**Educational Context: Understanding Least-Squares Regression Lines**The following scatter plots are used to analyze which one corresponds to the given least-squares regression line:\[ \hat{y} = -2761 + 50.3x \]**Scatter Plots Analysis:**- **Plot A:** - **Axes:** - X-axis ranges from 60 to 140 - Y-axis ranges from 0 to 5000 - **Description:** - Shows a strong positive correlation. Data points are dispersed upward from left to right.- **Plot B:** - **Axes:** - X-axis ranges from -60 to 20 - Y-axis ranges from -3000 to 1000 - **Description:** - Displays a moderate positive correlation. The data points trend upwards but exhibit more spread compared to Plot A.- **Plot C:** - **Axes:** - X-axis ranges from 60 to 140 - Y-axis ranges from -1000 to 3000 - **Description:** - Shows a strong negative correlation. Points trend downward from left to right.- **Plot D:** - **Axes:** - X-axis ranges from -140 to -60 - Y-axis ranges from 4000 to 8000 - **Description:** - Exhibits a strong negative correlation. Data points slope downward with a consistent pattern.**Conclusion:**To determine which plot matches the regression line \(\hat{y} = -2761 + 50.3x\), consider the positive slope (50.3), indicating that as \(x\) increases, \(y\) should increase. Plot A or B would be logical choices due to the positive correlation observed.

Regression equation Y = -2761 + 50.3x For getting scatter plot, Put values of x in equation, and…

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MATLAB: An Introduction with Applications

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Which one of the scatter plots below corresponds to the least-squares regression line: y = -2761 +50.3x 4000 3000 A - 1000 3000 2000 0 1000 60 F8 80 80 100 X 100 X 120 120 140 140 B 1000 0 -1000 -2000 -3000 8000 7000 6000 5000 4000 -60 -140 -120 -100 X 0 -80 20 -60