Q 1.

part j options: a) number of stories, height ; b) number of stories, height; c) stories, feet

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 (b) Does it appear from inspection that there is a relationship between the variables? Yes O 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 = x Part (d) Find the correlation coefficient r. (Round your answer to four decimal places.) Is it significant? Yes O No Part (e) Find the estimated height for 35 stories. (Use your equation from part (c). Round your answer to one decimal place.) ft Find the estimated height for 94 stories. (Use your equation from part (c). Round your answer to one decimal place.)El 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? 0 Yes ONo El Part (9) Are there any outliers in the above data? If so, which point(s)? 0 Yes, (57, 1050) is an outlier. 0 Yes, (57, 1050) and (22, 401) are outliers. 0 Yes, (22, 401) is an outlier. O No, there are no outliers. El Part (h) What is the estimated height of a building with nine stories? (Use your equation from part (0). Round your answer to one decimal place.) l:| Does the least squares line give an accurate estimate of height? Explain why or why not. 0 The estimate for the height of a nine-story building does not make sense in this situation. 0 The least squares regression line does not give an accurate estimate because a nine-story building is not within the range of x-values in the data. 0 The least squares regression line does not give an accurate estimate because the estimated height of a building with nine stories is not within the range of y-values in the data. 0 The least squares regression line does give an accurate estimate because none of the buildings surveyed had nine stories. 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.) ft What is the slope of the least squares (best-t) line? (Round your answer to three decimal places.) Interpret the slope. (Round your answer to three decimal places.) As the ---Select-- v of the building increases by one unit, the --Select--- v of the building increases by --Select--- v . eBook Viewing Saved Work Revert to Last Response \\a \\a The average number of people in a family that received welfare for various years is given below. Year Welfare family size 1969 4.0 1973 3.6 1975 3.2 1979 3.0 1983 3.0 1988 3.0 1991 2.9 - Part (b) Calculate the least squares line. Put the equation in the form of: y = a + bx. (Round your answers to three decimal places.) y = Part (c) Find the correlation coefficient r. (Round your answer to four decimal places.) r= Is it significant? O Yes O No Part (d) Find the estimated welfare family size in 1970. (Use your equation from part (b). Round your answer to one decimal place.) people Find the estimated welfare family size in 1989. (Use your equation from part (b). Round your answer to one decimal place.) people Part (e) Based on the above data, is there a linear relationship between the year and the average number of people in a welfare family? O Yes O NoEl Part (f) Using the rounded least squares line, estimate the welfare family sizes for 1960 and 1995. (Use your equation from part (b). Round your answer to one decimal place.) Does the least squares line give an accurate estimate for those years? Explain why or why not. Q Yes, we can estimate the welfare family size for any year using the least squares line. C No, the years are outside the domain of 1969 to 1991. El PM (9) Are there any outliers in the above data? 0 Yes, (1969, 4.0) is an outlier. 0 Yes, (1991, 2.9) is an outlier. 0 Yes, (1969, 4.0) and (1991, 2.9) are outliers. O No, there are no outliers. El Part (h) What is the estimated average welfare family size for 1986? (Use your equation from part (b). Round your answer to one decimal place.) Does the least squares line give an accurate estimate for that year? Explain why or why not. Q The estimate is not accurate because it does not follow the linear trend. 0 The estimate is accurate because it follows the linear trend of the data set and falls within the domain of the data. 0 The estimate is not accurate because it is much lower than the observed values in 1983 and 1988. O The estimate is not accurate because it falls outside the domain. Part (i) 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--- increases by one, the ---Select--- decreases by people. Additional Materials eBook