A group of marketing researchers in Michigan State University recently published

Question

A group of marketing researchers in Michigan State University recently published an article about the relationship between brand equity (the value of a well-known brand) and online chatter which is measured by 4 variables: negativity index, positivity index, passion score, and total number of posts regarding the brand in a specific period of time. They randomly selected 100 companies from the S&P 500 index and collected data for the most recent quarter (n=100). They analyzed the data using a regression analysis. The dependent variable (total value of a brand in dollars) was predicted using the variables listed above. Consider the information provided in the ANOVA table below and answer the following questions (=0.05):

What is SSR?

What are the degrees of freedom used to find Fcritical (i.e., numerator and denominator)?

What is SSE?

What is Fcalc?

What is Fcrit?

What is R2?

What is the Adjusted R2?

Sum of Squares Deg. of Freedom Mean Square Fl Source Regression Error Total Ecalc 6561.55 40778.66

Explanation / Answer

from above SSR =26246.2

  degrees of freedom used to find Fcritical ;4 and 95

SSE =14532.46

F calc =42.8934

F crit =2.4675

R2 =SSR/SST =0.6436

R2adj =1-MSE/MST =0.6286

source sum of squares deg of freedom mean square F calc regression 26246.2 4 6561.5500 42.8934 error 14532.46 95 152.9733 total 40778.66 99

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