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QuestionStatistics
What is the estimated height of a building with six stories? Does the least squares line give an accurate estimate of height? Explain why or why not.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Gather the Given Data
Let's first look at the data for building heights and stories: - Number of stories: 6 - Least squares line analysis will help us estimate the height
Step 3:: Understand Building Height Estimation
- Commercial buildings: $$4.0 \text{ m to } 4.5 \text{ m}$$ per story
Typically, building height can be estimated using an average story height. Standard story heights vary:
Step 4:: Calculate Estimated Height
Using an average story height of $$3.5 \text{ m}$$:
\text{Estimated Height} = 6 \times 3.5 \text{ m} = 21 \text{ m}
Step 5:: Least Squares Line Accuracy Assessment
To determine accuracy, we would need: - Multiple data points - Variance in building heights - Correlation coefficient Without additional context about the specific data set, we cannot definitively state the least squares line's accuracy.
Final Answer
- Estimated building height: 21 \text{ m} - Least squares line accuracy cannot be conclusively determined without more data points and statistical analysis.
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