Batesian mimicry occurs when a non-toxic or harmless organism looks highly similar to an organism that is toxic or venomous. A example is the viceroy butterfly which is harmless, but looks extremely similar to the monarch butterfly, which is toxic and bad- tasting when eaten. As a result of the similarity, the harmless organism may be avoided by predators. Bright colors are often advertisements for toxicity, to alert predators to avoid the animal. Another familiar example are coral and king snakes. Coral snakes have highly toxic venom, but king snakes are harmless. A common means for distinguishing the two is, "red touches yellow, you're a dead fellow. Red touches black, you're okay, Jack." E is the similarity as useful in the extreme reaches of the snakes' range? If king snakes live in areas where predators have little or exposure to coral snakes, they are actually in danger, as their bright colors make them more apparent to predators. Researcher investigated the predation rates on king snakes at varying distances from the boundary of coral snakes' range, to determine whether there was an effect.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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QUESTION 18
Batesian mimicry occurs when a non-toxic or harmless organism looks highly similar to an organism that is toxic or venomous. An
example is the viceroy butterfly which is harmless, but looks extremely similar to the monarch butterfly, which is toxic and bad-
tasting when eaten. As a result of the similarity, the harmless organism may be avoided by predators. Bright colors are often
advertisements for toxicity, to alert predators to avoid the animal.
Another familiar example are coral and king snakes. Coral snakes have highly toxic venom, but king snakes are harmless. A
common means for distinguishing the two is, "red touches yellow, you're a dead fellow. Red touches black, you're okay, Jack." But
is the similarity as useful in the extreme reaches of the snakes' range? If king snakes live in areas where predators have little or no
exposure to coral snakes, they are actually in danger, as their bright colors make them more apparent to predators. Researchers
investigated the predation rates on king snakes at varying distances from the boundary of coral snakes' range, to determine
whether there was an effect.
Here is a link to a Google Sheet of the dataset.
"Dist. From Boundary" is the distance in kilometers from the edge of the coral snakes' range; negative numbers mean within the
range, positive numbers are outside.
"Proportion of Attacks on Mimics" is the proportion of attacks on artificial mimic snakes vs. artificial non-mimics by predators.
Use the data set to perform a linear regression relating distance from the boundary to the proportion of attacks on mimics. Use your
regression formula to predict the proportion of attacks on mimics at -48 kilometers from the boundary. Report your answer to two
decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac1ed49b-5fd6-4d6a-bc81-c8c4c1a72011%2F46a7ca08-83ed-4b81-afb1-132f81efbf4d%2Fht4bxp1_processed.jpeg&w=3840&q=75)
![fx
Dist. From Boundary
A
D
1.
Dist. From Boundary Proportion of Attacks on Mimics
-97
3
-47
0.01
4
-33
-23
6.
-72
0.33
-23
0.5
8
152
0.4
-15
0.67
10
97
0.66
11
113
0.66
12
105
1
13
80
1
14
138
15
148
1
16
152
1
17
49
0.4
18
48
19
20](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac1ed49b-5fd6-4d6a-bc81-c8c4c1a72011%2F46a7ca08-83ed-4b81-afb1-132f81efbf4d%2Felrt87m_processed.jpeg&w=3840&q=75)
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