Question

Which of the following is the slope in the regression equation Y = 21 - 3X

Answer 1

Answer:

The slope of the Equation is -3 .

Step-by-step explanation:

Given Equation

Y = 21 -3X

To Find : Slope of the Equation

Solution :

To find the slope of the given equation we have to differentiate the given equation with respect to 'x'

Differentiating the equation with respect to 'x' we get

                   $\frac{d}{dX}(Y)=\frac{d}{dX}(21-3X)$

                         $\frac{dY}{dX}=-3$

Hence the slope of the equation which is defined in the form of $\frac{dY}{dX}$ is -3.

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Answer 2

Answer:

The Slope of the given equation is found to be -3.

Step-by-step explanation:

Regression:

Linear regression attempts to model the relationship between two variables by applying linear equations to the observed data. One variable is considered  an explanatory variable and the other variable is considered  a dependent variable.

For example, modelers want to use a linear regression model to relate a person's weight to height. Before trying to fit a linear model to observational data, the modeler must first determine if there is a relationship between the variables of interest.

This does not necessarily mean that one variable causes the other (for example, the higher the SAT score, the higher the college grade), and there is a significant association between the two variables. Means that there is. Scatter plots are a useful tool for determining the strength of the relationship between two variables.

If  the proposed explanatory and dependent variables appear to be unrelated (that is, the scatter plot does not show an increasing or decreasing trend), then fitting the linear regression model to the data is still a useful model.

Equation:

The linear regression line has an equation of the form Y = a + bX. Where X is the explanatory variable and Y is the dependent variable. Let b be the slope of the straight line, and let a be the intersection (the value of y when x = 0).

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