instructions: the following is the recorded earthquakes on south carolina from august, 2016 to february…

instructions: the following is the recorded earthquakes on south carolina from august, 2016 to february, 2017. use the data to find the residuals. then draw a residual plot by hand. use the residual plot to determine if the linear model is the best regression model for this data.\n| magnitude | depth (km) |\n| ---- | ---- |\n| 1.7 | 2.9 |\n| 1.1 | 0.8 |\n| 1.4 | 1.9 |\n| 0.7 | 3.2 |\n| 0.8 | 4.3 |\n| 1.9 | 4 |\n| 1.7 | 6.3 |\n| 1.9 | 6.9 |\n| 1.9 | 0.9 |\n| 1.1 | 2 |\n| x | residual (rounded to nearest tenth) |\n| 1.7 | 2.9 | x\n| 1.1 | 2.1 | √\n| 1.4 | 1.4 | √\n| 0.7 | 0.8 | √\n| 0.8 | 1.3 | √\n| 1.9 | 0.8 | √\n| 1.7 | 2.6 | √\n| 1.9 | 6.0 | x\n| 1.9 | 0.1 | x\n| 1.1 | 2.1 | √

instructions: the following is the recorded earthquakes on south carolina from august, 2016 to february, 2017. use the data to find the residuals. then draw a residual plot by hand. use the residual plot to determine if the linear model is the best regression model for this data.\n| magnitude | depth (km) |\n| ---- | ---- |\n| 1.7 | 2.9 |\n| 1.1 | 0.8 |\n| 1.4 | 1.9 |\n| 0.7 | 3.2 |\n| 0.8 | 4.3 |\n| 1.9 | 4 |\n| 1.7 | 6.3 |\n| 1.9 | 6.9 |\n| 1.9 | 0.9 |\n| 1.1 | 2 |\n| x | residual (rounded to nearest tenth) |\n| 1.7 | 2.9 | x\n| 1.1 | 2.1 | √\n| 1.4 | 1.4 | √\n| 0.7 | 0.8 | √\n| 0.8 | 1.3 | √\n| 1.9 | 0.8 | √\n| 1.7 | 2.6 | √\n| 1.9 | 6.0 | x\n| 1.9 | 0.1 | x\n| 1.1 | 2.1 | √

Answer

Explanation:

Step1: Fit linear regression

First, fit a linear regression model to the magnitude - depth data.

Step2: Calculate residuals

Residual = Observed depth - Predicted depth.

Step3: Analyze residual plot

Plot residuals against magnitude. Randomly - scattered residuals suggest good fit.

Answer:

To fully answer, need software or manual regression calculation to get predicted values for all data points to calculate correct residuals and draw the plot.