QuestionThe scatterplot shows the relationship between two variables, and . A line of best fit is also shown.
Which of the following equations best represents the line of best lit shown?
Studdy Solution
STEP 1
1. The line of best fit is a linear equation in the form .
2. The line passes through two identifiable points on the scatterplot.
3. The slope of the line can be determined using the two points.
4. The y-intercept can be identified from the graph.
STEP 2
1. Identify two points on the line of best fit.
2. Calculate the slope of the line.
3. Determine the y-intercept.
4. Write the equation of the line.
5. Verify the equation with the given options.
STEP 3
Identify two points on the line of best fit. From the image description, the line passes through approximately the points and .
STEP 4
Calculate the slope of the line using the formula:
Substitute the points and :
STEP 5
Determine the y-intercept . From the point , we can see that the line crosses the y-axis at . Thus, .
STEP 6
Write the equation of the line using the slope-intercept form :
STEP 7
Verify the equation with the given options. The equation should match one of the provided options.
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