Study of correlation and linear regression in statistical analysis.
Caleb Patterson
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Page1of7StatisticsDr S. TherianosCorrelationand Linear RegressionCorrelation:A technique used to decide whether there is a statistically significantlinearrelationship between the values of the dependent and independent variables.Regression:A statistical method used to describe the nature of the relationship betweenthe dependent and independent variables witha linear equation, called theRegressionLine.Association:A vague term used to describe the relationship between two variables.We shall investigate relationships between variables.If only two variables are involved the relationship issimple.For example, is there a relationship between a person’s age and his or her bloodpressure?If more than two variables are studied we have amultiple relationship.For example a student’s success in college depends on many factors such as the hoursdevoted to studying, the GPA, high school background, social and economic conditions.In this course we study onlysimple relationships.There are many types of relationships:Arelationshipispositiveif both variables increase or decrease at the same time.For example there is a positive relationship between a person’s height and weight.A relationship isnegativeifone variable increases and the other decreases, or viceversa.For example, for older people, as age increases, in general, agility decreases.Also, a relationship can belinearornonlinear.Our purpose is to answer the following questions statistically:1.Is there an association between the variables?Basically this means arethetwo variablesx and ysomehowrelated?2. If the variables are related, what is thetype or shapeof the relationship?
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