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Concept explainers
Shoot to score 2016 A college hockey coach collected data from the 2016–2017 National Hockey League season. He hopes to convince his players that the number of shots taken has an effect on the number of goals scored. The coach performed a preliminary analysis, using the scoring statistics from 65 offensive players who had played at least 44 games by the middle of the season. (If you use the data file, note that it includes defensive players as well. Use the variable Offense to select the players in this analysis.) He predicts Goals from number of Shots. Write the regression model and explain what the slope coefficient means in this context.
Response variable is: Goals
R squared = 49.9%
s = 2.983 with 65 – 2 = 63 degrees of freedom
Variable | Coefficient | SE(Coeff) | t-ratio | P-value |
Intercept | 1.13495 | 1.231 | 0.922 | 0.3602 |
Shots | 0.099267 | 0.0125 | 7.93 | <0.0001 |
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Chapter 20 Solutions
Intro Stats, Books a la Carte Edition (5th Edition)
- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
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