Question

The scatter plot and regression line below show the relationship between the percentage of American adults who smoke and years since 1945.

The fitted line has a y-intercept of 41.
What is the best interpretation of this y-intercept?
A.The model indicates that 41% of American
adults smoked in 1945

B.41% of American adults smoke.

C.In 1945,approximately 0% of American adults were smokers

D.The model indicates that approximately 41% of Americans adults smoked in 1985

Answer 1

The y-intercept of the regression line, which is 41, indicates that approximately 41% of American adults smoked in the base year of the study, which is 1945.

Step-by-step explanation:

The y-intercept of the regression line in a scatter plot showing the relationship between the percentage of American adults who smoke and years since 1945 is 41. This y-intercept value represents the expected percentage of American adults who would have smoked in the year 1945, the base year of the time series being examined. Therefore, the best interpretation of this y-intercept is that in 1945, about 41% of American adults smoked, which matches option A.

Answer 2

Answer: The model indicates that 41% of American Adults smoked in 1945

Step-by-step explanation:

The y-intercept of the model describes the average y value when x=0

In this case x=0 refers to the year 1945 since the x variables defined as years after 1945.