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question 2 a scatterplot shows hours spent practicing and score on a vi…

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
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Explanation:

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 \(y=3\times0 + 40=40\).

Answer:

The score with zero practice