Linear Regression 2. The linear regression equation for sample data of the amoun

Question

Linear Regression 2. The linear regression equation for sample data of the amount of sodium in breakfast cereal (mg/serving) and calories per serving is represented by the following linear regression equation: Sodium = 50.0 + 0.60"(Calories). 6a. Based on the linear regression equation, the correlation, r, between the amount of sodium (mg/serving) and calories per serving is necessarily: (4 points) A. 0.60 B. Zero C. Negative D. Positive E. A Percent 6b. A hungry student consumes 300 calories of a popular breakfast cereal. Based on the linear regression model (above), what is the estimate for the amount of sodium (milligrams) the student consumed? (12 pts) Show all work for full or partial credit. 6c. Assume a connoisseur of breakfast cereal does not want to consumer more than 122 milligrams of sodium. Given the linear regression model (above), what is the maximum number of calories the connoisseur should consume to ensure she or he does not consume more than 122 milligrams of sodium? (25 points) Show all work for full or partial credit.

Explanation / Answer

The Regression Model is,

Sodium = 50.0 + 0.66 * ( Calories )

Sodium is dependent variable and Calories is independent variable in this model.

If Calories increases by one unit then amount Sodium is increased by 0.66 times.

a) Possitive

Because 0.66 is a correlation coefficient but not exact correlation but if correlation coeeficient is possitive then correlation is also possitive.

b) If student consumes 300 calories then amount of sodium is,

Sodium = 50 + 0.66 * 300

= 248 (mg / serving)

c) If connoisseur required the consume amount of Sodium is only up to 122 milligrams then required calories are,

Sodium = 50 + 0.66 * Calories

122 = 50 + 0.66 * Calories

Calories = (122 - 50 ) / 0.66

= 109.0909

Therfore he or she required take calories up to 109.0909 mg

>>>>>>>>>>>> Best Luck >>>>>>>>>>>>>>>

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