L. GRAPH SETTINGS Reset Show y -ỹ Show residuals y - ĝ Choose a Dataset (1 to 100) 5 у Intercept (-6 to 15) 15 1.5 12 -6 15 9 Slope (-3 to 3) 0.0 6 -3 3 3 111 0 CALCULATIONS -3 Sample Size 21 -6 Sum of Squares, Total 121.82 0 2 4 6 8 10 12 14 16 х Sum of Squared Residuals 121.82 Proposed Regression Line SST Components
Interact with the above tool as instructed, and observe what happens to answer the following questions. Select data set 5 and then click anywhere else to plot the data. a. Write the equation of the horizontal blue line that is initially drawn for you. (Report one decimal place.) y = 1.5 0.0 * X b. Your goal with this tool is to find the "line of best fit" that minimizes the "sum of squared residuals." This "best" line will always go through the point ,y), the sample means of the x and y variables. The value of y is the intercept of the initial blue line. Estimate, by inspection, the value of 7. Note that this value is not neccessarily the middle value shown on the x-axis. (Report one decimal place.) Now propose a line with an intercept of 7 that also goes through the point *,y). (Report one decimal place.) y = *x
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