Changes for page How to do with Linear Calibration?
Last modified by Mengting Qiu on 2024/09/02 17:23
From version 24.1
edited by Mengting Qiu
on 2024/09/02 17:14
on 2024/09/02 17:14
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To version 27.1
edited by Mengting Qiu
on 2024/09/02 17:19
on 2024/09/02 17:19
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... ... @@ -49,7 +49,7 @@ 49 49 When x=8 mA, y=2.5 meters 50 50 51 51 52 -A more general formular: 52 +**A more general formular:** 53 53 54 54 (% style="color:blue" %)**Y=(y2-y1)/(x2-x1)* (x-x1) + y1** 55 55 ... ... @@ -109,23 +109,20 @@ 109 109 110 110 === Step 2: Calculate the line equation and R-squared statistic === 111 111 112 -* Write the Slope formula 112 +* Write the (% style="color:#4f81bd" %)**Slope formula**(%%) in the formula bar according to the original x and y values statistics table. 113 113 114 114 [[image:image-20240902164104-8.png||height="503" width="492"]] 115 115 116 +* Write (% style="color:#4f81bd" %)**Intercept formula**(%%) in the formula bar according to the original x and y value statistics table. 116 116 117 -* Write Intercept formula in the formula bar according to the original x and y value statistics table. 118 - 119 119 [[image:image-20240902164156-9.png||height="525" width="488"]] 120 120 120 +* Write (% style="color:#4f81bd" %)**CORREL's squared formula**(%%) in the formula bar based on the original x and y statistics table. 121 121 122 -* Write Correl's squared formula in the formula bar based on the original x and y statistics table. 123 - 124 124 The CORREL function returns "R", so we have to square it to compute "R squared". 125 125 126 126 [[image:image-20240902164503-11.png||height="523" width="743"]] 127 127 128 - 129 129 * These values match those shown in the chart. 130 130 131 131 [[image:image-20240902164910-12.png||height="420" width="897"]] ... ... @@ -134,12 +134,20 @@ 134 134 === Step 3: Set up formulas to quickly calculate X and Y values. === 135 135 136 136 134 +* The equation of the best fitting line is "Y-value = SLOPE * x-value + INTERCEPT", so the solution of "y-value" is obtained by multiplying X value and SLOPE, and then INTERCEPT is added. 137 137 136 +A simple formula table for calculating Y value automatically with input X value is obtained. 138 138 138 +[[image:image-20240902171627-15.png||height="440" width="754"]] 139 139 140 140 141 +* The X value based on the Y value is solved by subtracting INTERCEPT from the Y value and dividing the result by SLOPE: "x-value = (y-value-intercept)/SLOPE". 141 141 143 +A simple formula table for automatically calculating X value based on the input Y value is obtained. 142 142 145 +[[image:image-20240902171909-16.png||height="604" width="756"]] 146 + 147 + 143 143 = 3. Case examples = 144 144 145 145
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