Linear Least Squares Excel Template

In summary: Another way to prevent this is to add a small positive quantity to the denominator, so (for example) instead of dividing by some quantity D you divide by something like D + 0.000001. That will make no practical difference in almost every real case. Alternatively, you could divide by max(D, .000001); so as long as D >= 0.000001 the denominator is not changed: it is still D.Another way to prevent this is to add a small positive quantity to the denominator, so (for example) instead of dividing by some quantity D you divide by something like D + 0.000001. That will make no practical difference in almost every real case. Alternatively, you could divide
  • #1
danielu13
67
0

Homework Statement


I had to make a Linear Least Squares Excel template for my first week's Physics lab to analyze linear data for the rest of the semester. All of my values come out correctly, except the standard deviation values. I was wondering if someone could take a look at my template and see what the problem is.


Homework Equations





The Attempt at a Solution


See attached file.
 

Attachments

  • PY 201 Linear Least Squares Template.xls
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  • #2
danielu13 said:

Homework Statement


I had to make a Linear Least Squares Excel template for my first week's Physics lab to analyze linear data for the rest of the semester. All of my values come out correctly, except the standard deviation values. I was wondering if someone could take a look at my template and see what the problem is.


Homework Equations





The Attempt at a Solution


See attached file.

You are using D (E26) in formulas before you calculate it. Your formulas for m and b need to come after (i.e., below or to the right of) values that are used to compute them.
 
  • #3
Okay, I didn't realize that Excel worked in order like that. So it would work correctly if I put m and b below the D calculation, or could I put a new cell above these that is =E26, and change E26 for the new cell in the calculation formulas for m and b?
 
  • #4
danielu13 said:
Okay, I didn't realize that Excel worked in order like that. So it would work correctly if I put m and b below the D calculation,
Yes.
danielu13 said:
or could I put a new cell above these that is =E26, and change E26 for the new cell in the calculation formulas for m and b?
I don't know what you're saying here. At any rate, you don't want to use a value in a formula before you have computed it. That's why you had all those #DIV/0! errors.
 
  • #5
Mark44 said:
Yes.
I don't know what you're saying here. At any rate, you don't want to use a value in a formula before you have computed it. That's why you had all those #DIV/0! errors.

Another way to prevent this is to add a small positive quantity to the denominator, so (for example) instead of dividing by some quantity D you divide by something like D + 0.000001. That will make no practical difference in almost every real case. Alternatively, you could divide by max(D, .000001); so as long as D >= 0.000001 the denominator is not changed: it is still D.

RGV
 

1. What is a Linear Least Squares Excel Template?

A Linear Least Squares Excel Template is a tool that allows you to perform linear regression analysis on a set of data in Microsoft Excel. It uses the method of least squares to find the line of best fit for a given set of data points.

2. How do I use the Linear Least Squares Excel Template?

To use the Linear Least Squares Excel Template, you first need to input your data into an Excel spreadsheet. Then, open the template and select the data range that you want to use for the regression analysis. The template will automatically calculate the line of best fit and provide you with the necessary statistics and visualizations.

3. Can I customize the Linear Least Squares Excel Template?

Yes, you can customize the template by adjusting the input data range and changing the labels and formatting of the output. You can also add additional data points to see how they affect the line of best fit.

4. What is the significance of the R-squared value in the Linear Least Squares Excel Template?

The R-squared value, also known as the coefficient of determination, measures how well the line of best fit fits the data points. It ranges from 0 to 1, with a higher value indicating a better fit. A value of 1 means that all data points fall exactly on the line, while a value of 0 means the line does not fit the data at all.

5. Can I use the Linear Least Squares Excel Template for non-linear data?

No, the Linear Least Squares Excel Template is specifically designed for linear data. If you have non-linear data, you will need to use a different regression analysis method or a different tool altogether.

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