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To determine slope of regression equation

For the following data, prove that the 95 percent confidence limits for the slope of the theoretical regression line are given by 4.33 < < 8.25.

Heights (X) and weights (Y) of college students:

X 63 72 70 68 66 69 74 70 63 72 65 71
Y 124 184 161 164 140 154 210 164 126 172 133 150

The regression line of Y on X is given by y' = 6.29x - 274.56.

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