The answer is in red, but could someone show how they got the answer? A group of

Question

The answer is in red, but could someone show how they got the answer?

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 (alpha=0.05): What is SSR? a. 26246.2 b. 19325.2 c. 15364.5 d. 17876.8 e. 13333.3 What are the degrees of freedom used to find F_critical (i.e., numerator and denominator)? a. 1, 99 b. 4, 95 c. 1, 100 d. 4, 96 e. 4, 99 What is SSE? a. 10137.25 b. 7576.50 c. 5015.75 d. 14675.99 e. 14532.46

Explanation / Answer

First of all we will find df of Regression is 5-1, i.e. 4 i.e. brand equity and online chatter (measured by 4 variables)

Now df of total is 100-1=99, Error df=total df-Regression df=99-4=95

Now MSS of regression is 6561.55, So SS Regression =6561.55*4= 26246.2

Now Total SS is SS Error + SS Regression

So SS Error=SS Total-SS Regression=14532.46

Finally F=MSS Regression/MSS Error so df for F (4,95)

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