Data was gathered from a random sample of fast-food items. From each item, researchers obtained the amount of sodium(in milligrams, or mg) and the number of calories. The scatterplot below displays the relationship between sodium content and number of calories. The regression equation and the value of r2 are given below the scatterplot. Predicted number of calories = 188.6 + 0.35 (sodium content)r2 = 54.29%Based on the information given above, what is the value of the correlation, or r, between number of calories and sodium content?What would be the predicted number of calories for a fast-food item with 1000 mg of sodium?The 9-inch personal Meat Lovers PANormous Pizza from Pizza Hut has a sodium content of 3670 mg. Should we use the above regression equation to predict the number of calories of this fast-food item? Please explain why or why not. 1200-1000-800-600-400-200-0-5001000150020002500Sodium content (in mg)Number of calories

Answered: Data was gathered from a random sample…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 8E

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Data was gathered from a random sample of fast-food items. From each item, researchers obtained the amount of sodium(in milligrams, or mg) and the number of calories. The scatterplot below displays the relationship between sodium content and number of calories. The regression equation and the value of r² are given below the scatterplot.

Predicted number of calories = 188.6 + 0.35 (sodium content)

r² = 54.29%

Based on the information given above, what is the value of the correlation, or r, between number of calories and sodium content?
What would be the predicted number of calories for a fast-food item with 1000 mg of sodium?
The 9-inch personal Meat Lovers PANormous Pizza from Pizza Hut has a sodium content of 3670 mg. Should we use the above regression equation to predict the number of calories of this fast-food item? Please explain why or why not.