Question - Determining Line of Best Fit for Scatter Plot Data
Solution:
The question asks which equation could represent the line of best fit for the data in the scatter plot. Since I cannot see the exact distribution of points on the scatter plot, I can’t give you a precise answer.However, I can guide you on how to determine which equation could be the best fit. You would look for the trend that the data points seem to follow and then match that trend with one of the given options:- A linear line that has a positive slope would mean as the number of trips to the library increases, the trips to the bookstore also increase.- A linear line with a negative slope would imply that as the number of trips to the library increases, the trips to the bookstore decrease.- A steeper slope would indicate a stronger relationship between the two variables.- The y-intercept is where the line crosses the y-axis (when x=0).Looking at the options provided:A. y = 1/2x + 5.5 - This line has a positive slope and a y-intercept of 5.5.B. y = x + 8 - This line also has a positive slope, but with a steeper slope than option A and a higher y-intercept of 8.C. y = x + 5 - This also suggests a positive relationship with the same slope as option B but a lower y-intercept.D. y = -2/3x + 6 2/3 - This is the only option with a negative slope, suggesting an inverse relationship.You would pick the equation that best approximates the central tendency of your data points. If your scatter plot shows a positive trend, then you would pick between options A, B, or C, depending on the steepness of the slope and where the line would likely cross the y-axis. If the trend is negative, then option D would be the correct choice. Please check your scatter plot and compare the trend with the given options to make the appropriate selection.
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