Find the equation of the regression line for the given 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

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Find the equation of the regression line for the given 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 given​ x-values, if meaningful. The caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below.
 
Calories, x
160
170
130
130
90
180
 
​(a)
x=150
calories
​(b)
x=100
calories
​Sodium, y
410
460
350
370
270
510
 
​(c)
x=140
calories
​(d)
x=210
calories

Find the regression equation.

(a) Predict the value of y for x=150

(b) Predict the value of y for x=100.

(c) Predict the value of y for x=140.

(d) Predict the value of y for x=210.

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