Coca-Cola's revenue changes from year to year. Use the model to determine what percent of the variation is explained by Advertising? SUMMARY OUTPUT Regression Statistics Multiple R 0.5829 R Square 0.3398 Adjusted R Square 0.3058 Standard Error 4.514 Observations 14 Coefficients Standard Error Intercept 120.30 2.954 Items Ordered 2.10 0.411 52.63% 58.29% 66.02% 33.98% 41.71%
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- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300d) Prepare the scatter diagram and insert the trendline or line of best-fit. Use a scale of 2 cm to represent 1,000 units on the x-axis & 2 cm to represent $50,000 on the yaxis.e) Using the line of best-fit, determine the company’s fixed cost per month and the variable cost per unit. (Use 0 & 5,000 units.)f) Which of the two methods appear more appropriate? Explain your answerTimber yield is approximately equal to the volume of a tree, however, this value is difficult to measure without first cutting the tree down. Instead, other variables, such as height and diameter, may be used to predict a tree's volume and yield. Below is data on diameter (inches), height (feet), and volume (cubic feet) diameter height volume 18 80 51.5 8.3 70 10.3 11.2 75 19.9 13.3 86 27.4 12.9 85 33.8 11.7 69 21.3 20.6 87 77 11.4 76 21.4 17.9 80 58.3 13.7 71 25.7 16 72 38.3 10.7 81 18.8 10.8 83 19.7 16.3 77 42.6 12 75 19.1 13.8 64 24.9 10.5 72 16.4 17.3 81 55.4 11 75 18.2 11.4 76 21 8.8 63 10.2 14.2 80 31.7 Develop a regression model to use diameter and height to predict volume. Report the adjusted R-squared. Blank 1. Fill in the blank, read surrounding text.
- An investigator wants to test if there is a difference in endotoxin levels in children who are exposed to endotoxin as a function of their proximity to operating farms. The following are endotoxin levels in units per milligram of dust sampled from children’s mattresses, organized by children’s proximity to farms. Within 5 Miles 54 62 78 90 70 5-24.9 Miles 28 42 39 81 65 25-49.9 Miles 37 29 30 50 53 50 Miles or More 36 19 22 28 27 Total Sample (Ordered Smallest to Largest) < 5 Miles 5-24.9 Miles 25-49.9 Miles 50+ Miles < 5 Miles 5-24.9 Miles 25-49.9 Miles 50+ Miles…Use Microsoft Excel (or any other software package) to estimate the following model: y^=b0+b1x For the data provided below: Y X 50 36 49 28 34 38 32 33 50 14 30 38 41 17 42 36 42 14 43 17 What is the residual when x = 28. Please keep your answer to two decimal places.We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights, in pounds, and fuel efficiency, measured in miles per gallon, for a sample of 12 vehicles. Weight FuelEfficiency 2710 24 2560 28 2630 29 2740 38 3000 26 3410 25 3640 21 3700 27 3880 21 3900 20 4060 20 4710 17 Part 1) What percent of the variation in fuel efficiency is explained by the variation in the weight of the vehicles, using the regression line? (Round your answer to the nearest whole number.) _______________% Part 2) For the vehicle that weighs 3000 pounds, find the residual (y − ŷ).(Round your answer to two decimal places.) ______________ Part 3) Identify any outliers, using either the graphical or numerical procedure demonstrated in the textbook. (Select all that apply.) a) (4710, 17) b) (2740, 38) c) (2710, 24) d) (3700, 27) e) (4060, 20) f) no outliers
- At the 5% level of significance, which variables are statistically significant? If the price of cement per yard increases by 10, what will happen to the estimated quantity of cement demanded? What happens if it will increase by 20%?Socially conscious investors screen out stocks of alcohol and tobacco makers, firms with poorenvironmental records, and companies with poor labor practices. Some examples of “good,” sociallyconscious companies are Johnson and Johnson, Dell Computers, Bank of America, and Home Depot. Thequestion is, are such stocks overpriced? One measure of value is the P/E, or price-to-earnings, ratio. High P/Eratios may indicate a stock is overpriced. For the S&P stock index of all major stocks, the mean P/E ratio is? = 19.4 . A random sample of 36 “socially conscious” stocks gave a P/E ratio sample mean of ?̅= 17.9,with sample standard deviation ? = 5.2 (Reference: Morningstar, a financial analysis company in Chicago). 2.2.1. Does this indicate that the mean P/E ratio of all socially conscious stocks is different (either way) fromthe mean P/E ratio of the S&P stock index? Use ? = 0.05 [6 marks]2.2.2. What is the P-value?Cellulon, a manufacturer of home insulation, wants to develop guidelines for builders and consumers on how the thickness of the insulation in the attic of a home and the outdoor temperature affect natural gas consumption. In the laboratory, it varied the insulation thickness and temperature. A few of the findings are: Monthly Natural Gas Consumption (cubic feet), Y Thickness of Insulation (inches), X1 Outdoor Temperature (°F), X2 30.3 6 40 26.9 12 40 22.1 8 49 How much natural gas can homeowners expect to use per month if they install 6 inches of insulation and the outdoor temperature is 40 degrees F? Group of answer choices 36.69 cubic feet 30.30 cubic feet 30.89 cubic feet 33.69 cubic feet
- Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 Test the data using the Anderson darling test for normal distribution at 5% level. Discuss your findings.Answer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 If a linear trend is observed, perform a Chi-square square goodness-of-fit test for the normal distribution at the 5% level. Discuss your findings. Refer to this https://www.itl.nist.gov/div898/handbook/eda/section3/eda3674.htmAnswer and show complete solution. Pls don't rejectIn a study on the settlement of piles used in building foundations, data on the observed pile settlement were collected and compared with the calculated/estimated values. The ratio of the observed to the calculated settlements is a measure of the accuracy of the calculation method. The ratios are shown in the table below and as can be observed, it shows considerable variability: Ratios of Observed Settlement to Calculated Settlement of Piles 0.12 0.97 0.86 1.14 0.94 2.37 0.88 0.92 1.01 0.99 1.02 1.04 0.99 0.87 0.52 0.94 1.06 1.38 1.04 1.18 1 0.86 0.82 0.84 1.09 a. Assuming that the ratio is a normal random variable, construct a probability plot and observe if the data points follow a linear trend.
