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 Sodium, y 160 420 170 470 120 350 130 360 90 260 190 550

a)x=180caloriesb)x=100calories c) x= 150 calories d) x=200calories 1)Find the regression equation. ??? y^= [ ?] x+ ( ? ) 2) Predict the value of y for x=180. Choose the correct answer below. a) 556.293b) 501.733 c)419.893 d) not meaningful 3)Predict the value of y for x=100. Choose the correct answer below. a) 556.293b)419.893 c) 283.493

d) not meaningful

3)Predict the value of y for x=150. Choose the correct answer below.

a)419.893

b) 501.733

c)283.493

d) not meaningful

4)Predict the value of y for xequals200. Choose the correct answer below.

a)283.493

b)501.733

c) 556.293

d) not meaningful