7. The following table lists the heights and weights for a group of firefighters. 189 17 Height (cm) Weight (kg) a) Create a scatter plot for these data and classify the linear correlationL b) Calculate the correlation coefficient c) Does the r-value agree with the classification you made in part a)? Explain why or why not. 171 182 172 169 188 181 173 165 75 85 78 72 90 87 120 73 100 97
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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The following table lists the heights and weights for a group of firefighters.
Height
171
182
172
169
188
181
173
165
189
178
(ст)
Weight
(kg)
a) Create a scatter plot for these data and classify the linear correlation
75
85
78
72
90
87
120
73
100
97
b) Calculate the correlation coefficient
c) Does the r-value agree with the classification you made in part a)? Explain why or why not.
d) Apply the method of least squares to generate the equation of the line of best fit.
e)
Identify any outliers in the data. Suggest some ways to improve the model.
f) Predict the mass of a firefighter whose height is 180 cm."
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