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.

Respuesta :

Answer:

Option C) [tex]b_1[/tex] is the slope

Step-by-step explanation:

We are given the following in the question:

The estimated regression equation is:

[tex]\hat{Y} = b_0 + b_1x[/tex]

where [tex]\hat{Y}[/tex] 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,

[tex]y = mx + c[/tex]

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 =

[tex]b_1[/tex]

Intercept, c =

[tex]b_0[/tex]

Thus, the correct answer is:

Option C) [tex]b_1[/tex] is the slope

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