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

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A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell
thickness (in micrometers, Pm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is
y = 0.115 + 0.005x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.115 + 0.005x and
standard deviation 0.005.
Transcribed Image Text:A paper suggests that the simple linear regression model is reasonable for describing the relationship between y = eggshell thickness (in micrometers, Pm) and x = egg length (mm) for quail eggs. Suppose that the population regression line is y = 0.115 + 0.005x and that o = 0.005. Then, for a fixed x value, y has a normal distribution with mean 0.115 + 0.005x and standard deviation 0.005.
(c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.182? (Hint: The
distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.)
1
Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.187? (Round your
answer to four decimal places.)
1
Transcribed Image Text:(c) Approximately what proportion of quail eggs of length 14 mm have a shell thickness of greater than 0.182? (Hint: The distribution of y at a fixed x is approximately normal. Round your answer to four decimal places.) 1 Approximately what proportion of quail eggs of length 14 mm have a shell thickness of less than 0.187? (Round your answer to four decimal places.) 1
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