Coca-Cola Revenues ($ millions), 2005–2010 Quarter 2005 2006 2007 2008 2009 2010 Qtr1 5,206 5,226 6,103 7,379 7,169 7,525 Qtr2 6,310 6,476 7,733 9,046 8,267 8,674 Qtr3 6,037 6,454 7,690 8,393 8,044 8,426 Qtr4 5,551 5,932 7,331 7,126 7,510 10,494 Click here for the Excel Data File (a-1) Use MegaStat or Minitab to deseasonalize Coca-Cola’s quarterly data. (Round your answers to 3 decimal places.) 1 2 3 4 2005 Not attempted Not attempted 2006 Not attempted Not attempted Not attempted Not attempted 2007 Not attempted Not attempted Not attempted Not attempted 2008 Not attempted Not attempted Not attempted Not attempted 2009 Not attempted Not attempted Not attempted Not attempted 2010 Not attempted Not attempted mean Not attempted Not attempted Not attempted Not attempted (a-2) State the adjusted four quarterly indexes. (Round your answers to 3 decimal places.) Q1 Q2 Q3 Q4 0.923 0.923 Correct 1.087 1.087 Correct 1.048 1.048 Correct 0.942 0.942 Correct (a-3) What is the trend model for the deseasonalized time series? (Round your answers to 2 decimal places.) yt = 158.69x 158.69x Incorrect xt + 5890.9 5890.9 Incorrect (b) State the model found when performing a regression using seasonal binaries. (A negative value should be indicated by a minus sign. Round your answers to 4 decimal places.) yt = 5227.3000 5227.3000 Correct + 149.7643 149.7643 Correct t + -440.0405 -440.0405 Correct Q1 + 726.5286 726.5286 Correct Q2 + 333.0976 333.0976 Correct Q3 (c) Use the regression equation to make a prediction for each quarter in 2011. (Enter your answers in millions rounded to 3 decimal places.) Quarter Predicted Q1 8531.367 8531.367 Correct Q2 9847.700 9847.700 Correct Q3 9604.033 9604.033 Correct Q4 9420.700 9420.700 Correct
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
| Coca-Cola Revenues ($ millions), 2005–2010 | ||||||
| Quarter | 2005 | 2006 | 2007 | 2008 | 2009 | 2010 |
| Qtr1 | 5,206 | 5,226 | 6,103 | 7,379 | 7,169 | 7,525 |
| Qtr2 | 6,310 | 6,476 | 7,733 | 9,046 | 8,267 | 8,674 |
| Qtr3 | 6,037 | 6,454 | 7,690 | 8,393 | 8,044 | 8,426 |
| Qtr4 | 5,551 | 5,932 | 7,331 | 7,126 | 7,510 | 10,494 |
(a-1) Use MegaStat or Minitab to deseasonalize Coca-Cola’s quarterly data. (Round your answers to 3 decimal places.)
| 1 | 2 | 3 | 4 | |
| 2005 | Not attempted | Not attempted | ||
| 2006 | Not attempted | Not attempted | Not attempted | Not attempted |
| 2007 | Not attempted | Not attempted | Not attempted | Not attempted |
| 2008 | Not attempted | Not attempted | Not attempted | Not attempted |
| 2009 | Not attempted | Not attempted | Not attempted | Not attempted |
| 2010 | Not attempted | Not attempted | ||
| mean | Not attempted | Not attempted | Not attempted | Not attempted |
(a-2) State the adjusted four quarterly indexes. (Round your answers to 3 decimal places.)
| Q1 | Q2 | Q3 | Q4 |
| 0.923 0.923 Correct | 1.087 1.087 Correct | 1.048 1.048 Correct | 0.942 0.942 Correct |
(a-3) What is the trend model for the deseasonalized time series? (Round your answers to 2 decimal places.)
yt = 158.69x 158.69x Incorrect xt + 5890.9 5890.9 Incorrect
(b) State the model found when performing a regression using seasonal binaries. (A negative value should be indicated by a minus sign. Round your answers to 4 decimal places.)
yt = 5227.3000 5227.3000 Correct + 149.7643 149.7643 Correct t + -440.0405 -440.0405 Correct Q1 + 726.5286 726.5286 Correct Q2 + 333.0976 333.0976 Correct Q3
(c) Use the regression equation to make a prediction for each quarter in 2011. (Enter your answers in millions rounded to 3 decimal places.)
| Quarter | Predicted |
| Q1 | 8531.367 8531.367 Correct |
| Q2 | 9847.700 9847.700 Correct |
| Q3 | 9604.033 9604.033 Correct |
| Q4 | 9420.700 9420.700 Correct |
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