Question Details

STAT 220 Week 4 Linear Regression Project

Part II Statistical Analysis Due Day 5 of Week 4

1.	Run relevant descriptive statistics and graphs using Minitab. (no more than 30% of the paper)
•	Createahistogramforeach ofthequantitativevariables.
•	Createaboxplotforeach ofthequantitativevariables.
•	Calculatethedescriptive statisticstostudythecenter(MeanandMedian),dispersion (StandardDeviationandRange),distribution (Skewand Kurtosis),andposition(re: outliers-ifanyandbywhatcriteria)foreach ofthequantitativevariables.Describewhat thesevalues tell youabouteachofthevariables.(Note:The statisticsmentionedin parenthesis mustbeaddressed;however,you maywishtoincludeadditional statisticsif theyhelpto better“paintthepicture”ofyourdataset.)
•	Decidenotonlywhetherthedataaresymmetricorskewed,butwhetherthedataare sufficientlysymmetric tomaketheassumptionofnormality.Giveyourreasoningaswell as statingyourdecisionabouttheshapeofthedata.

2.	Createand analyze ascatterplot.
•	Use Minitab to create a scatter plot with the regression line.
•	Use the scatter plot to decide if there is a significant linear relationship between the variables.
•	Categorize the correlation as strong/weak/insignificant.
•	If a strong or weak correlation exists categorize it as positive or negative.
•	Analyze points in the scatter plot that appear not to follow the trend of the regression line. Try to discern why these points do not follow the trend and whether the points should be kept in the analysis.

3.	Analyze numeric measures of correlation
•	Find thecorrelation coefficient, r and explain its relevance.
•	Explain the relevance and practical meaning of R-squared.
•	Examinewhetherevidenceofa relationship betweentwovariables exists using the p-value. 
•	Explain the relevance of the slope of the regression line.

4.	Predictions
•	Find the linearregressionequation.
•	Elaborate on the reliability of predictions.  Should the equation be used for predictive purposes?
•	If appropriate, select a few values of the predictor variable and make the prediction using the regression equation.  If not, explain what approach you would take to make predictions.

Submission Requirements
1. Briefly, write up and submit your conclusions and reasoning.
2. Copy/paste any output and/or graphs/charts referenced in your write up into the document containing your brief conclusions and reasoning. 
3. Submit your Minitab file.