find eqn for median-median line, line of best fit (& 6 other probs)

For each of the following, use your calculator to find the equation for the median-median line and the line of best fir using the least squares method. You should also list the values of r and r^2. round all decimals to nearest thousandth when necessary.
1. x:5,7,4,9,10,11,3,6,8,8,4,12,9,2
y:31,36,27,45,52,51,20,34,40,42,25,56,45,11
2. x:22,25,30,34,41,20,32,45,51,54,21,55,44,33,60
y:53,62,71,82,91,51,73,103,114,120,50,127,100,72,132
3. Use the linear regression line that you found in problem 1 to predict the value of y when x=10. How close does this prediction come to the value of y in the data table when x=10? Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.
4. Use the median-median line that you found in problem 2 to predict the value of y when x=20. How close does this prediction come to the value of y in the data table when x=20?Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.
5. Explain in your words what a value of r^2=0.9 means
6. What is the purpose of finding a line of best fit? why do we want to find a model for the data?
7. The phrase "association does not imply causation" is used to caution against making an assumption that a strong relationship between two variables does NOT mean that one variable causes another. Give an example of two variable that have a relationship, but one does not cause the other.

palmz said:

For each of the following, use your calculator to find the equation for the median-median line and the line of best fir using the least squares method. You should also list the values of r and r^2. round all decimals to nearest thousandth when necessary.
1. x:5,7,4,9,10,11,3,6,8,8,4,12,9,2
y:31,36,27,45,52,51,20,34,40,42,25,56,45,11
2. x:22,25,30,34,41,20,32,45,51,54,21,55,44,33,60
y:53,62,71,82,91,51,73,103,114,120,50,127,100,72,132
3. Use the linear regression line that you found in problem 1 to predict the value of y when x=10. How close does this prediction come to the value of y in the data table when x=10? Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.
4. Use the median-median line that you found in problem 2 to predict the value of y when x=20. How close does this prediction come to the value of y in the data table when x=20?Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.
5. Explain in your words what a value of r^2=0.9 means
6. What is the purpose of finding a line of best fit? why do we want to find a model for the data?
7. The phrase "association does not imply causation" is used to caution against making an assumption that a strong relationship between two variables does NOT mean that one variable causes another. Give an example of two variable that have a relationship, but one does not cause the other.

Click to expand...

You have posted 31 problems without showing a line of work!

What are your thoughts?

Please share your work with us ...even if you know it is wrong

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/th...Before-Posting

palmz said:

For each of the following, use your calculator to find the equation for the median-median line and the line of best fir using the least squares method. You should also list the values of r and r^2. round all decimals to nearest thousandth when necessary.
1. x:5,7,4,9,10,11,3,6,8,8,4,12,9,2
y:31,36,27,45,52,51,20,34,40,42,25,56,45,11
2. x:22,25,30,34,41,20,32,45,51,54,21,55,44,33,60
y:53,62,71,82,91,51,73,103,114,120,50,127,100,72,132

Click to expand...

Okay. You've plugged these into the technology they told you to use (your graphing calculator, a spreadsheet, some program, etc). What did you get? What is your question?

palmz said:

3. Use the linear regression line that you found in problem 1 to predict the value of y when x=10.

Click to expand...

So you plugged the given value in for the variable in the specified formula, simplified to get the result, and... then what?

palmz said:

How close does this prediction come to the value of y in the data table when x=10? Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.

Click to expand...

What did you find when you compared?

palmz said:

4. Use the median-median line that you found in problem 2 to predict the value of y when x=20. How close does this prediction come to the value of y in the data table when x=20?Be sure to give the value you calculate for y (round to the nearest tenth) and then compare it to the y-value in the table.

Click to expand...

Same questions as for (3).

palmz said:

5. Explain in your words what a value of r^2=0.9 means

Click to expand...

What are your thoughts?

palmz said:

6. What is the purpose of finding a line of best fit? why do we want to find a model for the data?

Click to expand...

Think about all the examples you've seen. Think about all the exercises you've worked. What has been the point? What, in "real life", would be the point?

palmz said:

7. The phrase "association does not imply causation" is used to caution against making an assumption that a strong relationship between two variables does NOT mean that one variable causes another. Give an example of two variable that have a relationship, but one does not cause the other.

Click to expand...

If you're unable to come up with something on your own, try Google-ing the phrase. See what you can find.