Suppose a researcher wants to examine the association between the amounts of Fat

Question

Suppose a researcher wants to examine the association between the amounts of Fat and Calories in fast-food hamburgers. The data are given below. Complete parts a through g Fat (g) Calories 42 42 36 390 560 590570 620 700 650 21 30 35 45 f) Explain the meaning of the slope of the line. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) 0 A. The slope indicates that every gram of fat subtracts calorie(s), on average B. The slope indicates that every gram of fat adds 10.97 calorie(s), on average C. The slope indicates that every calorie adds gram(s) of fat, on average The slope indicates that every calorie subtracts gram(s) of fat, on average g) A new burger containing 25 grams of fat is introduced. According to this model, its residual for calories is +36. How many calories does the burger have? calorie(s) (Round to two decimal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Simple linear regression results:
Dependent Variable: Calories
Independent Variable: Fat
Calories = 189.34229 + 10.974518 Fat
Sample size: 7
R (correlation coefficient) = 0.93183502
R-sq = 0.8683165
Estimate of error standard deviation: 38.929282

Parameter estimates:

Analysis of variance table for regression model:

Predicted values:

Hence,

Predicted calories for 25 grams of fat = 463.71

Therefore,

Number of calories burger have = 463.71 + 36 = 499.71

Parameter Estimate Std. Err. Alternative DF T-Stat P-value Intercept 189.34229 70.095195 0 5 2.7012163 0.0427 Slope 10.974518 1.9112923 0 5 5.741936 0.0022

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