RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The equation y =-2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope?
A
For each hour of mowing, the mower is predicted to use 2 gallons.
B
the predicted amount of gas the lawnmower can hold is 2 gallons
C
For every two hours of mowing, the mower is predicted to use 7 gallons.
D
The predicted amount of gas remaining after 1 hour is 2 gallons.
Explanation: 

Detailed explanation-1: -The equation y =-2x + 7 models the amount of gas remaining in a lawnmower after x hours of use since it was filled. What is the meaning of the slope? For each hour of mowing, the mower is predicted to use 2 gallons.

Detailed explanation-2: -The difference between the actual value of the dependent variable y (in the sample date) and the predicted value of the dependent variable ^y obtained from the linear regression equation is called the error or residual.

Detailed explanation-3: -Linear regression is one of the most commonly used predictive modelling techniques.It is represented by an equation = + + , where a is the intercept, b is the slope of the line and e is the error term. This equation can be used to predict the value of a target variable based on given predictor variable(s).

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