A researcher would like to know if the gestation period of an animal can be used to predict the life expectancy. She collects the following data. Animal Gestation (incubation) Period (days) Life Expectancy (years) Cat 63 11 Chicken 22 7.5 Dog 63 11 Duck 28 10 Goat 151 12 Lion 108 10 Parakeet 18 Pig 115 10 Rabbit 31 7 Squirrel 44 (a) Draw a scatter diagram.
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- An online clothing company is keeping track of their customers purchases. Company also offers a credit card where customers get additional offers if they use that card when they make purchases from their online store. For those customers who has their credit card, the company has additional information such as age, yearly income, etc. The company management is interested in looking at the relationship between the income (in 1000s of dollars) and the total yearly purchases from their store for these credit card holders . They have gathered this information from a random sample of 42 credit card holders. Below provided is a partial MINITAB output for predicting the yearly purchases from the income. Identify the response and the predictor variable in this study. Write the equation of the least squares regression line for predicting the total yearly purchase from the income of the customer. What percentage of variation in total yearly purchase is explained by income of the customer?…1 It has been observed that social media has been very attractive to millennials and has been used as a major platform where they can share their experiences, emotions, and others. A group of senior high school students is interested to know the length of time a senior high school student spends in a week browsing his or her social media account(s). The data gathered by the group is recorded in the table below. Attention Time (in hours) in a Week Given to Social Media Accounts for Random Sample of n = 50 20.7 14.0 16.7 20.7 22.5 48.2 12.1 7.7 2.9 22.2 23.5 20.3 6.4 34.0 1.3 44.5 39.6 23.8 35.6 20.0 10.9 43.1 7.1 14.3 46.0 21.9 23.4 17.5 29.4 9.6 44.1 36.4 13.8 0.8 24.3 1.1 9.3 19.3 3.4 14.6 15.7 32.5 46.6 19.1 10.6 36.9 6.7 27.9 5.4 14.0 Estimate u, the mean attention time given to social media accounts by senior high school average, how many hours a day do senior high students, using a 99% confidence interval. On theJohnson Filtration, Inc., provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Time bo + b₁ Months + b₂ Type + b3 Person Round your answers to three decimal places. bo b₁ b₂ b3 Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 0000 Months Since Last Service 2 6 8 3 a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service. Assume that ₂ = 1 if the type of repair is electrical and 3 = 1 if Dave Newton performed the service. Enter negative value as negative number. 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical…
- Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher's hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with meanu = 92.12 mph and a standard deviation of o = 2.43 mph. 85 90 100 speed (mph) Compute the z-score of pitch with speed 95.8 mph. (Round your answer to two decimal places.) 1.5 Approximately what fraction of these four-seam fastballs would you expect to have speeds between 90.2 mph and 90.8 mph? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of these four-seam…The following data contains days when road rage occurred according to a study. The goal of the study is to determine when road rage occurs most often. M, Sa, F, Tu, Su, F, Tu, W, F, F, F, M, F, Th, F, W, Th, Sa, F, W, Tu, Th, F, F, W, Th, M, Th, F, M, Sa, Tu, F, Tu, F, F, Su, W, Th, M, F, F, F, Su, F, M, Tu Find the mode of the above data. Mode =Do you find any association between the tempers of brothers and sisters from the toHaving data : Good-natured brothers and good-natured sisters 1230 Good-natured brothers and sulien sisters 850 Sullen brothers and good-natured sisters 530 Sullen brothers and sullen sisters 980
- A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 2121 students who have previously taken the course are given in the table. Test Scores Student First Test Grade Second Test Grade 1 8989 7777 2 6060 7373 3 5252 6767 4 4444 6262 5 7474 7373 6 6969 7171 7 4343 6363 8 8080 7878 9 4747 6161 10 7676 7878 11 6565 7575 12 8989 7878 13 7878 7777 14 9696 8181 15 5252 6161 16 9393 8585 17 9090 8080 18 6767 6969 19 4343 6060 20 4848 6161 21 4646 6161 Copy Data Step 1 of 2: Using statistical software, estimate the parameters of the model Second Test Grade=β0+β1(First Test Grade)+εiSecond Test Grade=β0+β1(First Test Grade)+εi. Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.Assume we have data on all of the the students in our class. There are 25 students in the class. There are 4 seniors in the class and there are 6 juniors. What is the cumulative relative frequency of juniors and seniors?Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a Normal model with mean μ = 92.12 mph and a standard deviation of σ = 2.43 mph. A baseball fan wishes to identify the four-seam fastballs among the fastest 21% of all such pitches. Above what speed must a four-seam fastball be in order to be included in the fastest 21%? (Round your answer to the nearest 0.1 mph.)
- Falls are one source of preventable hospital injury. The data in the table represent the number of patient falls per month over a 28-month period in a 19-bed AIDS unit at a major metropolitan hospital. Complete parts (a) and (b). Full data set O Month 3 4 5 6 7 8 9 10 11 12 13 14 Falls 3 4 3 4 3 4 4 10 6 6 Month 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Falls 6 8 5 11 4 7 6 6 7 7 10 a. Construct a c chart for the number of patient falls per month. Do you think that the process is in a state of statistical control? Choose the correct chart below. OA. OB. Oc. 16- 16- 167 14 14 14 Time Time Time Do you think that the process is in a state of statistical control? O A. Yes. There do not appear to be special causes of variation. O B. No. There is at least one point outside the control limits. O C. No. There is a discernable pattern. O D. No. There are eight consecutive points all above or below the center line. b. What effect would it have on your conclusions if you knew that the AIDS unit…The table lists the average gestation period (in days) and longevity (in years) for the following mammals, as reported in The World Almanac and Book of Facts 2006. Mammal Gestation, y(days) Longevity, x(years) Mammal Gestation, y(days) Longevity, x(years) Baboon 187 20 Camel 406 12 Bear, black 219 18 Cat 63 12 Bear, grizzly 225 25 Chimpanzee 230 20 Bear, polar 240 20 Chipmunk 31 6 Beaver 105 5 Cow 284 15 Buffalo 285 15 Deer 201 8 Dog 61 12 Monkey 164 15 Donkey 365 12 Moose 240 12 Elephant 645 40 Mouse 21 3 Elk 250 15 Opossum 13 1 Fox 52 7 Pig 112 10 Giraffe 457 10 Puma 90 12 Goat 151 8 Rabbit 31 5 Gorilla 258 20 Rhinoceros 450 15 Guinea pig 48 4 Sea lion 350 12 Hippopotamus 238 41 Sheep 154 12 Horse 330 20 Squirrel 44 10 Kangaroo…Major League Baseball now records information about every pitch thrown in every game of every season. Statistician Jim Albert compiled data about every pitch thrown by 20 starting pitchers during the 2009 MLB season. The data set included the type of pitch thrown (curveball, changeup, slider, etc.) as well as the speed of the ball as it left the pitcher’s hand. A histogram of speeds for all 30,740 four-seam fastballs thrown by these pitchers during the 2009 season is shown below, from which we can see that the speeds of these fastballs follow a normal model with μ = 91.75 mph and σ = 2.64 mph. Approximately what proportion of these four-seam fastballs would you expect to have speeds between 88 mph and 92.2 mph? (Express your answer as a decimal and round to 4 decimal places.) Approximately what proportion of these four-seam fastballs would you expect to have speeds above 92.2 mph? (Express your answer as a decimal and round to 4 decimal places.) A baseball fan wishes to identify…