Question

soccer and basketball.
□ twice as many females than
males like basketball.

1. select the appropriate linear model

for the scatter plot below.
scatter plot with x-axis 0-8, y-axis 0-8, line and points
a ( y = -x + 0.5 ) c ( y = x + 0.5 )
b ( y = -x - 0.5 ) d ( y = x - 0.5 )
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Explanation:

Step1: Check slope direction

The line in the scatter plot has a positive slope, so eliminate options A (\(y=-x+0.5\)) and B (\(y=-x-0.5\)) which have negative slopes.

Step2: Check y-intercept

The line crosses the y-axis near \(y=-0.5\) (since it starts below the origin). Option C (\(y=x+0.5\)) has a positive intercept, while option D (\(y=x-0.5\)) has a negative intercept matching the plot.

Step3: Verify with points

Take \(x=2\): \(y=2-0.5=1.5\) (close to the point at \(x=2\), \(y≈1.5\)). Take \(x=6\): \(y=6-0.5=5.5\) (matches the line's position at \(x=6\)). Thus D is correct.

Answer:

D. \( y = x - 0.5 \)