Exercise 7.15 introduces data on shoulder girth and height of a group of individuals. In the data set, the minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 105.87 cm with a standard deviation of 10.13 cm. The mean height is 173.14 cm with a standard deviation of 9.01 cm. The correlation between height and shoulder girth is 0.695. d) A randomly selected student from your class has a shoulder girth of 104 cm. Predict the height of this student using the model. Round to the nearest whole number e) The student from part (d) is 163 cm tall. Calculate the residual and round to the nearest whole number.
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.
Exercise 7.15 introduces data on shoulder girth and height of a group of individuals. In the data set, the minimum shoulder girth is 87 cm and the maximum shoulder girth is 134 cm. The mean shoulder girth is 105.87 cm with a standard deviation of 10.13 cm. The mean height is 173.14 cm with a standard deviation of 9.01 cm. The
d) A randomly selected student from your class has a shoulder girth of 104 cm. Predict the height of this student using the model. Round to the nearest whole number
e) The student from part (d) is 163 cm tall. Calculate the residual and round to the nearest whole number.
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