QUESTION IMAGE
Question
determining the trend line of best fit
use the points to describe the data and determine the
line of best fit.
what type of correlation do the data points represent?
equation that best represents the data?
positive
negative
none
Step1: Analyze the scatter - plot
In a scatter - plot, if as the \(x\) - value (rainy days) increases, the \(y\) - value (ticket sales) decreases, it is a negative correlation.
Step2: Check the general trend
Looking at the points: when \(x = 1\), \(y\approx2700\); when \(x = 2\), \(y\approx3500\) (an exception, but overall trend); when \(x = 3\), \(y = 1300\); when \(x=4\), \(y = 2900\); when \(x = 5\), \(y = 2700\); when \(x=6\), \(y = 1400\); when \(x = 7\), \(y = 2400\); when \(x = 8\), \(y = 1100\). Ignoring minor fluctuations (which can be due to randomness or other un - accounted factors), as \(x\) (rainy days) increases, \(y\) (ticket sales) has a downward trend.
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negative