# Statistics Tutoring Ex. Linear Regression Regents

Do you know how to calculate linear regression by heart? If you do not, this post will help you enter this data in a calculator and successfully produce the correct linear regression equation.

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Hit STAT — > EDIT– > EDIT You should See lists. Enter the data for the x values into the first list, and the data for the y values for the second list.

Hit STAT — > CALC — > Scroll down to choice 4. LinReg(ax+b) and hit enter.

This produces a Linear Regression equation with a=1.9 b= 29.79, r^2 =0.113

R = 0.337

Y= 1.917 X + 29.79 —– Linear Regression Equation

Y= 1.9X + 29.8 —– Linear Regression Equation rounded to the nearest tenth

What do the R and R^2 values mean in statistics?

R squared – the STRENGTH of Association.

R- how LINEAR the association is and DIRECTION.

**Exactly**–A perfect downhill (negative) linear relationship- –
**70.**A strong downhill (negative) linear relationship - –
**50.**A moderate downhill (negative) relationship - –
**30.**A weak downhill (negative) linear relationship - No linear relationship
**+0.30.**A weak uphill (positive) linear relationship**+0.50.**A moderate uphill (positive) relationship**+0.70.**A strong uphill (positive) linear relationship**Exactly +1.**A perfect uphill (positive) linear relationship

Ref:s

https://www.dummies.com/education/math/statistics/how-to-interpret-a-correlation-coefficient-r/

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