Question

The scatter plot shows the number of hours worked and money spent on entertainment by each of 25 students. Also shown is the line of best fit for the data.Fill in the blanks below.options for the blanks. (increase, decrease, stay the same.)

Answer 1

We have in this scatter plot a high correlation between the variables. This correlation is positive.

Question a

For question a, we can see that as the number of hours worked by these 25 students increases, the amount of money also increases. Therefore, we can say that the amount of money spent tends to increase.

Question b

In this case, we have that the correlation between these variables is positive: as the values of one variable increases the other increases too. Therefore: For these 25 students, there is a positive correlation.

Question c

To predict that a student working 12 hours would spend a certain number of dollars, we need to use the line in the graph, We need to find, x = 12, and, then, we need to find the corresponding y-coordinate for x. In this case, we have that, for x = 12, we have that the value is near $30. From the choices, we have that the nearest value is $28.

In summary:

a ---> increase

b ---> a positive

c ---> $28