Question

Ms. MacArthur surveyed students to find the amount of time they spent reading and watching TV last week. The scatter plot below shows the results of her survey and a linear model for her data.James said that, according to the data a student whi watches 6 hours of Tv each week will read for 10 hours ecah week. is james correct why or why not ?

Answer 1

The correct statement include the following: C. Yes, because the line of best fit passes through the point (10, 6).

In Mathematics and Statistics, there are different characteristics that are used for determining the line of best fit on a scatter plot and these include the following:

• The line should be very close to the data points as much as possible.
• The number of data points that are above the line should be equal to the number of data points that are below the line.

By critically observing the scatter plot shown above, we can logically deduce that the line of best fit passes through the point (10, 6). This ultimately implies that, a student who watches Tv for 6 hours per week, would read for 10 hours each week.

Answer 2

No, because James has confused the hours of watching tv with the hours of reading.

Explanation:

This is incorrect. According to the graph, what we have is a point on the line at (6, 10), which implies that a student who reads for 6 hours will watch tv for 10 hours.

It is very likely that James is confusing the hours of watching tv with the hours of reading.