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Question
question 2
a scatterplot shows hours spent practicing and score on a video game. the line of best fit is y = 3x + 40. what does the 40 represent?
the rate of improvement
the total score possible
the score with zero practice
the average score of all players
question 3
which scenario would most likely produce a scatterplot with a negative correlation?
number of sick days vs. productivity
hours studying vs. test score
we saved your progress 35 minutes ago
Step1: Analyze the linear equation form
The equation of a line is \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the \(y\)-intercept. In the given line of best fit \(y = 3x+40\), when \(x = 0\) (zero practice hours), we substitute \(x = 0\) into the equation.
Step2: Calculate \(y\) - value for \(x = 0\)
Substitute \(x = 0\) into \(y=3x + 40\). Then \(y=3\times0 + 40=40\).
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The score with zero practice