The following multiple regression printout can be used to predict the number of items sold given the current price (in dollars), the competitor's current price (in dollars), and average income generated by the product (in dollars). Regression Analysis: Unit Sales (Q) Versus Price ($), Competitor's Price ($), Income ($) Coefficients Term Coef SE Coef T-Value P-Value Constant 1,322,758 359,134 3.683 0.001 Price ($) -79, 682 35,835 -2.224 0.031 Competitor Price ($) 31,481 31,392 1.003 0.321 Income ($) -17.71 5.84 -3.033 0.004 (a) Is the regression coefficient of competitor's price statistically significant? (Use a = 0.05.) The regression coefficient of competitor's price ---Select--- E statistically significant. (b) Does the variable competitor's price belong in the model? The variable competitor's pric v ---Select--- |belong in the model. may may not
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.
![The following multiple regression printout can be used to predict the number of items sold given the current price (in dollars), the competitor's current price (in dollars), and average income generated
by the product (in dollars).
Regression Analysis: Unit Sales (Q) Versus Price ($),
Competitor's Price ($), Income ($)
Coefficients
Term
Coef
SE Coef
T-Value
P-Value
Constant
1,322,758
359,134
3.683
0.001
Price ($)
-79,682
35,835
-2.224
0.031
Competitor Price ($)
31,481
31,392
1.003
0.321
Income ($)
-17.71
5.84
-3.033
0.004
(a) Is the regression coefficient of competitor's price statistically significant? (Use a =
0.05.)
The regression coefficient of competitor's price ---Select---
O statistically significant.
(b) Does the variable competitor's price belong in the model?
The variable competitor's pric v ---Select---
| belong in the model.
may
may not
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