To determine which description best fits the line of best fit for Terrence's scatter plot, we need to consider the relationship between the total number of goals scored (dependent variable) and the number of hours spent at soccer practice (independent variable).
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A constant line going up: This suggests a positive correlation where as practice hours increase, goals also increase at a consistent rate. This could be a valid line of best fit if there is a positive trend in the data.
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A decreasing line going down: This suggests a negative correlation, indicating that as players spend more hours practicing, they score fewer goals, which would typically not be expected in a sports context unless there's an unusual situation.
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A completely straight line going horizontal: This would imply no correlation, meaning the number of goals scored does not depend on the hours spent practicing. This is also likely not the case for soccer practice and scoring goals.
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A line that starts at the y-intercept between 10 and 15 on the y-axis and goes up constantly: This suggests a positive correlation, starting at a specific value and increasing consistently with practice hours. This could represent a scenario where players who practice more tend to score more goals.
Given the context of soccer practice likely correlating positively with goals scored, the best option would be the fourth one: "A line that starts at the y-intercept between 10 and 15 on the y-axis and goes up constantly." This reflects a reasonable expectation that increased practice time correlates with more goals scored.