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The following data on y 5 glucose concentration (g/L) and x 5 fermentation time (days) for a particular blend of malt liquor was read from a
X | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
V | 74 | 54 | 52 | 51 | 52 | 53 | 58 | 71 |
a. Verify that a scatterplot of the data is consistent with the choice of a quadratic regression model.
b. The estimated quadratic regression equation is y = 84.482 − 15.875x + 1.7679x2. Predict the value of glucose concentration for a fermentation time of 6 days, and compute the corresponding residual.
c. Using SSE = 61.77, what proportion of observed variation can be attributed to the quadratic regression relationship?
d. The n = 8 standardized residuals based on the quadratic model are 1.91, −1.95, −.25, .58, .90, .04, −.66, and .20. Construct a plot of the standardized residuals versus x and a normal
e. The estimated standard deviation of
f. Compute a 95% PI for a glucose concentration observation made after 6 days of fermentation time.
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Probability and Statistics for Engineering and the Sciences
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