naomi drew lines of best fit for two scatter plots, as shown.\nwhich statement describes the placement of…
naomi drew lines of best fit for two scatter plots, as shown.\nwhich statement describes the placement of the lines naomi drew?\na. only line a is a well - placed line of best fit.\nb. only line b is a well - placed line of best fit.\nc. both line a and line b are well - placed lines of best fit.\nd. neither line a nor line b is a well - placed line of best fit.
Answer
Explanation:
Step1: Recall line - of - best - fit concept
A line of best fit should be as close as possible to all the data points in a scatter - plot, minimizing the sum of the squared vertical distances from the points to the line.
Step2: Analyze Line A
For Line A, the points are somewhat scattered around the line, but the line seems to capture the general upward - trend of the data points. However, there are several points that are relatively far from the line.
Step3: Analyze Line B
For Line B, the points are also scattered around the line, and the line captures the general downward - trend of the data points. But again, there are quite a few points that are at a significant vertical distance from the line.
Step4: Make a conclusion
Since both lines have several points that are far from them, neither line A nor line B is a well - placed line of best fit.
Answer:
D. Neither line A nor line B is a well - placed line of best fit.