Researchers initiated a long-term study of the population of American black bears. One aspect of the study was to develop a model that could be used to predict a bear's weight (since it is not practical to weigh bears in t thought to be related to weight is the length of the bear. The accompanying data represent the lengths and weights of 12 American black bears. Complete parts (a) through (d) below. | Click the icon to view the data table. E Click the icon to view the critical values table. (a) Which variable is the explanatory variable based on the goals of the research? O A. The weight of the bear O B. The number of bears OC. The length of the bear (b) Draw a scatter diagram of the data. Choose the correct graph below. O A. OB. Oc. OD. AWeight (kg) 180- AWeight (kg) 180- Q AWeight (kg) 180- ALength (cm) 180- .... - -- .. 40+ 100 200 Length (cm) 40+ 100 200 Length (cm) 40- 100 Length (cm) 40+ 100 200 200 Weight (kg) (c) Determine the linear correlation coefficient between weight and length. The linear correlation coefficient between weight and length is r=D: (Round to three decimal places as needed.)
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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