The scatter plot for the values of X and with Y
From the above graph the regression line is Y-1.5504X+7.2211
And correlation coefficient r = 0.9084
The scatter plot for the values of X and with Y₂
From the above graph the regression line is Y=1.5504X+7.0211
And correlation coefficient r = 0.7789
Correlation and Slope:
The correlation coefficient and slope of the data set may differ, but the sign of both will always be the same. The slope will always be positive if the correlation coefficient is positive. The slope will always be negative if the correlation coefficient is negative.
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Full Question:Consider two sets of data that give rise to lines that have exactly the same slope but different correlation coeffecients. First draw hypothetical graphs that show the data around the lines with the same slope, then explain how these data sets can have the same slope but forrelation coeffecients.
