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The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).
The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Height (in feet) Stories 1,050 57 428 28 362 26 529 40 790 60 401 22 380 38 1,454 110 1,127 100 700 46 Part (a) Using "stories" as the independent variable and "height" as the dependent variable, make a scatter plot of the data. Graph Layers 1400 After you add an object to the graph you -1300 can use Graph Layers to view and edit its 1200 properties Fill 1100 1000 Solution 600 500 Help Lanzo 100 WebAssign. Graphing Tool Part (b) Does it appear from inspection that there is a relationship between the variables? O Yes No Part (c) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) Is it significant? O Yes ON Part (e) Find the estimated height for 32 stories. (Use your equation from part (c). Round your answer to one decimal place.) Find the estimated height for 94 stories. (Use your equation from part (c). Round your answer to one decimal place.) Part (f) Based on the above data, is there a linear relationship between the number of stories in tall buildings and the height of the buildings? Yes O NO Part (9) Are there any outliers in the above data? If so, which point(s)? O Yes, (57, 1050) and (22, 401) are outliers. Yes, (22, 401) is an outlier. O Yes, (57, 1050) is an outlier. O No, there are no outliers. Part (h) What is the estimated height of a building with seven stories? (Use your equation from part (c). Round your answer to one decimal place.) Does the least squares line give an accurate estimate of height? Explain why or why not. The estimate for the height of a seven-story building does not make sense in this situation. The least squares regression line does give an accurate estimate because none of the buildings surveyed had seven stories. The least squares regression line does not give an accurate estimate because a seven-story building is not within the range of x-values in the data. The least squares regression line does not give an accurate estimate because the estimated height of a building with seven stories is not within the range of y-values in the data. Part (i) Based on the least squares line, adding an extra story is predicted to add about how many feet to a building? (Round your answer to three decimal places.) Part () What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the [---Select--. of the building increases by one unit, the ---Select--- v of the building increases by ---Select
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