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how do i find the regression line formula and r ^2 labeled on the graph?

how do i find the regression line formula and r ^2 labeled on the graph?

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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how do i find the regression line formula and r ^2 labeled on the graph?

### Data Table: - **Column 1 (µg Protein):** Represents the amount of protein in micrograms. - **Column 2 (Abs):** Represents the absorbance values associated with each protein concentration. | µg Protein | Abs | |------------|------| | 0 | 0 | | 1 | 0.022| | 3 | 0.065| | 5 | 0.106| | 7 | 0.178| | 10 | 0.299| | 12 | 0.38 | ### Graph: - **Title:** Abs - **X-axis (µg Protein):** Ranges from 0 to 14, representing the protein concentration in micrograms. - **Y-axis (Abs):** Ranges from approximately -0.05 to 0.45, representing the absorbance values. - **Data Points:** Each point corresponds to the values from the table. - **Trend Line:** A dotted line that best fits the data points. - **Equation of Line:** \( y = 0.0316x - 0.0214 \) - **Slope (0.0316):** Indicates the change in absorbance per microgram of protein. - **Y-intercept (-0.0214):** The absorbance value when protein concentration is zero. - **R-squared (\(R^2\)):** 0.9791, indicating a strong linear correlation between protein concentration and absorbance.
Transcribed Image Text:### Data Table: - **Column 1 (µg Protein):** Represents the amount of protein in micrograms. - **Column 2 (Abs):** Represents the absorbance values associated with each protein concentration. | µg Protein | Abs | |------------|------| | 0 | 0 | | 1 | 0.022| | 3 | 0.065| | 5 | 0.106| | 7 | 0.178| | 10 | 0.299| | 12 | 0.38 | ### Graph: - **Title:** Abs - **X-axis (µg Protein):** Ranges from 0 to 14, representing the protein concentration in micrograms. - **Y-axis (Abs):** Ranges from approximately -0.05 to 0.45, representing the absorbance values. - **Data Points:** Each point corresponds to the values from the table. - **Trend Line:** A dotted line that best fits the data points. - **Equation of Line:** \( y = 0.0316x - 0.0214 \) - **Slope (0.0316):** Indicates the change in absorbance per microgram of protein. - **Y-intercept (-0.0214):** The absorbance value when protein concentration is zero. - **R-squared (\(R^2\)):** 0.9791, indicating a strong linear correlation between protein concentration and absorbance.
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