a. Calculate the 95% confidence interval for the correlation between nest area and egg length. Given: critical value = 2.02 b. Calculate the estimated linear regression equation for this analysis and write the full equation. Then interpret each estimate in context.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter1: Variables, Expressions, And Integers
Section1.5: Adding Integers
Problem 45E
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Assume a = 0.05 unless otherwise noted.
Show your work and include appropriate units with answers when relevant.
Round all numeric answers to at least 3 decimal places.
1. Mourning doves create nests in a wide range of sizes. Researchers want to know if nest
size impacts the size of the eggs the birds lay, so they collect one randomly-chosen egg
from each of 40 unrelated nesting doves. After confirming all relevant assumptions, they
calculated the following:
Mean
Std. Dev.
Nest Area (cm²) Egg Length (mm)
31.75
4.19
8.20
0.38
r = 0.47
a. Calculate the 95% confidence interval for the correlation between nest area and
egg length. Given: critical value = 2.02
b. Calculate the estimated linear regression equation for this analysis and write the
full equation. Then interpret each estimate in context.
Transcribed Image Text:● ● Assume a = 0.05 unless otherwise noted. Show your work and include appropriate units with answers when relevant. Round all numeric answers to at least 3 decimal places. 1. Mourning doves create nests in a wide range of sizes. Researchers want to know if nest size impacts the size of the eggs the birds lay, so they collect one randomly-chosen egg from each of 40 unrelated nesting doves. After confirming all relevant assumptions, they calculated the following: Mean Std. Dev. Nest Area (cm²) Egg Length (mm) 31.75 4.19 8.20 0.38 r = 0.47 a. Calculate the 95% confidence interval for the correlation between nest area and egg length. Given: critical value = 2.02 b. Calculate the estimated linear regression equation for this analysis and write the full equation. Then interpret each estimate in context.
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