Question

Alexa created the line of best fit shown for the data points graphed. Is the line a good representation for this data? Explain your reasoning.

Answer 1

The line of best fit is a good representation for the data because it minimizes the overall distance between the data points and the line.

Step-by-step explanation:

The line of best fit is a good representation for the data because it minimizes the overall distance between the data points and the line. It shows the general trend and relationship between the variables. To determine if there are any outliers, we can visually inspect the data points and see if there are any that are significantly different from the rest. The least-squares line may not be valid for predicting the cost of a 300 oz. size of the laundry detergent if the data points near that value deviate significantly from the line. The slope of the least-squares line represents the rate of change of the dependent variable for each unit increase in the independent variable. Interpretation of the slope would depend on the context of the data.

Answer 2

The answer to your question is below

Step-by-step explanation:

According to me, this line does not represent the behavior of the data, because most of the points are over the line and a good representative line must have a similar or equal amount of points over and below it.

For this experiment, I suggest drawing a line that passes through the points (0,0) and (9,4).