Subjects statistics

Points Above Line 13B778

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1. The problem asks: For how many of the 9 data points is the actual y-value greater than the y-value predicted by the line of best fit? 2. The line of best fit represents predicted y-values for given x-values. 3. To solve, we compare each actual y-value of the data points to the predicted y-value from the line at the same x. 4. From the graph description, the line starts near $y=80$ at $x=0$ and ends just under $y=90$ at $x=10$, sloping slightly upward. 5. By observing the scatterplot: - Some points lie above the line (actual $y >$ predicted $y$). - Some points lie on the line (actual $y =$ predicted $y$). - Some points lie below the line (actual $y <$ predicted $y$). 6. Counting the points above the line, we find that 4 of the 9 data points have actual $y$-values greater than the predicted $y$-values. Final answer: 4 data points have actual $y$ greater than predicted $y$.