90.65&88.41&87.02&86.05&82.78&81.52&79.81&80.40&79.53&80.25&79.72&81.40&80.19&80.66&80.26&80.32&82.14&81.54\end{array}$$The equation of the regression line is:

$$y~=~109.182 ~-~ 0.279 \cdot x$$The graph of the regression line is:

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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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