MAT 243 Project Three

0. 5. Scatterplot and Correlation for the Total Number of Wins and Average Relative Skill

   You constructed a scatterplot of total number of wins and average relative skill. You also calculated the Pearson correlation coefficient along with its P-value.

   See Step 4 in the Python script to answer the following questions:

Answer the questions in a paragraph response. Remove all questions and this note (but not the

table) before submitting! Do not include Python code in your report.

• ●  What do the scatterplot and the Pearson correlation coefficient tell you about the association between total number of wins and average relative skill?
• ●  Is the correlation coefficient statistically significant based on the P-value? Use a 1% level of significance.

  6. Multiple Regression: Predicting the Total Number of Wins using Average Points Scored and Average Relative Skill

  You created a multiple regression model with the total number of wins as the response variable, with average points scored and average relative skill as predictor variables.

  See Step 5 in the Python script to answer the following questions:

• ●  In general, how is a multiple linear regression model used to predict the response variable using predictor variables?
• ●  What is the equation for your model? MAT 243 Project Three
• ●  What are the results of the overall F-test? Summarize all important steps of this hypothesis test.

  This includes:

  1. Null Hypothesis (statistical notation and its description in words)
  2. Alternative Hypothesis (statistical notation and its description in words)
  3. Level of Significance
  4. Report the test statistic and the P-value in a formatted table as shown below:

     Table 2: Hypothesis Test for the Overall F-Test MAT 243 Project Three

  5. Conclusion of the hypothesis test and its interpretation based on the P-value

Answer the questions in a paragraph response. Remove all questions and this note before

submitting! Do not include Python code in your report.

● Based
in predicting the total number of wins in the season?

on the results of the overall F-test, is at least one of the predictors statistically significant

• ●  What are the results of individual t-tests for the parameters of each predictor variable?
  Is each of the predictor variables statistically significant based on its P-value? Use a 1% level of significance.
• ●  Report and interpret the coefficient of determination. MAT 243 Project Three
• ●  What is the predicted total number of wins in a regular season for a team that is averaging 75

  points per game with a relative skill level of 1350?

• ●  What is the predicted total number of wins in a regular season for a team that is averaging 100

  points per game with an average relative skill level of 1600?

​Answer the questions in a paragraph response. Remove all questions and this note (but not the

table) before submitting! Do not include Python code in your report.

7. Multiple Regression: Predicting the Total Number of Wins using Average Points Scored, Average Relative Skill, and Average Points Differential

MAT 243 Project Three

You created a multiple regression model with the total number of wins as the response variable, with average points scored, average relative skill, and average points differential as predictor variables.

See Step 6 in the Python script to answer the following questions:

• ●  In general, how is a multiple linear regression model used to predict the response variable using predictor variables?
• ●  What is the equation for your model?
• ●  What are the results of the overall F-test? Summarize all important steps of this hypothesis test.

  This includes:

  1. Null Hypothesis (statistical notation and its description in words)
  2. Alternative Hypothesis (statistical notation and its description in words)
  3. Level of Significance
  4. Report the test statistic and the P-value in a formatted table as shown below:

     Table 3: Hypothesis Test for Overall F-Test MAT 243 Project Three

  5. Conclusion of the hypothesis test and its interpretation based on the P-value

● Based
in predicting the number of wins in the season?

on the results of the overall F-test, is at least one of the predictors statistically significant

• ●  What are the results of individual t-tests for the parameters of each predictor variable?
  Is each of the predictor variables statistically significant based on its P-value? Use a 1% level of significance.
• ●  Report and interpret the coefficient of determination.
• ●  What is the predicted total number of wins in a regular season for a team that is averaging 75

  points per game with a relative skill level of 1350 and average point differential of -5?

• ●  What is the predicted total number of wins in a regular season for a team that is averaging 100

  points per game with a relative skill level of 1600 and average point differential of +5?

  8. Conclusion MAT 243 Project Three

  Describe the results of the statistical analyses clearly, using proper descriptions of statistical terms and concepts. Fully describe what these results mean for your scenario.

Answer the questions in a paragraph response. Remove all questions and this note (but not the

table) before submitting! Do not include Python code in your report.

• ●  Briefly summarize your findings in plain language.
• ●  What is the practical importance of the analyses that were performed?

  9. Citations

  You were n​ ot​ ​required to use external resources for this report. If you did not use any resources, you should remove this entire section. However, if you did use any resources to help you with your interpretation, you m​ ust​ ​cite them. Use proper APA format for citations.

  Insert references here in the following format:
  Author’s Last Name, First Initial. Middle Initial. (Year of Publication). Title of book: Subtitle of book,

  edition. Place of Publication: Publisher.

Need Help with a similar Assignment?