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# Using Linest To Calculate Error

The error in slope excel Linest() function in Excel gives the error (or uncertainty) how to calculate error in slope for data in the lab.  It calculates the statistics for a line error in slope of linear fit by using the "least squares" method to calculate a straight line that best fits your data, and returns an array that standard error of slope calculator describes the line. Because this function returns an array of values, it must be entered as an array formula. An array should be entered in the four boxes.  The array represents the following:

## Uncertainty In Slope Of Best Fit Line

Error in the Slope To determine the +/- error in the slope and the y-intercept, an array must be created.  Go back to the original spreadsheet and highlight 4 empty boxes as shown below. Click the mouse in the formula box and enter the LINEST function. =LINEST(B2:B12,A2:A12,true,true) The B2:B12 interval represent the known y values and the A:2:A12 interval represent the x values.  The LINEST function will evaluate the errors in the slope and y-intercept for a data set. The const and stats should be labeled true and true as shown below. IMPORTANT:   To enter an array, hold down the Ctrl and Shift keys at the same time and then press Enter.

## Formula For Calculating Error In Slope

in Excel (Linear Regression in Physics Lab) January 4, 2013 by Jeff Finding Standard Error of Slope and Y-Intercept using LINEST in Excel (Linear Regression in Physics Lab) In Excel, you can apply a line-of-best fit to any scatterplot. The equation for the fit http://www.fiz-ix.com/2013/01/finding-standard-error-of-slope-and-y-intercept-using-linest-in-excel-linear-regression-in-physics-lab/ can be displayed but the standard error of the slope and y-intercept are not give. To find these statistics, use the LINEST function instead. The LINEST function performs linear regression calculations and is an array function, which means that it returns more than one value. Let's do an example to see how it works. Let's say you did an experiment to measure the spring constant of a spring. You systematically varied the force in slope exerted on the spring (F) and measured the amount the spring stretched (s). Hooke's law states the F=-ks (let's ignore the negative sign since it only tells us that the direction of F is opposite the direction of s). Because linear regression aims to minimize the total squared error in the vertical direction, it assumes that all of the error is in the y-variable. Let's assume that since you control the force error in slope used, there is no error in this quantity. That makes F the independent value and it should be plotted on the x-axis. Therefore, s is the dependent variable and should be plotted on the y-axis. Notice that the slope of the fit will be equal to 1/k and we expect the y-intercept to be zero. (As an aside, in physics we would rarely force the y-intercept to be zero in the fit even if we expect it to be zero because if the y-intercept is not zero, it may reveal a systematic error in our experiment.) The images below and the following text summarize the mechanics of using LINEST in Excel. Since it is an array function, select 6 cells (2 columns, 3 rows). You can select up to 5 rows (10 cells) and get even more statistics, but we usually only need the first six. Hit the equal sign key to tell Excel you are about to enter a function. Type LINEST(, use the mouse to select your y-data, type a comma, use the mouse to select your x-data, type another comma, then type true twice separated by a comma and close the parentheses. DON'T HIT ENTER. Instead, hold down shift and control and then press enter. This is the way to execute an arr

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Standard Error Of A Slope Excel p in Excel Linear Regression in Physics Lab January by Jeff Finding Standard Error of Slope and Y-Intercept using LINEST in Excel Linear Regression in Physics Lab In Excel you can apply a line-of-best fit to any scatterplot The equation for the fit can be displayed but the standard error of the slope and how to calculate error in slope y-intercept are not give To find these statistics use the LINEST function instead The LINEST function standard deviation of slope formula performs linear regression calculations and is an array function which means that it

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Standard Error Of The Slope Excel p in Excel Linear Regression in Physics Lab January by Jeff Finding Standard Error of Slope and Y-Intercept using LINEST in Excel Linear Regression in Physics Lab In Excel you can apply a line-of-best fit to any scatterplot The equation for the fit can be displayed but the standard error of the slope and y-intercept how to calculate error in slope are not give To find these statistics use the LINEST function instead The LINEST function performs linear standard deviation of slope formula regression calculations and is an array function which means that it

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