Changes for page How to do with Linear Calibration?
Last modified by Mengting Qiu on 2024/09/02 17:23
From version 27.1
edited by Mengting Qiu
on 2024/09/02 17:19
on 2024/09/02 17:19
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To version 24.1
edited by Mengting Qiu
on 2024/09/02 17:14
on 2024/09/02 17:14
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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 ... ... @@ -109,20 +109,23 @@ 109 109 110 110 === Step 2: Calculate the line equation and R-squared statistic === 111 111 112 -* Write the (% style="color:#4f81bd" %)**Slope formula**(%%)in the formula bar according to the original x and y values statistics table.112 +* Write the 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. 117 117 117 +* Write Intercept formula in the formula bar according to the original x and y value statistics table. 118 + 118 118 [[image:image-20240902164156-9.png||height="525" width="488"]] 119 119 120 -* 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 + 122 122 The CORREL function returns "R", so we have to square it to compute "R squared". 123 123 124 124 [[image:image-20240902164503-11.png||height="523" width="743"]] 125 125 128 + 126 126 * These values match those shown in the chart. 127 127 128 128 [[image:image-20240902164910-12.png||height="420" width="897"]] ... ... @@ -131,20 +131,12 @@ 131 131 === Step 3: Set up formulas to quickly calculate X and Y values. === 132 132 133 133 134 -* 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. 135 135 136 -A simple formula table for calculating Y value automatically with input X value is obtained. 137 137 138 -[[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". 142 142 143 -A simple formula table for automatically calculating X value based on the input Y value is obtained. 144 144 145 -[[image:image-20240902171909-16.png||height="604" width="756"]] 146 - 147 - 148 148 = 3. Case examples = 149 149 150 150
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