Question

In the following estimated regression equation Ŷ = b0 + b1x, a. b1 is the intercept. b. b1x is the slope. c. b1 is the slope. d. b1x is the intercept.

Answer 1

Answer:

Option C) $b_1$ is the slope

Step-by-step explanation:

We are given the following in the question:

The estimated regression equation is:

$\hat{Y} = b_0 + b_1x$

where $\hat{Y}$ is the dependent variable and need to be predicted and x is the independent variable and is the predictor.

If we compare this regression equation to slope intercept form of straight line,

$y = mx + c$

Here, m is the slope if the line and c is the y-intercept hat is the value of y when x is zero.

Comparing the regression equation to the slope intercept form, we get,

Slope, m =

$b_1$

Intercept, c =

$b_0$

Thus, the correct answer is:

Option C) $b_1$ is the slope