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9.2A- Linear Regression Regression Line = Line of best fit The line for which the sum of the squares of the residuals is a minimum Residuals (d) = distance.

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Presentation on theme: "9.2A- Linear Regression Regression Line = Line of best fit The line for which the sum of the squares of the residuals is a minimum Residuals (d) = distance."— Presentation transcript:

1 9.2A- Linear Regression Regression Line = Line of best fit The line for which the sum of the squares of the residuals is a minimum Residuals (d) = distance a data point is away from the line

2 Finding the Line of best fit in Algebra

3 Find the Equation of the Regression Line with Statistics

4 Example: X 2.4 1.6 2 2.6 1.4 1.6 2 2.2 Y 225 184 220 240 180 184 186 215 XYxyx²y² 2.42255405.7650,625 1.6184294.42.5633,856 2220440448,400 2.62406246.7657,600 1.41802521.9632,400 1.6184294.42.5633,856 2186372434,596 2.22154734.8446,225 Σx=15.8Σy=1634Σxy=3289.8Σx²=32.44Σy²=337,558

5 Example; continued

6 Example Continued m= 50.7287 b=104.0608 y=mx+b y=50.729x + 104.061 (rounded to 3 places)

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