burger have! icken Chicken sandwiches are often advertised a healthier alternati

Question

burger have! icken Chicken sandwiches are often advertised a healthier alternative to beef because many are as wer in fat. Data from tests on 15 different sand- wiches randomly selected from the website http:// food-nutrition.findthebest.com/d/a/Chicken- fast- ndwich produced the Calories vs. Fat scatterplot and the regression analysis below. Dependent variable is Calories R-squared = 93.2% s = 63.73 ariable Coefficient SE Intercept 12.7234 43.910 Fat 21.2171 1.5944 1200 1000f 800 … 600 400 200T 50 30 Fat 10 20 a) Do you think a linear model is appropriate in this situation b) Describe the strength of this association. c) Write the equation of the regression line to estimate calories from the fat content. Explain the meaning of the slope. Explain the meaning of the y-intercept. tive residual? d) D What does it mean if a certain sandwich has a nega- ise 57 vou cre-

Explanation / Answer

a) Yes, the linear model is appropriate in this situation
since the points are going to straight line from lower to upper in scatter diagram

b) R-Squared = 0.932 = 93.2%, the assocation between two variable is 93.2%

c) The regression equation is Calories is = 12.7234 + 21.2171Fat

d) If one unit of fat increases then calories will be increase 21.2171

e) If Fat = 0 in the content, the calories will be 12.7234 which is meaning less inerpretation

f) if sandwich has a negative residual, there is lower calories in sandwich

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