Calculate the residuals for the scatter plot (image provided)
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From the given graph, and using the scatter plot function of a graphing calculator, the residuals are;
-0.08693, -0.019376, -0.518, -0.183, -0.083, 0.135, 0.318, and 0.578
From the diagram, the given points are;
(14, 4), (15, 4), (16.5, 3.5), (18, 4), (18, 3.9), (19.5, 3.85), (20, 4), (26.8, 3.8)
Utilizing a graphing calculator, using the scatter plot function we have the following predicted values;
Best fit line; y = 5.032 - 0.0676•x
Residuals = Actual - Predicted from equation
The residuals are;
y1 = 4 - 4.08693 = -0.08693
y2 = 4 - 4.019376 = -0.019376
y3 = 3.5 - 3.918 = -0.518
y4 = 4 - 3.817 = -0.183
y5 = 3.9 - 3.817 = -0.083
y6 = 3.85 - 3.715 = 0.135
y7 = 4 - 3.682 = 0.318
y8 = 3.8 - 3.222 = 0.578
The residuals are therefore;
The residuals are;
Learn more about finding the residuals of a scatter plot here:
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