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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