Thread: Matrix Linear relationship

I have 4 numbers: The Average hours of study per week and the scores achieved of 2 students

The numbers are 7 hours with a score of 75.45 and 20 hours with a score of 92.2 and the question asks me to use matrcies to find if there is a linear relationship between the two. I don't quite understand how to find if there is a linear relationship.
I thought about using Gauss elimination but then realised that didn't really help me..

Originally Posted by CookieC

I have 4 numbers: The Average hours of study per week and the scores achieved of 2 students

The numbers are 7 hours with a score of 75.45 and 20 hours with a score of 92.2 and the question asks me to use matrcies to find if there is a linear relationship between the two. I don't quite understand how to find if there is a linear relationship.
I thought about using Gauss elimination but then realised that didn't really help me..

I don't understand your question. Can you post the question you are giving verbatum?

Make A table using "Average number of hours/week spent on homework" and "Score of exam" for the columns and fill in values. The values I got were 7 hours of homework and they received a score of 75.45% and the other was 20 hours of homework and 92.2%. Use matrices to find, if possible, a linear relationship between average hours spent on HW and Score

Originally Posted by CookieC

Make A table using "Average number of hours/week spent on homework" and "Score of exam" for the columns and fill in values. The values I got were 7 hours of homework and they received a score of 75.45% and the other was 20 hours of homework and 92.2%. Use matrices to find, if possible, a linear relationship between average hours spent on HW and Score

A linear relationship as in a line of the form y = mx + b?

If so, you only have 2 points so it forms a line.

My lecturer only wrote "a linear relationship" and didn't quite specify anything and that was the part I didn't understand. I didn't know what she meant by a linear relationship..

Originally Posted by CookieC

My lecturer only wrote "a linear relationship" and didn't quite specify anything and that was the part I didn't understand. I didn't know what she meant by a linear relationship..

What is the title of the course you are in?

Math203- Linear Algebra

Originally Posted by CookieC

Math203- Linear Algebra

Do you have a data table or just those two data points? I think you need to use ordinary least squares but you need more points.

That's the only information that was given. I only have 4 numbers which is why it confused me so much