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SCI1020 - Introduction to Statistical Reasoning - S1 2025

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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

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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

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The linear least-squares regression line is

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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

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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

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The correlation coefficient that best fits the following scatterplot is

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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

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The volume of oxygen consumed (in liters per minute) while a person is at rest and while he or she is exercising (running on a treadmill) was measured for each of 50 subjects. The goal is to determine if the volume of oxygen consumed during aerobic exercise can be estimated from the amount consumed at rest. The results are plotted below. 

The scatterplot suggests 

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The Melbourne Zoo conducts a study of its donors to determine whether a household's income can be used to predict the amount of money the household will give to the zoo's annual fund drive. The response variable in this study is

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From the options below, select ALL statements that are true about the following diagram:

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