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What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.

A. y = -0.885x + 1.164
B. y = 0.885x + 1.164
C. y = 1.164x + 0.885
D. y = -1.164x + 0.885

User Raphaela
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1 Answer

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Final answer:

The line of best fit is found through a least-squares regression analysis, resulting in an equation of the form y = mx + b. However, without the specific data set's slope and y-intercept, it's impossible to verify which of the provided options is correct.

Step-by-step explanation:

The question asks for the equation of the line of best fit for a given data set with the slope and y-intercept rounded to three decimal places. To find the line of best fit, a least-squares regression analysis is typically used. In this analysis, the slope and y-intercept are calculated based on minimizing the sum of the squared distances from the data points to the line. The form of the equation is y = mx + b, where m is the slope and b is the y-intercept.

Based on the reference information given, none of the provided options for the equation of the line matches the examples from the solutions. Therefore, we cannot be confident in selecting any of the given options (A, B, C, or D) as correct. The student would need to calculate or obtain the specific slope and y-intercept for their data set using a statistical calculator or software to determine the accurate equation for their line of best fit.

User CalvinR
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