Question

explore making predictions from a scatter plot
enter values for x and y in the table to plot points in the graph. the store clothes - 4 - you keeps data on their sales.
these data points represent their coat sales, where x is
the average outside temperature and y is the number of
coats sold.
(3,94),(12,91),(16,83),(21,93),(27,82),(29,69),
(40,71),(43,63),(60,38),(52,53)
what is the best estimate for the number of coats sold
when the outside temperature is 35°f?

Explanation:

Step1: Analyze the relationship between \(x\) (temperature) and \(y\) (coats sold)

As \(x\) (temperature) increases, \(y\) (number of coats sold) generally decreases.

Step2: Locate relevant data points

We have data points \((27,82)\), \((29,69)\), \((40,71)\), \((43,63)\). The value \(x = 35\) is between \(29\) and \(40\).

Step3: Estimate the value of \(y\) for \(x = 35\)

Looking at the trend:

• From \(x = 29\) (\(y=69\)) to \(x = 40\) (\(y = 71\)), as \(x\) increases from \(29\) to \(40\) (\(\Delta x=40 - 29=11\)), \(y\) changes from \(69\) to \(71\) (\(\Delta y=71 - 69 = 2\)).
• Another way, consider the overall trend. The data points show that when \(x = 27,y = 82\); \(x=29,y = 69\); \(x = 40,y=71\); \(x=43,y = 63\). A rough visual - based estimate (since it's a scatter - plot prediction). If we assume a somewhat linear - like trend (for estimation purposes in a scatter - plot context), a value of \(y\) around \(70\) is reasonable.

Answer:

70 coats