Questions: Question 4 Which line best fits the data shown in the scatter plot? y = -0.5x + 3 y = 0.5x - 3 y = -0.5x - 3 y = -3x - 0.5

Transcript text: Question 4 Which line best fits the data shown in the scatter plot? $y=-0.5 x+3$ $y=0.5 x-3$ $y=-0.5 x-3$ $y=-3 x-0.5$

Solution

Solution Steps

Step 1: Analyze the scatter plot

The scatter plot shows a negative correlation, meaning as x increases, y decreases. This eliminates the option $y = 0.5x - 3$. The line also appears to cross the y-axis below the origin, indicating a negative y-intercept.

Step 2: Evaluate the remaining options

The remaining options with negative slopes and y-intercepts are $y = -0.5x - 3$ and $y = -3x - 0.5$. Visually, the slope of the line of best fit appears closer to -0.5 than -3.

Step 3: Confirm with points

The point (-4,-1) is approximately on the line of best fit. Plugging in $x=-4$ to $y = -0.5x - 3$, $y = -0.5(-4) - 3 = 2 - 3 = -1$.