line relationship
(noun)
A direct relationship between superiors and their subordinates in a work setting.
Examples of line relationship in the following topics:
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Line Structure
- The line structure model of organization is a direct linear relationship of command and deference between superiors and their subordinates.
- Colonels and generals have a line relationship; generals give orders to the colonels, and the colonels are directly responsible for carrying them out.
- An example of a simple hierarchical organizational chart is the line relationship that exists between superiors and subordinates.
- An example of a "line relationship" (or chain of command in military relationships) in would be between the manager and the two supervisors.
- An example of a "line relationship" (or chain of command in military relationships) in this chart would be between the manager and the two supervisors.
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Beginning with straight lines
- Such plots permit the relationship between the variables to be examined with ease.
- While the relationship is not perfectly linear, it could be helpful to partially explain the connection between these variables with a straight line.
- Straight lines should only be used when the data appear to have a linear relationship, such as the case shown in the left panel of Figure 7.6.
- The right panel of Figure 7.6 shows a case where a curved line would be more useful in understanding the relationship between the two variables.
- We only consider models based on straight lines in this chapter.
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Hypothesis Tests with the Pearson Correlation
- We test the correlation coefficient to determine whether the linear relationship in the sample data effectively models the relationship in the population.
- We can use the regression line to model the linear relationship between $x$ and $y$ in the population.
- Therefore we can NOT use the regression line to model a linear relationship between $x$ and $y$ in the population.
- (We do not know the equation for the line for the population.
- Our regression line from the sample is our best estimate of this line in the population. )
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Equations of Lines and Planes
- A line is a vector which connects two points on a plane and the direction and magnitude of a line determine the plane on which it lies.
- A line is described by a point on the line and its angle of inclination, or slope.
- Every line lies in a plane which is determined by both the direction and slope of the line.
- The components of equations of lines and planes are as follows:
- Explain the relationship between the lines and three dimensional geometric objects
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Product Line Breadth
- The breadth of the product mix consists of all the product lines that the company has to offer to its customers.
- What products will be offered (i.e., the breadth and depth of the product line)?
- In this unit, you're going to learn about the relationship between the breadth of the product line and the product mix.
- An individual product is a particular product within a product line.
- Describe the relationship between product line breadth and the product marketing mix
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Homework
- What does it imply about the significance of the relationship?
- What does it imply about the significance of the relationship?
- What does it imply about the significance of the relationship?
- What does it imply about the significance of the relationship?
- What does it imply about the significance of the relationship?
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Implied Line
- Implied lines are suggested lines that give works of art a sense of motion, and keep the viewer engaged in a composition.
- The quality of a line refers to the character that is presented by a line in order to animate a surface to varying degrees.
- Rather than actual visible lines, implied lines are more like visual prompts, or suggested lines.
- Both set up a diagonal relationship that implies movement to the viewer.
- Implied lines are found in three-dimensional artworks as well.
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Assumptions in Testing the Significance of the Correlation Coefficient
- We are examining the sample to draw a conclusion about whether the linear relationship that we see between x and y in the sample data provides strong enough evidence so that we can conclude that there is a linear relationship between x and y in the population.
- The regression line equation that we calculate from the sample data gives the best fit line for our particular sample.
- We want to use this best fit line for the sample as an estimate of the best fit line for the population.
- There is a linear relationship in the population that models the average value of y for varying values of x.
- Our regression line from the sample is our best estimate of this line in the population. )
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Describing linear relationships with correlation
- If the relationship is strong and positive, the correlation will be near +1.
- It appears no straight line would fit any of the datasets represented in Figure 7.11.
- We'll leave it to you to draw the lines.
- In general, the lines you draw should be close to most points and reflect overall trends in the data.
- In each case, there is a strong relationship between the variables.
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Least-Squares Regression
- Finding the best fit line is based on the assumption that the data are scattered about a straight line.
- Any other potential line would have a higher SSE than the best fit line.
- Therefore, this best fit line is called the least squares regression line.
- Ordinary Least Squares (OLS) regression (or simply "regression") is a useful tool for examining the relationship between two or more interval/ratio variables assuming there is a linear relationship between said variables.
- If there is a linear relationship between two variables, you can use one variable to predict values of the other variable.