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Problem 1: Pitching performance A baseball instructional video claimed it would improve the performances of young pitchers. To test this claim, 20 students each threw 50 pitches Before and After participation in the program, and the number of strikes was recorded.  Is there strong evidence that the effectiveness of the video (measured by After minus Before) depends on the player's initial ability to throw strikes (Before)?   Test an appropriate hypothesis using a significance level of 5% (alpha = 0.05).

Problem 1: Pitching performance A baseball instructional video claimed it would improve the performances of young pitchers. To test this claim, 20 students each threw 50 pitches Before and After participation in the program, and the number of strikes was recorded.  Is there strong evidence that the effectiveness of the video (measured by After minus Before) depends on the player's initial ability to throw strikes (Before)?   Test an appropriate hypothesis using a significance level of 5% (alpha = 0.05).

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Problem 1: Pitching performance

A baseball instructional video claimed it would improve the performances of young
pitchers. To test this claim, 20 students each threw 50 pitches Before and After
participation in the program, and the number of strikes was recorded. 

Is there strong evidence that the effectiveness of the video (measured by After
minus Before) depends on the player's initial ability to throw strikes (Before)?
 
Test an appropriate hypothesis using a significance level of 5% (alpha = 0.05).
 
 
 
Before 27 28 29 30 30 32 ကြကြကြ 33 35 35 36 36 37 38 38 38 38 39 39 40 40 After 34 32 32 35 34 31 ကြက်ကြကြ 33 33 32 34 34 34 33 33 က က 33 32 32 34 33 34 Effectiveness 7 4 3 5 4 -1 ဝ တ လ လ ယ် လ -2 -3 -2 -2 -3 -5 -5 -5 -6 -7 -5 -7 -6
Transcribed Image Text:Before 27 28 29 30 30 32 ကြကြကြ 33 35 35 36 36 37 38 38 38 38 39 39 40 40 After 34 32 32 35 34 31 ကြက်ကြကြ 33 33 32 34 34 34 33 33 က က 33 32 32 34 33 34 Effectiveness 7 4 3 5 4 -1 ဝ တ လ လ ယ် လ -2 -3 -2 -2 -3 -5 -5 -5 -6 -7 -5 -7 -6
Problem 1: Pitching performance 1. Identify the response and predictor variables 2. Perform the analysis: a) Use SPSS to create the plots necessary to check the Straight Enough Condition (x/y scatterplot, or partial regression plot) b) If x/y scatterplots are straight enough, fit a regression model to the data c) Save the residuals and predicted values d) Check the Equal Variance Condition using a scatterplot of the residuals against the predicted values, and against each predictor e) Think about how the data were collected (random sampling?) by checking the Independence Assumption f) Make a histogram and a Normal probability plot of the residuals to check the Nearly Normal Condition 3. Interpret the output and draw an appropriate conclusion
Transcribed Image Text:Problem 1: Pitching performance 1. Identify the response and predictor variables 2. Perform the analysis: a) Use SPSS to create the plots necessary to check the Straight Enough Condition (x/y scatterplot, or partial regression plot) b) If x/y scatterplots are straight enough, fit a regression model to the data c) Save the residuals and predicted values d) Check the Equal Variance Condition using a scatterplot of the residuals against the predicted values, and against each predictor e) Think about how the data were collected (random sampling?) by checking the Independence Assumption f) Make a histogram and a Normal probability plot of the residuals to check the Nearly Normal Condition 3. Interpret the output and draw an appropriate conclusion
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