Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, X 766 620 520 508 494 484 (a) x = 502 feet Stories, y 51 46 45 42 38 37 (b) x =642 feet (C) x = 318 feet (d) x = 727 feet y = [ * +D (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. OB. O C. D. 60- 60- 60- 60 Stories Stories Q Stories 800 800 800 Height ( feet ) 800 Height ( feet) Height (feet) Height (feet) (a) Predict the value of y for x = 502. Choose the correct answer below. O A. 47 O B. 50 O C. 41 O D. not meaningful (b) Predict the value of y for x = 642. Choose the correct answer below. O A. 33 O B. 47 O C. 41 O D. not meaningful (c) Predict the value of y for x = 318. Choose the correct answer below. O A. 33 O B. 50 O C. 47 O D. not meaningful (d) Predict the value of y for x = 727. Choose the correct answer below. O A. 41 O B. 50 O C. 33 O D. not meaningfulSusan has just completed her second semester in college. She earned a grade of B in her 5-hour linear algebra course, a grade of B in her 5-hour economics course, a grade of C in her 2-hour biology course, and a grade of A in her 5-hour philosophy course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Susan's grade-point average for the semester. Susan's grade point average is. (Round to two decimal places as needed.) Time RemainingThe following data for a random sample of banks in two cities represent the ATM fees for using another bank's ATM. Compute the range and sample standard deviation for ATM fees for each city. Which city has the most dispersion based on range? Which city has more dispersion based on the standard deviation? City A 2.25 1.25 1.75 0.00 2.00 City B 1.25 1.00 1.50 1.50 1.50 The range for city A is $ The range for city B is $]. The standard deviation for city A is $]. (Round to the nearest cent as needed.) The standard deviation for city B is $. (Round to the nearest cent as needed.) Which city has the most dispersion based on range? O A. City B, because it has a lower range. O B. City B, because it has a higher range. O C. City A, because it has a lower range. O D. City A, because it has a higher range. Which city has the most dispersion based on standard deviation? O A. City B, because it has a higher standard deviation. O B. City A, because it has a lower standard deviation. O C. City A, because it has a higher standard deviation. O D. City B, because it has a lower standard deviation.In the following probability distribution, the random variable X represents the number of activities at least one parent of a K-5h grade student is involved in. X 0 1 2 3 4 P(x) 0.068 0.213 0.325 0.071 0.323 (a) Draw a probability histogram. Choose the correct histogram below. OA OB. O C. OD. 0.5- 0.5- 0.5- 0.5 0.4- 0.4- 0.4- 0.3- 0.3- 0.3- 0.3- 0.2- Q 0.4- 0.2- 0.1- 0 123 4 0 1 2 3 4 o 0 12 3 4 0123 4 (b) Compute and interpret the mean of the random variable X. Hx = activities (Round to one decimal place as needed.) Which of the following interpretation of the mean is correct? A. As the number of experiments increases, the mean of the observations will approach the mean of the random variable. O B. The observed value of an experiment will be less than the mean of the random variable in most experiments. O C. The observed value of an experiment will be equal to the mean of the random variable in most experiments. D. As the number of experiments decreases, the mean of the observations will approach the mean of the random variable. (c) Compute the variance of the random variable X. of =activities2 (Round to one decimal place as needed.) (d) Compute the standard deviation of the random variable X. 5x =activities (Round to one decimal place as needed.) Time Remain