he accompanying data are x = advertising share and y = market share for a particular brand of cigarettes during 10 randomly selected years. x 0.103 0.073 0.071 0.077 0.086 0.047 0.060 0.050 0.070 0.052 y 0.132 0.126 0.122 0.086 0.079 0.076 0.065 0.059 0.051 0.039 (a) Calculate the equation of the estimated regression line. (Round your answers to six decimal places.) y = Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.) (b) Compute r2. (Round your answer to three decimal places.) (c) Calculate a point estimate of ?. (Round your answer to four decimal places.) On how many degrees of freedom is your estimate based?
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.
he accompanying data are x = advertising share and y = market share for a particular brand of cigarettes during 10 randomly selected years.
| x | 0.103 | 0.073 | 0.071 | 0.077 | 0.086 | 0.047 | 0.060 | 0.050 | 0.070 | 0.052 |
| y | 0.132 | 0.126 | 0.122 | 0.086 | 0.079 | 0.076 | 0.065 | 0.059 | 0.051 | 0.039 |
y =
Obtain the predicted market share when the advertising share is 0.09. (Round your answer to five decimal places.)
(b) Compute r2. (Round your answer to three decimal places.)
(c) Calculate a point estimate of ?. (Round your answer to four decimal places.)
On how many degrees of freedom is your estimate based?
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