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I said, '["I Gotta Feeling"] is happy, but I like it. I like it better with mistakes — I make mistakes. With me singing it, it gives it a different kind of swagger to it". In the chorus, both of them sang together.

The last rap verse is performed by Timbaland's brother Sebastianbut he is uncredited. Music video[ edit ] Timbaland and Katy Perry singing together The music video was filmed in December I wanna make it like she saved my life with whatever depression I was going through, whether it be drug depression, weight-loss depression — something You prepare a series of "standard solutions" of the substance that you intend to measure, measure the signal e.

Draw a straight line as close as possible to the points on the calibration curve or a smooth curve if a straight line won't fitso that as many points as possible are right on or close to the curve.

How do you use a calibration curve to predict the concentration of an unknown sample? How do you determine concentration from a non-linear calibration plot? This can be done in two ways, graphically and mathematically. Graphically, draw a horizontal line from the signal of the unknown on the y axis over to the calibration curve and then straight down to the concentration x axis to the concentration of the unknown.

Mathematically, fit an equation to the calibration data, and solve the equation for concentration as a function of signal.

Worksheet for analytical calibration curve

Then, for each unknown, just plug its signal into this equation and calculate the concentration. Click here for a fill-in-the-blank OpenOffice spreadsheet that does this for you. How do I know when to use a straight-line curve fit and when to use a curved line fit like a quadratic or cubic? Fit a straight line to the calibration data and look at a plot of the "residuals" the differences between the y values in the original data and the y values computed by the fit equation.

Deviations from linearity will be much more evident in the residuals plot than in the calibration curve plot. If the residuals are randomly scattered all along the best-fit line, then it means that the deviations are caused by random errors such as instrument noise or by random volumetric or procedural errors; in that case you can use a straight line linear fit. If the residuals have a smooth shape, like a "U" shape, this means that the calibration curve is curved, and you should use a non-linear curve fit, such as a quadratic or cubic fit.

If the residual plot has a "S" shape, you should probably use a cubic fit. What if my calibration curve is linear at low concentrations but curves off at the highest concentrations? You can't use a linear curve fit in that case, but if the curvature is not too severe, you might be able to get a good fit with a quadratic or cubic fit. If not, you could break the concentration range into two regions and fit a linear curve to the lower linear region and a quadratic or cubic curve to the higher non-linear region.

What is the difference between a calibration curve and a line of best fit? What is the difference between a linear fit and a calibration curve. The calibration curve is an experimentally measured relationship between concentration and signal.

You don't ever really know the true calibration curve; you can only estimate it at a few points by measuring a series of standard solutions.

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Then draw a line or a smooth curve that goes as much as possible through the points, with some points being a little higher than the line and some points a little lower than the line. That's what we mean by that is a "best fit" to the data points. The actual calibration curve might not be perfectly linear, so a linear fit is not always the best. A quadratic or cubic fit might be better if the calibration curve shows a gradual smooth curvature.

Why does the slope line not go through all points on a graph? That will only happen if you 1 are a perfect experimenter, 2 have a perfect instrument, and 3 choose the perfect curve-fit equation for your data.

That's not going to happen. There are always little errors. The least-squares curve-fitting method yields a best fit, not a perfect fit, to the calibration data for a given curve shape linear.

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Points that fall off the curve are assumed to do so because of random errors or because the actual calibration curve shape does not match the curve-fit equation. Actually, there is one artificial way you can make the curve go through all the points, and that is to use too few calibration standards: But that's not really recommended, because if one of your calibration points is really off by a huge error, the curve fit will still look perfect, and you'll have no clue that something's wrong.

You really have to use more standards that that so that you'll know when something has gone wrong.

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What happens when the absorbance reading is higher than any of the standard solutions? If you're using a curve-fit equation, you'll still get a value of concentration calculated for any signal reading you put in, even above the highest standard. It could continue straight or it could curve off in some unexpected way - how would you know for sure?

It's best to add another standard at the high end of the calibration curve. What's the difference between using a single standard vs multiple standards and a graph? The single standard method is the simplest and quickest method, but it is accurate only if the calibration curve is known to be linear. Using multiple standards has the advantage that any non-linearity in the calibration curve can be detected and avoided by diluting into the linear range or compensated by using non-linear curve fitting methods.

On the other hand, an obvious disadvantage of the multiple standard method is that it requires much more time and uses more standard material than the single standard method. What's the relationship between sensitivity in analysis and the slope of standard curve?

Sensitivity is defined as the slope of the standard calibration curve. How do you make a calibration curve in Excel or in OpenOffice? Put the concentration of the standards in one column and their signals e. Then make an XY scatter graphputting concentration on the X horizontal axis and signal on the Y vertical axis. Plot the data points with symbols only, not lines between the points.

To compute a least-squares curve fit, you can either put in the least-squares equations into your spreadsheet, or you can use the built-in LINEST function in both Excel and OpenOffice Calc to compute polynomial and other curvilinear least-squares fits. For examples of OpenOffice spreadsheets that graphs and fits calibration curves, see Worksheets for Analytical Calibration Curves. What's the difference in using a calibration curve in absorption spectrometry vs other analytical methods such a fluorescence or emission spectroscopy?

The only difference is the units of the signal. In absorption spectroscopy you use absorbance because it's the most nearly linear with concentration and in fluorescence or emission spectroscopy you use the fluorescence or emission intensity, which is usually linear with concentration except sometimes at high concentrations.

The methods of curve fitting and calculating the concentration are basically the same. If the solution obeys Beer's Law, is it better to use a calibration curve rather than a single standard? It might not make much difference either way. If the solution is known from previous measurements to obey Beer's Law exactly on the same spectrophotometer and under the conditions in use, then a single standard can be used although it's best if that standard gives a signal close to the maximum expected sample signal or to whatever signal gives the best signal-to-noise ratio - an absorbance near 1.

The only real advantage of multiple standards in this case is that the random errors in preparing and reading the standard solutions are averaged over several standards, but the same effect can be achieved more simply by making up multiple copies of the same single standard to average out the random volumetric errors and reading each separately to average out the random signal reading errors.

What is the effect on concentration measurement if the monochromator is not perfect? If the wavelength calibration if off a little bit, it will have no significant effect as long as the monochromator setting is left untouched between measurement of standards and unknown sample; the slope of the calibration curve will be different, but the calculated concentrations will be OK.

If the wavelength has a poor stray light rating or if the resolution is poor spectral bandpass is too bigthe calibration curve may be effected adversely. In absorption spectroscopy, stray light and poor resolution may result in non-linearity, which requires a non-linear curve fitting method.

In emission spectroscopy, stray light and poor resolution may result in a spectral interferences which can result in significant analytical errors.

What does it mean if the intercept of my calibration curve fit is not zero? Ideally the y-axis intercept of the calibration curve the signal at zero concentration should be zero, but there are several reasons why this might not be so. If you prepared another separate set of standards, that standard curve would have different intercept, either positive or negative. There is nothing that you can do about this, unless you can reduce the random error of the standards and samples.

This is an artifact of the poor curve fit selection; if you see that happen, try a different curve shape quadratic or cubic. In that case you have three choices: How can I reduce the random scatter of calibration points above and below the best-fit line? Random errors like this could be due either to random volumetric errors small errors in volumes used to prepare the standard solution by diluting from the stack solution or in adding reagents or they may be due to random signal reading errors of the instrument, or to both.

To reduce the volumetric error, use more precise volumetric equipment and practice your technique to perfect it for example, use your technique to deliver pure water and weigh it on a precise analytical balance. Nov 22, ; Admin; Movies.

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if we ever meet again download index

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