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Chapter 3: Q.1.4 (page 167)
Should you use this line to predict the rat’s weight at age years? Use the equation to make the prediction and think about the reasonableness of the result. (There aregrams in a pound.)
No, it cannot be used for predictions. Because the weight of a newborn is not possible for a rat.
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How does the fuel consumption of a car change as its speed increases? Here are data for a British Ford Escort. Speed is measured in kilometers per hour, and fuel consumption is measured in liters of gasoline used per kilometers
role="math" localid="1649315389612"
(a) Make a scatterplot on your calculator.
(b) Describe the form of the relationship. Why is it not linear? Explain why the form of the relationship makes sense.
(c) It does not make sense to describe the variables as either positively associated or negatively associated. Why?
(d) Is the relationship reasonably strong or quite weak? Explain your answer.
The slope of the line in the figure above is closest to
What affects correlation? Make a scatterplot of the following data:
The correlation for these data is . What is responsible for reducing the correlation to this value despite a strong straight-line relationship between and in most of the observations?
To determine the least-squares regression line:
Least-squares ideaTrace the graph from Exercise on your paper. Show why the line drawn on the plot is called the least-squares line.
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