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A paper suggests that the simple linear regression model is reasonable for describing the relationship between...

A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell  thickness (in micrometers, µm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.115 + 0.007x and that σe = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.115 + 0.007x  and standard deviation 0.005.

Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.211? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.)

Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.214? (Round your answer to four decimal places.)

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orchestra answered 2 years ago
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