What is the value of the regression coefficient r


Assignment

Models help us describe and summarize relationships between variables. Understanding how process variables relate to each other helps businesses predict and improve performance. For example, a marketing manager might be interested in modeling the relationship between advertisement expenditures and sales revenues.
Consider the dataset below and respond to the questions that follow:

Advertisement (000)          Sales (000)
1068                                     4489
1026                                     5611
767                                       3290
885                                       4113
1156                                     4883
1146                                     5425
892                                       4414
938                                       5506
769                                       3346
677                                       3673
1184                                     6542
1009                                     5088

A. Construct a scatter plot with this data.

B. Do you observe a relationship between both variables?

C. Use Excel to fit a linear regression line to the data. What is the fitted regression model? (Hint: You can follow the steps outlined on page 497 of the textbook.)

D. What is the slope? What does the slope tell us?Is the slope significant?

E. What is the intercept? Is it meaningful?

F. What is the value of the regression coefficient,r? What is the value of the coefficient of determination, r^2? What does r^2 tell us?

G. Use the model to predict sales and the business spends $950,000 in advertisement. Does the model underestimate or overestimates ales?

Format your assignment according to the give formatting requirements:

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