Question: Use the output from Minitab for these data to answer the following questions. a. Plot the data on a scatterplot. b. Locate the least- squares
a. Plot the data on a scatterplot.
b. Locate the least- squares prediction from the output given here, and draw the regression line in the scatterplot.
c. Does the predicted equation seem to represent the data adequately?
d. Predict y when x = 77.
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x 20 36 50 80 95 121 85 63 98 108 y 32 75 87 152 195 274 184 123 136 203 Minitab output: Regression Analysis: y versus x Analysis ot Variance Source Regression 1 40627 406269 ecror Total DF Ad1 SS Ad] KS P-Value P-value 0.000 0.000 64.56 64.56 1 40627 40626.9 629.3 5034 9 45661 Model Summary R-sq 89.98a R-sq ( adj 87 .60% R-sq(pred) 2.69a 25.0950 Coethetents coef SE Coer T-Value P-Value VIE Teran Constant9.7 20.9 2.060 0 256 -0.46 B.04 0. 657 0.000 1.00 Regression Equation Y9.7 +2.0602x Fits ara Diagnostics tor Al1 oeervatione 0.5 2 75.0 64.5 10.5 e7 .0 93.4-6.4 4 152.0 155.2 3.2 2.9 6 274 239 6 34.4 7 184.0 165 512.5 2.9 9 136.0 192.3 56.3 10 2030 212.9 9.9 y Pit Resid sta Resid 0.02 0.49 -0.29 -0.13 0,38 1.66 0.78 0.12 1 32:0 31.5 5195.0 1e6.1 e 123.0 120.1 -2.44 R -0:44 R Large residual
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