SST, SSE, SSR, coefficient of determination, goodness of fit, and correlation coefficient

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• Regression analysis of sale and advertisement.

  Predict the amount of sales for 7 Ads per week Predict the amount of sales for 15 Ads per week SST, SSE, SSR Compute the coefficient of determination of (r2) and comment of the goodness of fit.

• Solving and analyzing simple regression question

  Check whether there is a relation between correlation coefficient and coefficient of determination. Calculate SSE and MSE, and standard error and t-score of the slope coefficient and comment on the significance of the slope.

• Test for Regression Coefficient using Correlation Coefficient

  The solution illustrates the application of correlation coefficient in the test for significance of the regression coefficient.

• Calculation of t test and r-square in multiple regression

  Multiple coefficient of determination can be determined as R2 = SSR/SST = SSR/(SSE+SSR) = 1500/(1500+500) = 1500/2000 = 0.75 Multiple coefficient of determination is 0.75.

• building ANOVA from sums of squares and testing a hypothesis

  221443 building ANOVA from sums of squares and testing a hypothesis Given the information below calculate SST, SSR, and SSE, determine the coefficient of determination then use ANOVA and the 0.05 level in testing whether r2 is significantly different

• Scatter Plot and data

  (e) Find SST, SSR and SSE.

• Computation of R-squared

  It is also called the square of the multiple correlation coefficient and the coefficient of multiple determination. References: 1.

• Confidence Interval - Hypothesis Testing - Regression

  Height 68 64 62 65 66 Weight 132 108 102 115 128 Compute b1 In a simple linear regression, calculate the SSR given that the SSE = 5 and the SST = 245 Compute the coefficient of determination, r2 given that SST = 240 and SSR = 30 Compute the

• Solve: For an Estimated Regression Equation

  a) SSE=100 Degree of freedom = 20-2=18 Standard Error = (SSE/degree of freedom)^0.5 =(100/18)^0.5=2.357 b) The coefficient of determination= SSE/SST = 100/400 = 0.75 c) The coefficient of correlation = (coefficient of determination)^0.5 =0.75