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Joopy and Woodstockl worked together on a data analysis project for a research course. Their data set had two variables, ( X ) and (

Joopy and Woodstockl worked together on a data analysis project for a research course. Their data set had two variables, \\( X \\) and \\( Y \\). For each variable, they calculated the mean and the standard deviation ( \\( S_{X} \\) and \\( S_{Y} \\) ). They then used these to calculate the correlation coefficient, \\( r \\), and the coefficients of the regression line (regressing \\( Y \\) on \\( X \\) )the intercept \\( a \\) and the slope \\( b \\). Immediately after finishing their work, Snoopy and Woodstock had an argument, and Woodstock tore up the piece of paper on which they had recorded the statistics. Snoopy retrieved a few scraps of paper, and attempted to reassemble the results. Of the following, which might be a correct partial reconstruction of the work they had done? \\[ \\begin{array}{l} S_{Y}=-2 ; r=0.7 ; b=0.8 \\\\ S_{Y}=-2 ; r=0.8 ; b=-0.7 \\\\ S_{Y}=2 ; r=-0.7 ; b=-0.8 \\\\ S_{Y}=2 ; r=0.7 ; b=-0.8 \\end{array} \\]

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