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An architect wants to determine the relationship between the heights (in feet) of buildings and the number of stories in the buildings. The data for
An architect wants to determine the relationship between the heights (in feet) of buildings and the number of stories in the buildings. The data for a sample of 10 buildings in Chicago are shown.
Number of stories | Height (ft) |
64 | 995 |
68 | 844 |
50 | 732 |
48 | 679 |
32 | 648 |
46 | 635 |
58 | 610 |
45 | 600 |
49 | 583 |
40 | 573 |
You should complete the first 4 steps of the correlation analysis yourself.
- Draw a scatter plot.
- Calculate the linear correlation coefficient (answer: r = 0.6962)
- Test for linearity at 0.05 level (answer: critical value at 0.05 significance is 0.632. Therefore, the two variables are significantly linearly related.)
- If linear, determine the equation for the regression line. (Answer from Desmos: y' = 8.659x + 256.93)
Use the regression line to estimate the number of stories a building of 800 ft. Round your final answer to the nearest WHOLE number.
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