Question

A teacher gathered data about the number of hours her students spent studying for a test and their resulting test grades. She found that on average, for every 30 minutes studied, the grade increased by 8 points. Which statements about this relationship are true? Check all that apply.

Answer 1

The data set would have a linear association.

The data set would have a positive correlation.

Students that study more tend to earn better grades on the test.

Answer 2

The data set would have a linear association.

The data set would have a positive correlation.

Students that study more tend to earn better grades on the test.

Explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

Given the information:

"for every 30 minutes studied, the grade increased by 8 points"

=> The rate of change of marks for 30 mins is 8

and in 1 hour = 60 mins = 2*30 mins

=> The rate of change of marks for 60 mins is: 2*8 =16

=> The data set would have a linear association.

Moreover, as analysed above, we can conclude that students that study more tend to earn better grades on the test so the data set would have a positive correlation.

We choose 3 options:

• The data set would have a linear association.
• The data set would have a positive correlation.
• Students that study more tend to earn better grades on the test.

Hope it will find you well.