Question

The scatter plot shows the number of DVDs Aaron sold in different months. The scatter plot has months on the x-axis and DVDs sold on the y-axis, with points at (1, 20), (2, 50), (3, 80), (4, 110), and (5, 140). What is the approximate predicted number of DVDs Aaron will sell in the 13th month?

1) 380
2) 390
3) 400
4) 420

Answer 1

Using a linear regression approach, the approximate predicted number of DVDs Aaron will sell in the 13th month is 380, based on the given data points and the linear trend they suggest.

The correct option is 1.

Step-by-step explanation:

The question involves predicting the number of DVDs Aaron will sell in the 13th month based on the given scatter plot data, which suggests a linear relationship. To predict future sales, we can estimate a linear regression equation using the given points. By computing the slope (change in y divided by change in x) from the points given, we have (140 - 20) / (5 - 1) = 120 / 4 = 30.

So, the slope is 30. Assuming that the y-intercept is the sales at month 0, we can use the first point (1, 20) to calculate the y-intercept as 20 - 30(1) = -10. Thus, the linear equation representing the relationship is y = 30x - 10. Using this equation, we predict sales for the 13th month as y = 30(13) - 10 = 390 - 10 = 380. Therefore, the approximate predicted number of DVDs Aaron will sell in the 13th month is 380.

The correct option is 1.