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- For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether or not there is a linear relationship between household income and number of children. Part 1 (a) State the null and alternative hypotheses. Ho: II vs Ha: 44₁ :: p ₂ ^ P₁ p II :: P₁ A P₂ : 0 pSouth Dakota prices vary $350,000: $400,000:$400,000:$425,000:$429,000: $440,000: $560,000: $585,000,: $585,000: $785,000 : $1,300,000. We found the following Mean = 569000 SD = 272703.1353 T score = .7113 P Value = .4932 CI: 385795.5409,752204.4591 If you had a margin of error of $13,000 how large of sample would you need with a 90% confidence interval using the given tscore.Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
- 6. What is wrong with the following line graph? Frequency 30 25- 20 15- 10- 5- 0 5 10 20 25 27 30The data in the table to the right are based on the results of a survey comparing the commute time of adults to their score on a well-being test. Complete parts (a) through (d) below. Click the icon to view the critical values for the correlation coefficient. Score 70+ r= 60- (a) Which variable is likely the explanatory variable and which is the response variable? A. The explanatory variable is commute time and the response variable is the well-being score because commute time affects the well-being score. B. The explanatory variable is commute time and the response variable is the well-being score because well-being score affects the commute time score. C. The explanatory variable is the well-being score and the response variable is commute time because commute time affects the well-being score. D. The explanatory variable is the well-being score and the response variable is commute time because well-being score affects the commute time. (b) Draw a scatter diagram of the data. Which…A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects 8 children, measures their height and head circumference, and obtains the data shown in the table. The pediatrician wants to use height to predict head circumference. Compute the linear correlation coefficient between the height and head circumference of a child. Height Head Circumference (inches) (inches) 27.5 25 (Round to three decimal places as needed.) 17.3 17.1 26 25.25 27.25 26.75 25.75 27 25 17.2 17 17.6 17.4 17.2 17.3 Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer Type here to search TOUG Panasonic CF-54 CDSS-4852 TERMO TOGA O O O O D () Scre Loc PrtSc Num Lock F10 F11 F12 F7 F8 F9 SysRq F5 F6 F3 F4 A 8 F1 F2 Esc & 7 0 8 B 90 5 A2 24 近 %#3
- A university would like to describe the relationship between the GPA and the starting monthly salary of a graduate who earned a business degree from the university. The accompanying table shows the monthly starting salaries for eight graduates of the business school along with their corresponding GPAS. Determine the sample correlation coefficient between the starting salary and the GPA of a business graduate of the university. Click the icon to view the salary and GPA data. Starting salary and GPA data (Round to three decimal places as needed.) Starting Salary GPA Starting Salary GPA 2,500 3.1 3,100 3.7 2,800 3.4 2,900 3.9 2,300 2.6 2,000 2.5 2,600 3.5 2,400 3.2 4o5The chart below represents the number of inches of snow for a seven-day period. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 2 5 3 10 0 4 2 Find the mean, median, and mode. Which is the best measure of central tendency? Remove Wednesday from the calculations. How does that impact the three measures of central tendency? Describe the effect outliers have on the measures of central tendency.You wish to determine if there is a linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.05 and round all values to 4 decimal places. Driver Age Number of Driver Deaths per 100,000 65 26 33 25 38 34 42 30 17 34 80 20 30 35 71 29 65 28 50 30 Но: р %3D 0 На: р 2 0 Find the Linear Correlation Coefficient r = Find the p-value p-value The p-value is O Less than (or equal to) a O Greater than a The p-value leads to a decision to O Reject Ho О Аcсеpt Ho O Do Not Reject Ho The conclusion is There is a significant linear correlation between driver age and number of driver deaths. O There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. O There is a significant negative linear correlation between driver age and number of driver deaths. O There is a significant positive…
- The subject is Engineering Data AnalysisListed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…Which of the measures of central tendency do you think you would use the most? Provide one (1) example. Explain what is meant by positive bias and negative bias in relation to the mean, mode, and median. If you were given a choice between the mean, median, or mode to calculate measures to make a decision about a set of data, which of the three measures would you use, and why?
