_23_24 Unit Activity 2 MMB - Carter Drevs

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Arizona State University *

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Mathematics

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Feb 20, 2024

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Name: Carter Drevs _________________________ Math Models B Unit 2 Activity Questions: Please use the following data set to answer the questions below: (Each question is worth 12.5 points) Data for Admission into the University GRE Score Chance of Admit 337 0.92 324 0.76 316 0.72 322 0.8 314 0.65 330 0.9 321 0.75 308 0.68 302 0.5 323 0.45 1. Using the data set above: Create a scatter plot of the data set in the coordinate plane provided below or create the scatter plot using the DESMOS Graphing Calculator and post a screenshot here. . 1
Name: Carter Drevs _________________________ Data for Admission into the University GRE Score Chance of Admit 337 0.92 324 0.76 316 0.72 322 0.8 314 0.65 330 0.9 321 0.75 308 0.68 302 0.5 323 0.45 2. Using the data set above: Create a Linear Model of the Line of best in the coordinate plane provided below or create the Linear Model using the DESMOS Graphing Calculator and post a screenshot here. 2
Name: Carter Drevs _________________________ 3. Using the linear model created above: Write a linear equation to match the model created of data set above. ( DESMOS Graphing Calculator ) 𝑓(𝑥) = 𝑚𝑥 + ? Y = 0.01021*X - 2.551 Data for Admission into the University GRE Score Chance of Admit 337 0.92 324 0.76 316 0.72 322 0.8 314 0.65 330 0.9 321 0.75 308 0.68 302 0.5 323 0.45 4. Using the data set above: Create a Quadratic Model of the Line of best in the coordinate plane provided below or create the histogram using the DESMOS Graphing Calculator and post a screenshot here. 3
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Name: Carter Drevs _________________________ 5. Using the Quadratic model created above: Write a Quadratic equation to match the model created or data set above. ( DESMOS Graphing Calculator ) 𝑓(𝑥) = ?𝑥 2 + ?𝑥 + ? y = (10.8339)x 2 + (-0.0737)x + (0.0001) Data for Admission into the University GRE Score Chance of Admit 337 0.92 324 0.76 316 0.72 322 0.8 314 0.65 330 0.9 321 0.75 4
Name: Carter Drevs _________________________ 308 0.68 302 0.5 323 0.45 6. Using the data set above: Create an Exponential Model of the Line of best in the coordinate plane provided below or create the histogram using the DESMOS Graphing Calculator and post a screenshot here. 7. Using the Exponential model created above: Write an exponential equation to match the model created or data set above. ( DESMOS Graphing Calculator ) 𝑓(𝑥) = ?? 𝑥 + 𝑘 Y=0.0077*1.0142 8. After creating the three models of best fit and examining their equations, which graph matches the data set the best? Which has the closest correlation? The linear model because the line of best fit accurately matches the scatter plot. 5
Name: Carter Drevs _________________________ 6
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