SOCR Events May2008 C9 S1

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SOCR May 2008 Event - Analyze bivariate data using linear regression methods

Fit regression lines to pairs of numeric variables and calculate the means and standard deviations of the two variables and the correlation coefficient, using technology

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SOCR Events May2008 C9 S1 Dinov 020808 Fig2.jpg
  • Map the Heights and Weights columns to the X and Y variables.
SOCR Events May2008 C9 S1 Dinov 020808 Fig3.jpg
  • Click CALCULATE and see the output numerical results (in the Results tab) and the graphical outputs (in the Graphs tab).
SOCR Events May2008 C9 S1 Dinov 020808 Fig4.jpg SOCR Events May2008 C9 S1 Dinov 020808 Fig5.jpg

Compute predictions of y-values for given x-values using a regression equation, and recognize the limitations of such predictions

The regression line we computed and illustreted on the image above shows the following linear relation between Heights (inches) and Weights (pounds):

\(Height = 56.457 + 0.09033384003691448\times Weight\)

What would be the regression of the Weight on Height (the reverse regression)? You can compute this by hand to be

\(Weight = -105.959 + 3.431662594473845\times Height\)

. Or you can

simply re-maps (swap) the dependent and independent variables in SOCR Analysis (Simple Linear Regression) and recalculate the linear relation.

SOCR Events May2008 C9 S1 Dinov 020808 Fig6.jpg

Compute and use the standard error for regression

References



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