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28 crabs were studied, and their total number of eggs (Y ) was compared to their body weight (X) in mg. Some summary data follows:

28 crabs were studied, and their total number of eggs (Y ) was compared to their body weight (X) in mg. Some summary data follows:

  1. Find the estimated regression line.
  2. The 95% confidence interval for the slope is: (0.2635 , 2.8741). Inter- pret this interval in terms of the problem.
  3. Find and interpret the value of r2.
  4. If the difference between two crabs was 15 mg, what is the largest difference in number of eggs we would expect on average? Explain your answer.

image text in transcribed
# eggs weight (mg) sample mean 24.68 6.86 sample std. dev. 4.03 1.12 Further, SSE = 354.957, and r = 0.436

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