Question

a scatter plot is shown below.which equation describes the line of best fit for the scatter plot?a. ( y = 0.37x - 4 )b. ( y = 0.37x )c. ( y = 2.7x - 4 )d. ( y = 2.7x )

Explanation:

Step1: Analyze slope direction

The scatter plot shows a positive correlation, so slope is positive (all options have positive slopes, so check magnitude).

Step2: Estimate slope magnitude

Pick two points: e.g., (1, ~2) and (3, ~7). Slope = $\frac{7-2}{3-1} = 2.5$, close to 2.7 (eliminates A/B with 0.37).

Step3: Check y-intercept

When x=0, the line should pass near the lower left. Option C has intercept -4, but the plot has points near x=1,y=0 (e.g., x=1,y≈0: 2.71 -4 = -1.3; 2.71=2.7 is too high? Wait, better: x=1,y≈2: 2.71=2.7 (close); x=2,y≈4:2.72=5.4 (close); x=3,y≈7:2.7*3=8.1 (close). Option C at x=1:2.7-4=-1.3 (not near data). So D is better.

Answer:

D. $y=2.7x$