Data was collected on the fat and protien content of burgers sold at a number of fast food restaurants and used to establish the following simple linear regression equation Fat = total fat in grams Protien = total protein in grams Fat = 6.8 + 0.97 (Protein) The correlation coefficient for this analysis is r = 0.69 Which statement best describes the relationship between the fat and protein content of burgers at fast food restaurants?
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69, which indicates a strong positive linear relationship between fat and protein content of burgers at fast food restaurants. Show more…
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"Is there a relationship between protein content (in grams) and fat content (in grams) in fast-food hamburgers?" To answer this question nutritionists selected 64 fast-food hamburgers and found the correlation coefficient between protein and fat contents to be r=0.87. Draw the conclusion about the relationship between protein and fat contents in these hamburgers based on provided value of the correlation coefficient. A No linear relationship between protein and fat contents B Strong, linear relationship, and as protein content decreases, fat content increases C Strong, linear relationship, and as protein content increases, fat content increases D None of the above
Hubert A.
In the last chapter, you examined the association between the amounts of Fat and Calories in fast-food hamburgers. Here are the data: $$ \begin{array}{|l|r|r|r|r|r|r|r|} \hline \text { Fat (g) } & 19 & 31 & 34 & 35 & 39 & 39 & 43 \\ \hline \text { Calories } & 410 & 580 & 590 & 570 & 640 & 680 & 660 \\ \hline \end{array}$$ a) Create a scatterplot of Calories vs. Fat. b) Interpret the value of $R^{2}$ in this context. c) Write the equation of the line of regression. d) Use the residuals plot to explain whether your linear model is appropriate. e) Explain the meaning of the $y$ -intercept of the line. f) Explain the meaning of the slope of the line. g) A new burger containing 28 grams of fat is introduced. According to this model, its residual for calories is +33 . How many calories does the burger have?
The author collected data from 16 cereals consisting of the sugar contents (in grams per gram of cereal) and the calories (per gram of cereal). STATDISK was used to find that the linear correlation coefficient is $r=0.765$ and the equation of the regression line is $\hat{y}=3.46+1.01 x,$ where $x$ represents the sugar content. Also, the mean calorie amount is 3.76 calories per gram of cereal. What is the best predicted calorie content for a cereal with 0.40 gram of sugar per gram of cereal?
Correlation and Regression
Regression
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