Find the regression equation, letting overhead width be the predictor (x) variable. Find the best predicted weight of a seal if the overhead width measured from a photograph is 1.6 cm. Can the prediction be correct? What is wrong with predicting the weight in this case? Use a significance level of 0.05. Overhead Width (cm) 7.9 8.1 9.2 9.4 7.1 7.6 Weight (kg) 145 183 222 203 133 159 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. The regression equation is y=nothing+nothingx. (Round to one decimal place as needed.) The best predicted weight for an overhead width of 1.6 cm is nothing kg. (Round to one decimal place as needed.) Can the prediction be correct? What is wrong with predicting the weight in this case? A. The prediction cannot be correct because there is not sufficient evidence of a linear correlation. The width in this case is beyond the scope of the available sample data. B. The prediction cannot be correct because a negative weight does not make sense and because there is not sufficient evidence of a linear correlation. C. The prediction cannot be correct because a negative weight does not make sense. The width in this case is beyond the scope of the available sample data. D. The prediction can be correct. There is nothing wrong with predicting the weight in this case.
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.
Overhead Width (cm)
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7.9
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8.1
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9.2
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9.4
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7.1
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7.6
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|
---|---|---|---|---|---|---|---|
Weight (kg)
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145
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183
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222
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203
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133
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159
|
|
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