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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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- Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Full data set Car 1 216 243 205 242 239 297 295 172 270 251 165 310 265 316 278 Car 2 231 220 223 205 245 257 242 292 248 252 287 255 250 293 251 ..... Describe each data set, that is determine the shape, center, and spread. Sample mean for Car 1 x=__________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Sample mean for Car 2 x=___________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 1 M=____________mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Median for Car 2 M=___________mi / 10 gal (Type…Which model—the one for parliaments or the one for ministries (or cabinets)—presented in the article has the greater explanatory power? How can you tell?Table 2 Department Mean SD CoefVar Min Q1 Median Q3 Max IQR Skewness Finance 6.052 3.874 64.01 1.630 3.393 4.585 7.500 22.860 4.107 2.00 HR 5.441 3.235 59.45 2.000 3.200 4.100 6.430 21.860 3.230 1.24 IT 5.880 3.887 66.10 0.530 3.250 4.630 6.8 24.980 3.550 2.18 Marketing 6.010 3.737 62.18 1.670 3.475 5.000 6.645 22.200 3.170 2.14 Training 6.095 3.719 61.02 1.500 3.330 5.000 7.640 20.000 4.310 2.00 CoefVar stands for coefficient of variation graph (1) The company has hired you to answer the following questions: Do you think that the salaries in the departments are skewed, justify your answer with proper measure from table (2).
- Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computerized wheel alignment and balancing machine. Managers feel that maintenance expense is related to usage of the machine, and they have collected the following information on weekly usage of the machine (in hours) and annual maintenance expense (in hundreds of dollars) from 10 other companies that own the machine.Company Weekly Usage(hours) Annual maintenance Expense(hundreds of dollars)A 13 17.0B 10 22.0C 20 30.0D 28 37.0E 32 47.0F 17…The following observations are for two quantitative variables, x and y. Observation Observation 1 21 61 11 18 98 2 13 89 12 78 38 3 57 56 13 62 36 4 82 20 14 14 96 5 36 51 15 76 23 6 77 25 16 46 79 7 31 48 17 33 58 8 28 96 18 66 70 9 64 51 19 31 35 10 66 52 20 40 34 If your answer is "zero", enter "0". a. Develop a crosstabulation for the data, with x as the row variable and y as the column variable. For use classes of 10-29, 30-49, and so on; for y use classes of 20-39, 40-59, and so on. b. Compute the row percentages (to 1 decimal). c. Compute the column percentages (to 1 decimal).The following table presents the ages of 9 U.S. presidents and their wives on the first day of their presidencies. Name Her Age His Age George W. and Laura Bush 54 54 George and Barbara Bush 55 64 Jimmy and Rosalynn Carter 49 52 Gerald and Betty Ford 56 61 Richard and Pat Nixon 56 56 Lyndon and Lady Bird Johnson 50 55 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 56 62 Harry and Bess Truman 60 60 Construct a scatterplot of the presidents' age y versus the first ladies' ages x . Plot only the points that are not outliers. First Lady's Age (years) President's Age (years) y 5 10 15 20 25 30 35 40 45 50 55 60 65 70 x 5 10 15 20 25 30 35 40 45 50 55 60 65 70 0
- Date Day Time Region Card Type Gender Buy Category Items Ordered Total Cost High Item 6-Mar Sun Morning West AJ Female High 4 $136.97 $79.97 6-Mar Sun Morning West Other Female Medium 1 $25.55 $25.55 6-Mar Sun Afternoon West AJ Female Medium 5 $113.95 $90.47 6-Mar Sun Afternoon NorthEast Other Female Low 1 $6.82 $6.82 6-Mar Sun Afternoon West AJ Male Medium 4 $147.32 $83.21 6-Mar Sun Afternoon NorthEast Other Female Medium 5 $142.15 $50.90 7-Mar Mon Evening West Other Male Low 1 $18.65 $18.65 7-Mar Mon Evening South Other Male High 4 $178.34 $161.93 7-Mar Mon Evening West Other Male Low 2 $25.83 $15.91 8-Mar Tue Morning MidWest Other Female Low 1 $18.13 $18.13 8-Mar Tue Morning NorthEast AJ Female Medium 2 $54.52 $54.38 8-Mar Tue Afternoon South Other Male Medium 2 $61.93 $56.32 9-Mar Wed Morning NorthEast AJ Male High 3 $147.68 $96.64 9-Mar Wed Afternoon NorthEast Other Male Low 1 $27.24 $27.24 10-Mar Thu Morning West Other Female Low 3 $46.18 $44.27…1. A company needs to locate a distribution facility somewhere between the source of raw materials in Los Angeles, CA and the market for the product in Chicago, IL. Using Hoover's Transport Curves Theory and the information below, which city should the ditribution center be located in? Inbound costs Outbound costs Las Vegas, NV $ 3,000,000 $ 39,000,000 Denver, CO $ 15,000,000 $ 34,000,000 Des Moines, IA $ 22,000,000 $ 18,000,000 Rockford, IL $ 37,000,000 $ 6,000,000 A. Las Vegas, NV B. Des Moines, IA C. Rockford, IL D. Denver, CO(b) (i) Create boxplots for these two data sets (either drawn by hand or as a printout from Dataplotter or another suitable computer package). Include all the relevant information required for drawing boxplots The summary values can be displayed on the boxplots themselves or in a table to the side of the chart, as they appear in Dataplotter. (ii) Use the boxplot for radio station B to say whether the data are symmetric or skewed. If the data are skewed, then state whether they are skewed to the left or skewed to the right. What does this tell you about the spread of the data for radio station B? (iii) The advertising company tries to summarise what the boxplot for radio station A is saying. Are the following statements true or false? In each case justify your answer. (1) About one-quarter of the reporting periods for radio station A had less than 10 550 000 listeners. (2) About three-quarters of the reporting periods for radio station A had more than 10 900 000 listeners.
- In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 489 eggs in group I boxes, of which a field count showed about 272 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 821 eggs in group II boxes, of which a field count showed about 262 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to four decimal places.) p̂1 = Find a 95% confidence interval for p1. (Round your answers to three decimal places.) lower limitupper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to four decimal places.) p̂2 = Find a 95% confidence interval for p2. (Round your…In the Focus Problem at the beginning of this chapter, a study was described comparing the hatch ratios of wood duck nesting boxes. Group I nesting boxes were well separated from each other and well hidden by available brush. There were a total of 463 eggs in group I boxes, of which a field count showed about 280 hatched. Group II nesting boxes were placed in highly visible locations and grouped closely together. There were a total of 812 eggs in group II boxes, of which a field count showed about 274 hatched. (a) Find a point estimate p̂1 for p1, the proportion of eggs that hatch in group I nest box placements. (Round your answer to three decimal places.)p̂1 = Find a 99% confidence interval for p1. (Round your answers to three decimal places.) lower limit upper limit (b) Find a point estimate p̂2 for p2, the proportion of eggs that hatch in group II nest box placements. (Round your answer to three decimal places.)p̂2 = Find a 99% confidence interval for p2. (Round…A national truck rental services has a surplus of one truck in each of the cities, 1, 2, 3, 4, 5, and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12.The distance (in kilometers) between the cities with a surplus and cities with deficit are displayed below:a) How should the trucks be displayed so as to minimize the total distance travelled? 1 2 3 4 5 6 7 41 72 39 52 25 51 8 22 29 49 65 81 50 9 27 39 60 51 32 32 10 45 50 48 52 37 43 11 82 40 40 60 51 30