20. Use scatter diagrams and linear correlation coefficients to determine if a relationship is linear. Make the best prediction relative to correlation. Understand that correlated data may not have a causal relationship. A. A random sample of multiple story buildings is measured (in ft). Is there a linear relationship between the number of stories and the height of the building? Year 1990 1980 1990 1989 1991 1982 1986 1988 1981 1983 1988 1987 1984 1989 1990 Height (ft) |770 677 428 410 695 551 550 560 448 538 777 496 530 802 650 Stories 54 47 28 38 52 45 40 50 31 40 57 31 39 72 56 a. We will predict the height of the buildings from the number of stories. Based on this, which variable is explanatory and which is response? b. Calculate the correlation coefficient. c. Is there a linear relationship between the number of stories and the height of the building? d. Find the linear regression equation. e. If possible, make the best prediction for the height of a 26 story building built in the late 20th century. f. If possible, make the best prediction for the height of a 0 story building built in the late 20th century