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Create a scatterplot of the following 5 points on graph paper: (2, 5), (4, 4), (5, 6), (4, 7), and (2, 3). Then, use your
Create a scatterplot of the following 5 points on graph paper: (2, 5), (4, 4), (5, 6), (4, 7), and (2, 3). Then, use your calculator to find the correlation and LSRL. r=0.5893 y=0.69x+2.64You will now be adding a sixth point to your plot on the paper (below) looking at what happens to the correlation, slope and size of the residual. For each row of the chart below, first add the point to your graph paper and then replace the sixth point in your lists to be the NEW point listed. For each new point, ONLY fill in the first 3 columns of the chart. For the residual, just approximate the value. Point Correlation Slope(b1) Residual Influentia High Leverage None (original .5893 694 N/A N/A N/A data (4,5) 5774 667 small no (8,8) 7915 664 small no yes (10,9) 8475 621 small no yes (3.5,2) .4229 659 large no (1, 7) .0791 .0833 large yes (8,9) 8447 .819 small yes yes (10,0) -.6144 -.517 small yes yes An influential point is any point that when added dramatically changes the slope of - the regression line. Which points were influential? Mark the influential points on your chart above in the "Influential" column. What similar characteristics about these points make them influential? A point that has high leverage is any that is an outlier of the x values. It can change the slope and/or the correlation of a line depending on its placement. Which points have high leverage? Mark this on your chart above. An outlier is any point that has high leverage or a high residual. Which points were outliers on your chart above
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