QUESTION 1.

The life spans of a species of fruit y have a bellshaped distribution, with a mean of 35 days and a standard deviation of 5 days. (a) The life spans of three randomly selected fruit ies are 39 days, 30 days, and 49 days. Find the zscore that corresponds to each life span. Determine whether any of these life spans are unusual. (b) The life spans of three randomly selected fruit ies are 40 days, 45 days, and 50 days. Using the Empirical Rule, nd the percentile that corresponds to each life span. (a) The z-score corresponding a life span of 39 days is . (Type an integer or a decimal rounded to two decimal places as needed.) The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the zscores for the actors in the following situation. Best Actor Best Supporting Actor p=450 p=550 (r = 8.7 0' = 13 In a particular year, the Best Actor was 24 years old and the Best Supporting Actor was 59 years old. Determine the z-scores for each. Best Actor: 2 = Best Supporting Actor: 2 = (Round to two decimal places as needed.) 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 775 619 519 508 491 474 (a) x = 499 feet (b) x = 643 feet Stories, y 53 47 46 42 37 35 (c) x = 310 feet (d) x = 736 feet Find the regression equation. y = x +) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)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 signicant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 1 2 2 | 3 5 | 6 El (a) x = 2 hours (b) x = 2.5 hours Test score, y 39 45 52 | 48 63 | 72 (c) x = 12 hours (d) x = 4.5 hours Find the regression equation. ;= x + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) The accompanying data are the number of wins and the earned run averages (mean number of earned runs allowed per nine innings pitched) for eight baseball pitchers in a recent season. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the xvalue is not meaningful to predict the value of y, explain why not. (a)x=5wins (b) x= 10wins (c) x= 19 wins (d)x=15wins @ Click the icon to view the table of numbers of wins and earned run average. The equation of the regression line is = x+ (Round to two decimal places as needed.) The accompanying data are the length (in centimeters) and girths (in centimeters) of 12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value ofy for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a)x=140cm (b)x=172cm (c)x=164cm (d)x=1580m @ Click the icon to view the table of lengths and girths. The equation of the regression line is 3A1: x + (Round to two decimal places as needed.) Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a signicant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 160 180 130 120 90 190 D (a) X = 170 calories (b) x = 100 calories Sodium, y 415 465 350 380 250 540 (c) x = 150 calories (d) x = 200 calories Find the regression equation. y = X +( ) (Round to three decimal places as needed.) The accompanying data are the caloric contents and the sugar contents (in grams) of 11 high-ber breakfast cereals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a)x= 160 cal (b)x=90 cal (c)x= 175 cal (d)x= 198 cal @ Click the icon to view the table of caloric and sugar contents The equation of the regression line is )7: x + (Round to two decimal places as needed.) The accompanying data are the shoe sizes and heights (in inches) of 14 men. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a)x=11.5 (b)x=8.0 (c)x=15.5 (d)x=10.0 @ Click the icon to view the table of shoe sizes and heights. The equation of the regression line is = x+ (Round to two decimal places as needed.) Use the data shown in the table that shows the number of bacteria present after a certain number of hours. Replace each y-value in the table with its logarithm, log y. Find the equation of the regression line for the transformed data. Then construct a scatterplot of (x, log y) and sketch the regression line with it. What do you notice? Number of hours, x 1 2 3 | 4 5 6 7 I: Number of bacteria, y 141 230 398 | 670 1093 1825 3122 Find the equation of the regression line of the transformed data. log y = x + (Round to three decimal places as needed.)