Solving Maths Problems: Using Excel for Finding Values of s and r

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To find the values of s and r from the formula x=(y/s)^r using Excel, the discussion emphasizes the need to linearize the equation by taking logarithms. Users are guided to input x values in one column and y values in another, then calculate the logarithms of both sets of values in subsequent columns. A scatter plot of ln(y) versus ln(x) should yield a linear relationship, allowing for the extraction of s and r from the slope and intercept of the best-fit line. However, confusion arises when the plot appears curved instead of linear, indicating a potential issue with the data or calculations. Properly following these steps should facilitate the extraction of the desired parameters.
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Homework Statement



I have a formula:
x=(y/s)^r

I am given data: 6 values for x and the corresponding 6 values for y.
I am to find the values of s and r.
I could take logarithms and make this formula linear then use linear regression (as in statistics) and do the method of least squares.
But i was told that using excel is much simpler (where i don't need to put this in terms of logarithms)
But how do i use excel for such a problem?

Homework Equations





The Attempt at a Solution



I typed in the values of x in the first excel column, and the values of y in the second. but then i got stuck. i have no idea how to and where to type in the formula.
Thank you
 
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I believe you still need to linearize the formula. Consider what happens when you plot ln(y) versus ln(x). Excel can then give you an equation for the resulting plot of best fit. Using your linearized formula (what is it?), you should be able to easily extract s and r.
 
The linearized formula is:
ln(y)=(-1/r)ln(x)+ln(s)
so -1/r will be the gradient and ln(s) is the intercept of the plot ln(y) versus ln(x)
how do i plot this on excel?
Do i first type in the given values of x in column A and the given values of y in column B?
 
In column A, i typed the 6 values of x, and in B i typed the 6 values of y.
then in column C, i did: =log(A2) for the first one. and did the same for the rest.
in coulmn d, i did =log(B2) and the same for the rest.
The i did a scatter plot.
but this gave me a curve.
shouldnt it be a line?
And how can i then extract s and r?
thank you
 
sara_87 said:
In column A, i typed the 6 values of x, and in B i typed the 6 values of y.
then in column C, i did: =log(A2) for the first one. and did the same for the rest.
in coulmn d, i did =log(B2) and the same for the rest.
The i did a scatter plot.
but this gave me a curve.
shouldnt it be a line?
And how can i then extract s and r?
thank you

I presume the values in column A begin in cell A2, and in column B begin in cell B2? Can you just list the values you were given for x and y?
 

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