The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regress line is y = - 0.594x + 225.295, Use the data to answer the following questions. (a) Find the coefficient of determination, , and interpret the result. (b) Find the standard error of the estimate, s,, and interpret the result. Goals Allowed, x Points, y 215 210 221 220 258 259 282 200 210 199 226 205 260 240 e 111 108 98 91 83 79 47 105 107 99 90 90 70 73 (a) r? =O (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.
![The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression
line is y = - 0.594x+ 225.295. Use the data to answer the following questions.
(a) Find the coefficient of determination, r, and interpret the result.
(b) Find the standard error of the estimate, s,, and interpret the result.
Goals
Allowed, x
Points, y
215 210 221 220 258 259 282 200 210 199 226 205 260 240 O
111 108 98
91
83
79
47 105 107
99
90
90
70
73
(a) r? =D
%3D
(Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcd1806e8-82a7-4ef2-9a0b-38ba481b1610%2F4e624ab1-4f1c-4297-9554-efb1ab0c3de2%2Fzwsf8fy_processed.png&w=3840&q=75)
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