In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table: Price ($) Sales ($1,000s) 15.00 15 15.50 14 16.00 16 16.50 9 17.00 12 17.50 10 18.00 8 18.50 9 19.00 6 19.50 5 d). Interpret the meaning of the coefficients of the equation of the sample regression line. e). At 5% level of significance, is there evidence of a linear relationship between the sales and price?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table:
|
Price ($) |
Sales ($1,000s) |
|
15.00 |
15 |
|
15.50 |
14 |
|
16.00 |
16 |
|
16.50 |
9 |
|
17.00 |
12 |
|
17.50 |
10 |
|
18.00 |
8 |
|
18.50 |
9 |
|
19.00 |
6 |
|
19.50 |
5 |
d). Interpret the meaning of the coefficients of the equation of the sample regression line.
e). At 5% level of significance, is there evidence of a linear relationship between the sales and price?
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