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Nolan has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. What does the point ( 22 , 105 ) (22,105) represent?

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Final answer:

The point (22, 105) represents a day's high temperature of 22 degrees and the corresponding 105 hot cocoas sold by Nolan on that day, shown on a scatter plot. This point may coincide with the line of best fit or indicate a deviation from the expected number of sales as suggested by the trend line.

Step-by-step explanation:

The point (22, 105) on a scatter plot with a line of best fit represents specific data in relation to two variables: the day's high temperature and the number of hot cocos sold by Nolan. In this case, 22 is the high temperature (in degrees), which is plotted on the x-axis as the independent variable, and 105 is the number of hot cocoas sold, which is plotted on the y-axis as the dependent variable. If this point lies on the line of best fit, it suggests a typical or expected number of sales for that temperature based on Nolan's recorded data. However, if it does not lie on the line but rather above or below it, it indicates that on the day when the temperature was 22 degrees, Nolan sold more or fewer hot cocoas than what the trend line would predict, respectively.

To analyze this further, one could compare this point to other data points and the line of best fit to determine patterns or anomalies such as outliers. For instance, if this point is far from the best-fit line and does not follow the general trend of other data points, it may be considered an outlier.

To plot a scatter plot and determine a line of best fit, various methods exist including manual estimation and using statistical tools such as regression analysis on a calculator or software. The slope and y-intercept of the line of best fit provide insights into the relationship between temperature and hot cocoa sales, where the slope indicates the rate of change in sales given a change in temperature, and the y-intercept indicates expected sales at 0 degrees.

User Garson
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Answer:In this context, the point (22, 105) represents a data point on Nolan's scatter plot. The first coordinate, 22, represents the day's high temperature, and the second coordinate, 105, represents the number of hot cocoas Nolan sold on that day.

Nolan likely collected data over a period of time, recording the high temperature and the number of hot cocoas sold on each day. He then plotted the data points on a scatter plot, where the x-axis represents the high temperature and the y-axis represents the number of hot cocoas sold. The scatter plot helps Nolan visualize any relationship between the two variables.

By drawing a line of best fit through the scatter plot, Nolan can see the general trend in the data. The line of best fit is a straight line that best approximates the relationship between the two variables. It passes through the middle of the data points, and can help Nolan make predictions about how many hot cocoas he might sell on a day with a given high temperature.

So, in summary, the point (22, 105) represents a data point on Nolan's scatter plot, where the first coordinate represents the day's high temperature and the second coordinate represents the number of hot cocoas Nolan sold on that day.

Step-by-step explanation:

User Bitinn
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