Statistics

*******  INCLUDE EXCEL TO SHOW WORK and COMPLETE THIS ALSO*****The paired data below consists of test scores and hours of preparation for 5 randomly selected students.x    Hours of preparation      5     2     9      6   10y    Test score                        64   48   72    73   801. Use the given data and MS Excel and find the correlation coefficient r, regression equation and scatter plot.Solution:Instructor Comments:2. Based on the linear correlation coefficient r, and the critical value, is this a good model?  Explain.Solution:Instructor Comments:3.  What is the best predicted test score for a student who spent 7 hours preparing for the test?Solution:Instructor Comments:4.  Find the standard error . Use the formula or Microsoft Excel RegressionSolution:Instructor Comments:5.  Find the 99% prediction interval for the test score of a person who spent 7 hours preparing for the test given that E = 34.677. Interpret the result.Solution:Instructor Comments:6.  Find the explained variation.Solution:Instructor Comments7.  Find the unexplained variation.Solution:Instructor Comments:8.  Find the total variation.Solution:Instructor Comments:9.  Find the value of r2 and explain its meaning.Solution:Instructor Comments:10.  If the data point (3, 100) is added to the data set, how would this affect the results of the regression analysis?  Is this data point an outlier, influential point or both?  Explain.Solution:Instructor Comments: