The caloric contents and the sodium contents (in milligrams) of 12 brands of beef hot dogs.

(a) \(x=170\) calories

(b) \(x=100\) calories

(c) \(x=260\) calories

(d) \(x=210\) calories

Find the equation of the regression line for the data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of \(y\) for each of the \(x\)-values, if meaningful. If the \(x\)-value is not meaningful to predict the value of \(y\), explain why not. If convenient, use technology.

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Calories, x 180 180 220 230 90 90 160 190 Sodium, y 510 740 740 280 530 580 Calories, x 150 110 110 160 140 150 Sodium, y 490 480 330 640 480 460