Answer :
The most appropriate linear model for the data shown in the scatterplot is B) y = -1.9x + 10.1.
To determine the most appropriate linear model for the data shown in the scatterplot, we identify the equation that best fits the downward trend of the points.
Given Options:
A) y = -1.9x - 10.1
B) y = -1.9x + 10.1
C) y = 1.9x - 10.1
D) y = 1.9x + 10.1
Slope: Since the scatterplot shows a negative correlation (points trend downward from left to right), the slope of the line should be negative. Therefore, options C and D can be eliminated because they have positive slopes.
Intercept: We can estimate the y-intercept by looking at where the line would cross the y-axis (where x=0). The points suggest the intercept is around 10, meaning the correct equation likely has a positive intercept.
Now, we compare options A and B. The y-intercept in option B (+10.1) is more likely to fit the data shown in the scatterplot than the y-intercept in option A (-10.1).
Thus, the correct equation is B) y=−1.9x+10.1.
