Changes for page How to do with Linear Calibration?
Last modified by Mengting Qiu on 2024/09/02 17:23
From version 21.1
edited by Mengting Qiu
on 2024/09/02 16:49
on 2024/09/02 16:49
Change comment:
Uploaded new attachment "image-20240902164910-12.png", version {1}
To version 23.1
edited by Mengting Qiu
on 2024/09/02 17:12
on 2024/09/02 17:12
Change comment:
Uploaded new attachment "image-20240902171200-13.png", version {1}
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... ... @@ -51,7 +51,7 @@ 51 51 52 52 A more general formular: 53 53 54 -(% style="color: #4f81bd" %)**Y=(y2-y1)/(x2-x1)* (x-x1) + y1**54 +(% style="color:blue" %)**Y=(y2-y1)/(x2-x1)* (x-x1) + y1** 55 55 56 56 57 57 Calibration Curve Schematic: ... ... @@ -79,26 +79,67 @@ 79 79 80 80 [[image:image-20240902160755-2.png||height="394" width="562"]] 81 81 82 -* Go to the "Insert" TAB, navigate to the "Chart" menu, and then select the first option in the "Scatter" drop-down list. 82 +* Go to the "(% style="color:#4f81bd" %)**Insert**(%%)" TAB, navigate to the "(% style="color:#4f81bd" %)**Chart**(%%)" menu, and then select the first option in the "(% style="color:#4f81bd" %)**Scatter**(%%)" drop-down list. 83 83 * A chart will appear with the data points in the two columns. 84 84 85 85 [[image:image-20240902161202-3.png||height="453" width="824"]] 86 86 87 -* Right-click on one of the blue dots and select the “Add Trendline”option.87 +* Right-click on one of the blue dots and select the (% style="color:#4f81bd" %)**"Add Trendline" **(%%)option. 88 88 89 89 [[image:image-20240902161711-4.png||height="490" width="681"]] 90 90 91 91 * A straight line will appear on the chart. 92 -On the right side of the screen, the Format Trendline menu will appear. Check the boxes next to “Show formulas on chart” and “Show R-squared values on chart”. 93 -The R-squared value is a statistic that tells you how well the line fits the data. The best R-squared value is 1.000, which means that every data point touches the line. 94 94 95 - Becausethe idealdataexampleisused, theR-squaredvalueinthiscaseis 1.Asthedifferencebetweenthetapointsandthelineincreases,theR-squared valuedecreases,with 0.000 beingthe lowest possible value.93 +On the right side of the screen, the Format Trendline menu will appear. Check the boxes next to (% style="color:#4f81bd" %)**"Show formulas on chart" **(%%)and (% style="color:#4f81bd" %)**"Show R-squared values on chart"**(%%). 96 96 97 - [[image:image-20240902161857-5.png]]95 +The R-squared value is a statistic that tells you how well the line fits the data. The best R-squared value is **1.000**, which means that every data point touches the line. 98 98 97 +Because the ideal data example is used, the R-squared value in this case is 1. 99 99 99 +As the difference between the data points and the line increases, the R-squared value decreases, with **0.000** being the lowest possible value. 100 100 101 +The equation is of the form (% style="color:blue" %)**"y = kx + b"**(%%),(% style="color:blue" %)** **(%%)where (% style="color:blue" %)**k**(%%) is the slope and (% style="color:blue" %)**b**(%%) is the y-intercept of the line. 101 101 103 +[[image:image-20240902161857-5.png||height="559" width="1103"]] 104 + 105 +* Calibration is complete. The user can customize the chart by editing the title and adding the axis title. 106 + 107 +[[image:image-20240902163527-7.png||height="349" width="656"]] 108 + 109 + 110 +=== Step 2: Calculate the line equation and R-squared statistic === 111 + 112 +* Write the Slope formula in the formula bar according to the original x and y values statistics table. 113 + 114 +[[image:image-20240902164104-8.png||height="503" width="492"]] 115 + 116 + 117 +* Write Intercept formula in the formula bar according to the original x and y value statistics table. 118 + 119 +[[image:image-20240902164156-9.png||height="525" width="488"]] 120 + 121 + 122 +* Write Correl's squared formula in the formula bar based on the original x and y statistics table. 123 + 124 +The CORREL function returns "R", so we have to square it to compute "R squared". 125 + 126 +[[image:image-20240902164503-11.png||height="523" width="743"]] 127 + 128 + 129 +* These values match those shown in the chart. 130 + 131 +[[image:image-20240902164910-12.png||height="420" width="897"]] 132 + 133 + 134 +=== Step 3: Set up formulas to quickly calculate X and Y values. === 135 + 136 + 137 + 138 + 139 + 140 + 141 + 142 + 102 102 = 3. Case examples = 103 103 104 104
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