Math 1025 Wk 15: QUIZ for Ch x Math 1025 Wk 16: Prac HW C X > Course Search Results - Stud | + webassign.net/web/Student/Assignment-Responses/last? dep=33455659#Q17 Career School X 1 4 5 6 y 49 43 33 26 17. [-/2 Points] DETAILS MY NOTES BBUNDERSTAT13 9.2.016.S. ASK YOUR TEACHER PRACTICE ANOTHER It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls that were more than (i.e., over and above) the number of fouls made by the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. I USE SALT Complete parts (a) through (e) after verifying that x = 16, y = 151, Ex = 78, y = 6,015, xy = 542, and r = -0.9340. (a) Draw a scatter diagram displaying the data. y (percentage) 50r 45 2 3 5 6 y (percentage) 2 3 5 6 1 30 35 40 45 30 35 40 45 x (fouls) x (fouls) 50+ 45 DII == A F10 U Relaunch to update : SE F11 F12 C Career Math 1025 Wk 16: Prac HW CI X Course Search Results - Stud | + webassign.net/web/Student/Assignment-Responses/last?dep=33455659#Q17 School Complete parts (a) through (e) after verifying that x = 16, y = 151, Ex = 78, y = 6,015, Exy = 542, and r = -0.9340. (a) Draw a scatter diagram displaying the data. y (percentage) 2 3 5 y (percentage) 12 1 30 35 40 45 x (fouls) 50 45 y (percentage) 35 35 40 40 30 y (percentage) 2 50+ 45 40 35 30 3 5 6 30 30 35 25 25 1 2 3 4 5 6 1 2 3 x (fouls) x (fouls) 40 x (fouls) 45 5 6 G U Relaunch to up M Math 1025 Wk 15: QUIZ for Ch x Math 1025 Wk 16: Prac HW CI X Course Search Results - Stud + C webassign.net/web/Student/Assignment-Responses/last?dep=33455659#Q17 G Relaunch to update : Career School (b) Find x. X = Find y (in %). y = % Find the equation of the least-squares line = a + bx. (Round your numerical values to four decimal places.) = (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50+ percentage) 3 5 6 45 30 30 y (percentage) 35 40 40 25 25 1 y (percentage) 2 3 5 1 2 3 5 6 30 35 40 45 x (fouls) x (fouls) percentage) 40 40 45 < < 50 DII F9 3 F10 F11 F12 Career School y (percentage) 2 3 5 + Student/Assignment-Responses/last? dep=33455659#Q17 (c) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 50 6 45 30 30 y (percentage) 35 40 y (percentage) 2 3 4 5 25 1 1 2 3 4 5 6 30 35 x (fouls) y (percentage) 30 50 45 40 40 35 25 30 35 40 45 1 2 3 x (fouls) x (fouls) x (fouls) 40 45 4 5 6 U Relaunch to update Student/Assignment-Responses/last?dep=33455659#Q17 Career School 25 1 2 3 5 6 x (fouls) 2 r = 5 y (percentage) 3 4 2 6 50H 45 y (percentage) 35 35 40 30 K + 30 G U 35 40 45 45 x (fouls) 1 25 30 35 40 45 1 2 3 4 5 6 x (fouls) x (fouls) (d) Find the value of the coefficient of determination r. (Round your answer to four decimal places.) What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? (Round your answer to two decimal places.) % What percentage is unexplained? (Round your answer to two decimal places.) % (e) If a team had x = 3 fouls over and above the opposing team, what does the least-squares equation forecast for y (in %)? (Round your answer to two decimal places.) %% Need Help? Read It 000 80 000 F4 F5 F3 F2 F1 14 DII F6 F7 F8 F9 F10 F11 F12 * + Relaunch to update : dele Math 1025 Wk 15: QUIZ for C X Math 1025 Wk 16: Prac HW CI X Course Search Results - Stud | + C webassign.net/web/Student/Assignment-Responses/last?dep=33455659#Q19 Career School 1 k U Relaunch to update : 19. [1.34/1.5 Points] DETAILS MY NOTES BBUNDERSTAT13 9.2.024.S. PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. In the following data, x is a random variable representing chirps per second and y is a random variable representing temperature (F). X 20.3 16.4 20.3 18.2 16.2 15.5 14.7 17.1 y 88.2 70.8 91.9 84.7 79.6 75.2 69.7 82.0 X 15.4 16.2 15.0 17.2 16.0 17.0 14.4 y 69.4 83.3 79.6 82.6 80.6 83.5 76.3 USE SALT Complete parts (a) through (e) after verifying that x = 249.9, y = 1,197.4, x2 = 4,208.37, Ey = 96,189.34, Exy = 20,081.36, and r = 0.8038. (a) Draw a scatter diagram displaying the data. 90 06 55 85 y (temperature (in degrees Fahrenheit)) 80 75 70 70 15 16 17 18 19 20 x (chirps per second) 20 20 19 18 y (temperature (in degrees Fahrenheit)) 17 16 15 70 75 80 x (chirps per second) 85 90 000 44 DII no 80 000 F6 F7 F8 DD FO F10 FA F5 F3 F2 * GE F11 F72 + Molota Career School ast?dep=33455659#Q19 Complete parts (a) through (e) after verifying that x = 249.9, y = 1,197.4, Ex = 4,208.37, y = 96,189.34, 2xy = 20,081.36, and r = 0.8038. (a) Draw a scatter diagram displaying the data. y (temperature (in degrees Fahrenheit)) 90 00 y (temperature (in degrees Fahrenheit)) 85 80 75 70 20 20 19 18 17 16 15 15 16 17 18 19 x(chirps per second) 70 75 80 85 90 06 20 y (temperature (in degrees Fahrenheit)) y (temperature (in degrees Fahrenheit)) 20 19 18 17 16 15 90 90 85 80 68 15 75 70 70 75 80 x (chirps per second) 85 90 15 16 17 18 19 20 x (chirps per second) G U Relaunch Career School y (tempera 70 70 y (temperature (in degrees Fahrenheit)) 20 19 18 17 16 15 udent/Assignment-Responses/last?dep=33455659#Q19 15 16 70 75 17 18 19 20 x (chirps per second) 80 x(chirps per second) 85 90 y (tempera X 15 y (temperature (in degrees Fahrenheit)) 70 75 88 80 90 90 + 70 75 80 x (chirps per second) 85 U Relaunch to update : 90 90 70 15 16 17 18 19 20 x (chirps per second) (b) Find x (in chirps per second). (Round your answer to four decimal places.) x = 16.66 chirps per second Find y (in F). (Round your answer to four decimal places.) y = OF Find the equation of the least-squares line = a + bx. (Round your numerical values to four decimal places.) y=30.7463 + 2.9460x C7 DII F8 F9 J F10 F11 F12 Math 1025 Wk 15: QUIZ for Ch x Math 1025 Wk 16: Prac HW CI X Course Search Results - Stud | + webassign.net/web/Student/Assignment-Responses/last?dep=33455659#Q22 Career School U Relaunch to update : Serial correlation, also known as autocorrelation, describes the extent to which the result in one period of a time series is related to the result in the next period. A time series with high serial correlation is said to be very predictable from one period to the next. If the serial correlation is low (or near zero), the time series is considered to be much less predictable. For more information about serial correlation, see the book Ibbotson SBBI published by Morningstar. A research veterinarian at a major university has developed a new vaccine to protect horses from West Nile virus. An important question is: How predictable is the buildup of antibodies in the horse's blood after the vaccination is given? A large random sample of horses were given the vaccination. The average antibody buildup factor (as determined from blood samples) was measured each week after the vaccination for 8 weeks. Results are shown in the following time series. Original Time Series Week 1 2 3 4 5 6 7 8 Buildup Factor 2.3 4.6 6.2 7.5 8.0 9.4 10.6 12.1 To construct a serial correlation, we simply use data pairs (x, y) where x = original buildup factor data and y = original data shifted ahead by 1 week. This gives us the following data set. Since we are shifting 1 week ahead, we now have 7 data pairs (not 8). Data for Serial Correlation X 2.3 4.6 6.2 7.5 8.0 9.4 10.6 y 4.6 6.2 7.5 8.0 9.4 10.6 12.1 I USE SALT For convenience, we are given the following sums. x = 48.6, y = 58.4, x = 385.86, Zy2 = 526.98, Xxy = 448.7 (a) Use the sums provided (or a calculator with least-squares regression) to compute the equation of the sample least-squares line, = a + bx. (Round your answers to four decimal places.) a = 2.1454 b = 0.8926 If the buildup factor was x = 5.4 one week, what would you predict the buildup factor to be the next week? (Round your answer to two decimal places.) 6.97 (b) Compute the sample correlation coefficient r and the coefficient of determination 2. (Round your answers to four decimal places.) = 0.9853 2 = 0.9708 Math 1025 Wk 15: QUIZ for C X webassign.net/web/Student/Assignment-Responses/last?dep=33455659#Q22 Math 1025 Wk 16: Prac HW C X > Course Search Results - Stud | + C Career School Week 1 2 3 4 5 6 7 8 Buildup Factor 2.3 4.6 6.2 7.5 8.0 9.4 10.6 12.1 U Relaunch to update : To construct a serial correlation, we simply use data pairs (x, y) where x = original buildup factor data and y = original data shifted ahead by 1 week. This gives us the following data set. Since we are shifting 1 week ahead, we now have 7 data pairs (not 8). Data for Serial Correlation X 2.3 4.6 6.2 7.5 8.0 9.4 10.6 y 4.6 6.2 7.5 8.0 9.4 10.6 12.1 USE SALT For convenience, we are given the following sums. x = 48.6, y = 58.4, x = 385.86, Zy2 = 526.98, xy = 448.7 (a) Use the sums provided (or a calculator with least-squares regression) to compute the equation of the sample least-squares line, = a + bx. (Round your answers to four decimal places.) 2.1454 a = b = = 0.8926 If the buildup factor was x = 5.4 one week, what would you predict the buildup factor to be the next week? (Round your answer to two decimal places.) 6.97 (b) Compute the sample correlation coefficient r and the coefficient of determination 2. (Round your answers to four decimal places.) r = 0.9853 2 = 0.9708 Test p > 0 at the 1% level of significance. (Round your answers to three decimal places.) t Enter a number. critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. Book Al CKP