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Simple Linear
Regression Model
It indicates how variables are related or to what extent variables
are associated with each other.
• The simple linear regression model is represented like this:
y = (β0 +β1x )
• y- dependent variable
• β0= estimated y intercept (y cut off of the regression line)
• β1= estimated slope
• x= independent variable
• A regression line can show a positive linear relationship, a negative linear
relationship, or no relationship.
• If the graphed line in a simple linear regression is flat (not sloped), there is no
relationship between the two variables.
• If the regression line slopes upward with the lower end of the line at
the y intercept (axis) of the graph, and the upper end of line extending upward
into the graph field, away from the x intercept (axis) a positive linear relationship
exists.
• If the regression line slopes downward with the upper end of the line at
the y intercept (axis) of the graph, and the lower end of line extending
downward into the graph field, toward the x intercept (axis) a negative linear
relationship exists.
Application Simple Linear Regression Model
• Forecasting future opportunities and risks
• Predicts the price/ quantity/ demand/ supply of products and services.

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Lecture 2 ba 2 statistics for business analytics

  • 1. Simple Linear Regression Model It indicates how variables are related or to what extent variables are associated with each other.
  • 2. • The simple linear regression model is represented like this: y = (β0 +β1x ) • y- dependent variable • β0= estimated y intercept (y cut off of the regression line) • β1= estimated slope • x= independent variable
  • 3.
  • 4. • A regression line can show a positive linear relationship, a negative linear relationship, or no relationship. • If the graphed line in a simple linear regression is flat (not sloped), there is no relationship between the two variables. • If the regression line slopes upward with the lower end of the line at the y intercept (axis) of the graph, and the upper end of line extending upward into the graph field, away from the x intercept (axis) a positive linear relationship exists. • If the regression line slopes downward with the upper end of the line at the y intercept (axis) of the graph, and the lower end of line extending downward into the graph field, toward the x intercept (axis) a negative linear relationship exists.
  • 5. Application Simple Linear Regression Model • Forecasting future opportunities and risks • Predicts the price/ quantity/ demand/ supply of products and services.