Modern medical practice tells us not to encourage babies to become too fat. Is there a positive correlation between the weight x of a 1-year old baby and the weight y of the mature adult (30 years old)? A random sample of medical files produced the following information for 14 females. x (lb) 19 24 25 23 20 15 25 21 17 24 26 22 18 19 y (lb) 126 126 125 124 130 120 145 130 130 130 130 140 110 115 In this setting we have Σx = 298, Σy = 1781, Σx2 = 6492, Σy2 = 227,603, and Σxy = 38,105. f) Find Se. (Round your answer to two decimal places.) Se =  (g) Find a 95% confidence interval for weight at age 30 of a female who weighed 21 pounds at 1 year of age. (Round your answers to two decimal places.) lower limit      lb upper limit      lb (h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.) t =

There are many interesting relationships among the various nutrients found in fruits and vegetables. Listed below are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100g each). Water 84.96 86.1 85.23 80.56 86.02 87 79.71 Carbs 11.68 13.03 16.3 23.6 17.7 14.63 21.63     The correlation coefficient for the data is =r−0.823 and =α0.05. Should regression analysis be done?   Find the equation of the regression line. Round the coefficients to at least three decimal places.     =y′+abx     =a     =b           Now Find y′ when =x73. Round your answer to at least three decimal places.     =y′

In baseball, is there a linear correlation between batting average and home run percentage? Let x represent the batting average of a professional baseball player, and let y represent the player's home run percentage (number of home runs per 100 times at bat). A random sample of n = 7 professional baseball players gave the following information. 0.239 1.0 3.3 0.251 0.286 0.263 0.268 0.339 0.299 5.5 3.8 3.5 7.3 5.0 n USE SALT (a) Make a scatter diagram of the data. 0.34 0.34 0.32 0.32 0.30 0.30 0.28 0.28 0.26 0.26 > 0.24 > 0.24 1 2 3 4 5 6 7 1 2 4 5 6 7 x (batting average) x (batting average) 0.24 0.26 0.28 0.30 0.32 0.34 0.24 0.26 0.28 0.30 0.32 0.34 x (batting average) x (batting average) (b) Use a calculator to verify that Ex = 1.945, Ex² = 0.547, Ey = 29.4, Ey² = 147.12 and Exy = 8.547. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should tend to…

There are many interesting relationships among the various nutrients found in fruits and vegetables. Listed below are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100g each).   Water 78.58 75.02 75.98 85.17 80.95 86.22 85.07 Carbs 14.18 21.04 19.81 21.78 23.74 12.13 15.44     The correlation coefficient for the data is =r−0.360 and  =α0.05. Should regression analysis be done?         Find the equation of the regression line. Round the coefficients to at least three decimal places.     =y′+abx     =a     =b           Find y′ when =x79. Round your answer to at least three decimal places.     =y′