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# Regression equation for predictions

Find the equation of the regression line for the given data. 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 below.

Calories, X 160 170 130 130 90 180
Sodium, Y 415 465 340 360 250 530

a) X=150 Calories
b) X=100 Calories
c) X=140 Calories
d) X=210 Calories

Find the regression equation
^y = ??? (simplify answer and round to 3 decimal places)

Predict the value of y for X = 150 (choose correct answer)
383.697 or 417.767 or 587.187 or not meaningful

Predict the value of y for X = 100 (choose correct answer)
587.187 or 267.417 or 383.697 or not meaningful

Predict the value of y for X = 140 (choose correct answer)
383.697 or 267.417 or 412.767 or not meaningful

Predict the value of y for X = 210 (choose correct answer)
587.187 or 267.417 or 412.767 or not meaningful

#### Solution Preview

Find the equation of the regression line for the given data. 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 below.

Calories, X 160 ...

#### Solution Summary

The solution examines the regression equations for predictions in the y line.

\$2.19