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

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Itsjuststephy Itsjuststephy · Answer 1 · 2020-04-17T14:39:13+02:00

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.

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MrRoyal MrRoyal · Answer 2 · 2021-12-16T16:14:13+01:00

The y-intercept of a regression line is the point where the line crosses the y-axis.

The best interpretation of the y-intercept is (d) the model indicates that approximately 41% of Americans adults smoked in 1985

The graph touches the y-axis at approximately 41%.

At this point the value of x is 0

At x = 0, the year is 1985.

So, the y-intercept represents that approximately 41% of Americans adults smoked in 1985

Hence, the true option is (d)