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SCI1020 - Introduction to Statistical Reasoning - S1 2025
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Consider the following plot of residuals versus x for a regression analysis.
Which of the following statements IS TRUE about the regression model?
In a study, fast-food menu items were analysed for their fat content (measured in grams) and calorie content. The goal is to predict the number of calories in a menu item from knowing its fat content. The least-squares regression line was computed and added to a scatterplot of the data:
The equation of the least-squares regression line is:
Calories = 204 + 11.4 × (Fat)
The correlation between Calories and Fat is r = 0.979. Hence, r2 = 0.958.
The point indicated by * has
In a study, fast-food menu items were analysed for their fat content (measured in grams) and calorie content. The goal is to predict the number of calories in a menu item from knowing its fat content. The least-squares regression line was computed and added to a scatterplot of the data:
The equation of the least-squares regression line is:
Calories = 204 + 11.4 × (Fat)
The correlation between Calories and Fat is r = 0.979. Hence, r2 = 0.958.
We might feel comfortable using the least-squares regression equation to predict calories for a menu item having fat content
The linear least-squares regression line is
In a study, fast-food menu items were analysed for their fat content (measured in grams) and calorie content. The goal is to predict the number of calories in a menu item from knowing its fat content. The least-squares regression line was computed and added to a scatterplot of the data:
The equation of the least-squares regression line is: Calories = 204 + 11.4 × (Fat)The correlation between Calories and Fat is r = 0.979. Hence, r2 = 0.958.
The least-squares line would predict that a menu item with 40 grams of fat would have
The correlation between the age and height of children is found to be about r = 0.7. Suppose we use the age x of a child to predict the height y of the child with a least-squares regression line. We conclude
The correlation coefficient that best fits the following scatterplot is
Several factors determine the values and retail prices of retail diamonds. The following scatterplot describes the relationship between a diamond's retail price (in dollars) and its size (measured in carat weight) for 151 diamonds for sale at a sample of retail stores
If prices were reported in Bitcoin instead of dollars, the correlation r