4. A study was conducted to see if there was a linear relationship between the length in cm of seals in overhead photographs and their weight in kilograms. Below is the data: Overhead 7.2 7.4 9.8 9.4 8.8 8.4 7.6 length Weight 116 154 250 200 197 194 170 a. Is there sufficient evidence that there is a linear correlation between overhead lengths and the weight of the seals? Test the claim at the 5% significance level. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. What is the correlation? c. State the linear regression line.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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A study was conducted to see if there was a linear relationship between the length in cm of
seals in overhead photographs and their weight in kilograms. Below is the data:
4.
Overhead
7.2
7.4
9.8
9.4
8.8
8.4
7.6
length
Weight
116
154
250
200
197
194
170
a. Is there sufficient evidence that there is a linear correlation between overhead lengths and
the weight of the seals? Test the claim at the 5% significance level. State the null and
alternate hypothesis, find the test statistic and p-value, and state the decision.
b. What is the correlation?
c. State the linear regression line.
d. If the length of a seal was 8.2 cm, what is its weight?
е.
Can you calculate the weight of a seal if it is 20 cm long?
Transcribed Image Text:A study was conducted to see if there was a linear relationship between the length in cm of seals in overhead photographs and their weight in kilograms. Below is the data: 4. Overhead 7.2 7.4 9.8 9.4 8.8 8.4 7.6 length Weight 116 154 250 200 197 194 170 a. Is there sufficient evidence that there is a linear correlation between overhead lengths and the weight of the seals? Test the claim at the 5% significance level. State the null and alternate hypothesis, find the test statistic and p-value, and state the decision. b. What is the correlation? c. State the linear regression line. d. If the length of a seal was 8.2 cm, what is its weight? е. Can you calculate the weight of a seal if it is 20 cm long?
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