Question

the scatter - plot shows the relationship between two variables, x and y. which of the following equations is the most appropriate linear model for the data shown? a) y = 0.9+9.4x b) y = 0.9 - 9.4x c) y = 9.4+0.9x d) y = 9.4 - 0.9x 2.5b + 5r = 80 the given equation describes the relationship between the number of birds, b, and the number of

Explanation:

Step1: Observe the scatter - plot trend

The value of y decreases as x increases, so the slope of the linear model should be negative.

Step2: Analyze each option

Options A and C have positive slopes (9.4 and 0.9 respectively), so they can be excluded.

Step3: Consider the intercept

When x = 0, y - value should be around 9 or 10. For option B: when x = 0, y=0.9 which is too small. For option D: when x = 0, y = 9.4 which is more consistent with the scatter - plot.

Answer:

D. $y = 9.4-0.9x$