Month No. of Advertisements Amt of sales 1 20 61000 2 24 77000 3 30 72000 4 23 66000 5 27 85000 6 25 77000 7 32 90000 8 35 10000 9 21 63000 10 34 97000 11 26 83000 12 29 70000 a) show above data on a scatter plot and include regression line. b) calculate the regression equation and a r-squared c) construct a 95% confidence interval for question b.
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.
| Month | No. of Advertisements | Amt of sales |
| 1 | 20 | 61000 |
| 2 | 24 | 77000 |
| 3 | 30 | 72000 |
| 4 | 23 | 66000 |
| 5 | 27 | 85000 |
| 6 | 25 | 77000 |
| 7 | 32 | 90000 |
| 8 | 35 | 10000 |
| 9 | 21 | 63000 |
| 10 | 34 | 97000 |
| 11 | 26 | 83000 |
| 12 | 29 | 70000 |
a) show above data on a
b) calculate the regression equation and a r-squared
c) construct a 95% confidence interval for question b.
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