The scatterplot represents data collected about how often students between the ages of 2 and 18 play with toys. Each point represents a piece of data collected from each student. For example, (8, 7) represents an 8-year-old who plays with toys for 7 hours a day. Which model is the best fit for this data?

Question

(1 point)
Responses

linear
linear

quadratic
quadratic

exponential
exponential
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Answer 1

To determine the best fit model for the data represented in the scatterplot, we would typically analyze the overall pattern of the data points.

• If the data points appear to form a straight line, then a linear model would be appropriate.
• If the data points appear to follow a curved path (like a parabola), then a quadratic model might be the best fit.
• If the data exhibits exponential growth or decay, then an exponential model would be the most suitable.

Without seeing the actual scatterplot, it's difficult to make a definitive choice. However, if you observe that most of the data points cluster around a straight trajectory, go with linear. If they curve upward or downward, consider quadratic. If the increase/decrease accelerates, then exponential might be the answer.

If you have insights about the distribution or pattern of the points, I can help you better identify the appropriate model!