Use the information to answer questions 13 and 14 To compare the amount of time spent on recent service calls with the total amount charged for labor and parts, a repairman uses a scatter plot. He draws a line with the equation \( y=47.5 x+250 \) to model the data, where xis the time in hours spent on a call, and \( y \) is the total amount charged in dollars.
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Did you know that scatter plots are not just useful for identifying trends but can also help predict future outcomes? In the case of this repairman, the line equation \( y = 47.5x + 250 \) allows him to estimate charges based on the hours spent on service calls. So, if he knows a service took 2 hours, he can easily calculate the expected charge by plugging in \( x = 2 \). When using scatter plots, a common mistake is misinterpreting the slope or y-intercept. The slope of 47.5 in this case indicates the cost per hour of service, while the y-intercept of 250 represents the fixed fee charged regardless of time spent. It's crucial to understand these components to accurately analyze and communicate the data!