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

150 430

180 480

130 330

120 370

90 290

190 540

(a) x=170 calories

(b)x=100calories

(c) x=140 calories

(d) x=200 calories

a. Find the regression equation.

y= ____ x+( ____ )

(Round to three decimal places as needed.)

(b) Now predict the value of y for x=170.Since x=170 is in the range of the original data it is meaningful to predict the value of y for x=170.

Now predict the value of y for x=140. Since x=140 is in the range of the original data it is meaningful to predict the value of y for x=140.

Now predict the value of y for x=100 Since x=100 is in the range of the original data it is meaningful to predict the value of y for x=100

Now predict the value of y for x=200. Since x=200 is in the range of the original data it is meaningful to predict the value of y for x=200.