Workers at a warehouse of consumer goods gather items from the warehouse to fill customer orders. The number of items in a sample of orders and the time, in minutes, it took the workers to gather the items were recorded. A scatterplot of the recorded data showed a curved pattern, and the square root of the number of items was taken to create a linear pattern. The following table shows computer output from the least-squares regression analysis created to predict the time it takes to gather items from the number of items in an order. Predictor Coef Constant 3.0979 Square root of items 2.7633 R-Sq=96.7% Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 items? 7.99 A 16.06 B 17.29 C 27.49 D 63.89 E
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.
Workers at a warehouse of consumer goods gather items from the warehouse to fill customer orders. The number of items in a sample of orders and the time, in minutes, it took the workers to gather the items were recorded. A
Predictor | Coef |
Constant | 3.0979 |
Square root of items | 2.7633 |
R-Sq=96.7% |
Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if the order has 22 items?
-
7.99
A -
16.06
B -
17.29
C -
27.49
D -
63.89
E
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