Question

Mr. Dylan asks his students throughout the year to record the number of hours per week they spend practicing math at home. At the end of the year, he creates a scatter plot that models the relationship between exam score and time spent practicing. Which line of best fit will give Mr. Dylan the most accurate linear equation in order to make predictions about this relationship?

Answer 1

Answer:

The second plot.

Step-by-step explanation:

In the picture attached, the scatter plots are shown.

The second plot has minimum residuals and its residuals are randomly distributed. Residual is computed as follows:

residual = measured - predicted

It easy to see that residuals of the first option are greater than the second option.

Line of the second option is better than those from third and fourth options because residuals of the second option are randomly distributed, while in the third option, residuals are mostly negative; and in the fourth option, they are mostly positive.