Q #1

3. [-/1 Points] DETAILS BBUNDERSTAT12 9.2.006. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef Constant D. 8597 0. 4148 2.06 0.84 Weight D. 40403 0. 02978 13 .52 0.000 3 = 0.517508 R-8q = 97.49 (a) Write out the least-squares equation. V = b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.) (c) What is the value of the correlation coefficient r? (Use 3 decimal places.) Need Help? Read ItYou are the foreman of the Bar-5 cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 46 73 16 150 280 LA USE SALT Complete parts (a) through (e), given Ex = 89, Zy = 610, Ex? = 2297, Zy? = 81,626, Exy = 13,417, and r # 0.9982. (a) Draw a scatter diagram displaying the data. 35 200 150 y (calf weight (in kilograms)) y (calf weight (in kilograms)> 100 50 50 100 150 200 10 15 20 25 30 35 x (age of calf (in weeks)) x (age of calf (in weeks)) y (calf weight (in kilograms)) 100 150 200 x (age of calf (in weeks)) 200 150 y (calf weight (in kilograms)) 100 30 10 15 20 25 30 35 x (age of calf (in weeks))(b) Verify the given sums Ex, Ey, Ex", Ey?, Exy, and the value of the sample correlation efficient r. (Round your value for r to four decimal places.) Ex? EXY (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) * =[ y = 9 = (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 200 200 150 150 y (calf weight (in kilograms)) y (calf weight (in kilograms)) y (calf weight (in kilograms]) y (calf weight (in kilograms)) 100 100 50 10 15 20 25 30 35 50 100 150 200 10 15 20 25 30 35 50 100 150 x (age of calf (in weeks)) O x (age of calf (in weeks)) x (age of calf (in weeks)) O x (age of calf (in weeks)) (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for ' to four decimal places. Round your answers for the percentages to two decimal place.) explained unexplained (f) The calves you want to buy are 12 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kg Need Help? Read It5. [0.12/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.010.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER It is thought that basket all teams that make any fouls in a game tend to lose the game even if they otherwise play wel. Let x be the numb ber of fouls wins the game. LO USE SALT Complete parts (a) through (c). given Ex - 16, Ly - 150, Ex - 78, zy" - 5930, Exy - 538, and re -0.9488. (a) Draw a scatter diagram displaying the data. 45 y (percentage) y (percentage) y (percentage> y percentage 30 25 4 35 40 45 30 35 45 *(fouls) x (fouls) x (fouls) x (fouls) b) Verify the given sums Ex, Ty, Ex", Ty", Exy, and the value of the sample correlation coefficient . (Round your value for r to four decimal places.) EX - Ly - 242- Exy - Find x, and y. Then find the equation of the least-squares line $ - a + by. (Round your answers to four decimal places.) (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. y (percentage> y (percentage) y (percentage) y'(percentage) NN 35 "(fouls) x (fouls) O x (fouls) O x (fouls) (e) Find the value of the cooff mal place.) explained unexplained f) if a team had x - 3 fouls over Need Help? RansMY NOTES ASK YOUR TEACHER PRACTICE ANDTHE 6. [0.12/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.012.5. Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For e we to fallure to yield the right of way. LA USE SALT Complete parts (a) through (e), given Ex - 372, Ly - 112, Ex- - 24814, Ly - 3120, Exy - 8224, and / = 0.9537. (2) Draw a scatter diagram displaying the data. percentage of all fatal accidents percentage of all fatal accidents) ercentage of all fatal accidents yipercentage of all fatal accidents 10 15 20 25 30 35 40 10 15 20 30 35 50 60 80 50 70 x (age (in years)) x(age (in years)) x (age (in years)) x (age (in years)) O b) Verify the given sums Ex, Ty, Ex", Ty', Exy, and the value of the sa coefficient /. (Round your value for r to four decimal places.) Ex - Ly - [ EXY ) Find x, and y. Then find the equation of the least-squares line y - a + by. (Round your answer to four decimal places.) (d) Graph the least- cint (x, y) as a point on the line. 40 30 70 yipercentage of all fatal accidents 8 8 2 y (percentage of all fatal accidents) yipercentage of all fatal accidents y(percentage of all fatal accidents) 20 60 & 15 20 25 30 35 50 10 15 20 25 35 70 x (age (in years)) x (age (in years)) O (age (in years)) x (age (in years)) decimal place.) (e) Find the value of the coefficient of c explained unexplained if) Predict the percentage of all fatal a Need Help? Bans is Watts7. [0.12/1 Points] DETAILS MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER PREVIOUS ANSWERS BBUNDERSTAT12 9.2.018.5. nyane who has b outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use erature ("F). LA USE SALT Complete parts (a) through (e), given Ex - 249.2, zy = 1203.4, Ex - 4185, Ly- - 97,241.82, Exy - 20,138.19, and r . 0.8231. (a) Draw a scatter diagram displaying the data. 95 20 8 18 y (temperature (in degrees Fahrenheit) y ttemperature (in degrees Fahrenheit or. . . y (temperature (in degrees Fahrenheit) yitemperature in degrees Fahrenheit) 16 16 17 18 19 an 90 85 15 16 18 * (chirps per second) O x (chirps per second) a * {chirps per second O * (chirps per second) b) Verify the given sums Ex, Ly, Ex-, Ly, Exy, and bund your value for r to four decimal places.) Find x, and y. Then find or decimal places.) (c) Graph the least- point on the line. y (temperature (in degrees Fahrenheit) y (temperature (in degrees Fahrenheit y (temperature in degrees Fahrenheit y (temperature in degrees Fahrenheit) 16 17 18 19 20 73 90 95 75 85 15 x (chirps per second) O x (chirps per second) x (chirps per second * (chirps per second) (e) Find the value of the coefficient of c explained unexplained ") What is the predicted temper Need Help? Ram is10. [0.34/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.021.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) Suppose you are given the following (x, y) data pairs. LA USE SALT Find the least-squares equation for these data (rounded to four digits after the decimal). 7+0 (b) Now suppose you are given these (x, y) data pairs. 8 y 1 3 4 Find the least-squares equation for these data (rounded to four digits after the decimal). y = [ (c) In the data for parts (a) and (b), did we simply exchange the x and y values of each data pair? Yes ON (d) Solve your answer from part (a) for x (rounded to four digits after the decimal). x =11. [0.13/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 9.2.025.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Let x = boiler steam pressure in 100 lb/ in and let y = critical sheer strength of boiler plate steel joints in tons/ in". We have the following data for a series of factory boilers. V 3.4 4.2 6.3 10.9 13.3 LO USE SALT (@) Make the logarithmic transformations x' = log (x) and y' = log (y). Then make a scatter plot of the (x', y') values. Does a linear equation seem to be a good fit to this plot? O The transformed data does not fit a straight line well. The data seem to explode as x increases The transformed data fit a straight line well. O The transformed data does not fit a straight line well. The data seem to explode as x decreases. O The transformed data does not fit a straight line well. The data seem to have a parabolic shape. (b) Use the (x', y') data points and a calculator with regression keys to find the least-squares equation y' = a + bx'. What is the correlation coefficient? (Use 4 decimal places.) c) Use the results of part (b) to find estimates for a and & in the power law y = ax". Write the power equation for the relationship between steam pressure and sheer strength of boiler plate steel. (Use 4 decimal places.) a= B = Need Help? Read It