Regression analysis

REGRESSION ANALYSIS -P H SHAMEER

[object Object],[object Object]

INTRODUCTION ,[object Object],[object Object],[object Object]

2 types of variables ,[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

assumptions ,[object Object],[object Object],[object Object],[object Object]

Analysis for Linearity Not Linear Linear  x x Y x Y x

Residual Analysis for Homoscedasticity Non-constant variance  Constant variance x x Y x x Y residuals residuals

SCATTER PLOTS ,[object Object]

Regression Equation where a is y intercept & b 1 , b 2, ..b i are regression coefficients

How a & b can be calculated? ,[object Object],[object Object],[object Object]

forecasting ,[object Object],[object Object],[object Object]

terminology ,[object Object],[object Object],[object Object],[object Object]

terminology ,[object Object],[object Object],[object Object],[object Object],[object Object]

Scatter Plots of Data with Various Correlation Coefficients Y X Y X Y X Y X Y X r = -1 r = -.6 r = 0 r = +.3 r = +1 Y X r = 0 ,[object Object]

terminology….. ,[object Object],[object Object],[object Object],[object Object]

terminology… ,[object Object],[object Object],[object Object],[object Object],[object Object]

Is each X contributing to the prediction of Y? ,[object Object],[object Object]

Performing regression in spss ,[object Object]

variables ,[object Object],[object Object],[object Object],[object Object]

Cont.. ,[object Object],[object Object],[object Object]

Selection methods: on relative contribution of independent variables ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Now click the statistics button Now click ‘continue’> then ‘ok’

Cont… ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

references ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Regression analysis

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Regression analysis