Final answer:
This question covers various mathematical concepts including the characteristics of linear equations and the process of calculating a regression line for a scatter plot. The practice question incorrectly categorizes all options as linear equations, illustrating the concept of standard form linear equations.
Step-by-step explanation:
The student's question relates to the standard form of a parabola as well as various methods related to analyzing and interpreting data, particularly in a linear context. To answer Practice Test 4, Question 1 on Linear Equations:
- All the given equations, A. y = -3x, B. y = 0.2 + 0.74x, and C. y = -9.4 - 2x, are linear because they are all in the form of y = mx + b, where m is the slope and b is the y-intercept.
In addition, the process of finding a line of best fit or least-squares regression line through a scatter plot is discussed. This regression line is used in statistics to make predictions about data. When working with a set of data that has a linear pattern, we can use linear regression to calculate this line. The r² value mentioned in the question is a measure of how well the regression line represents the data, with an r² of .72 indicating that approximately 72% of the variability in the dependent variable can be explained by the independent variable.
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