Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks. Sales (1,000s of gallons) Week 1 2 3 4 5 6 7 8 to ch 9 o Week 11 12 1 2 3 4 5 6 7 8 9 (a) Compute four-week and five-week moving averages for the time series. 5-Week 4-Week Moving Moving Average Forecast 10 12 17 21 19 24 18 16 21 18 23 21 17 15 21 Time Series Value 22 19 24 18 16 21 18 23 21 15 22 20.25 20.5 Average Forecast 19.25 19.75 18.25 19.5 20.75 19.25 ✓ ✓ 19.8 19.6 19.6 19.4 19.2 19.8 19.6 ✓ ✓ (b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.) 19.69 X Compute the MSF for the five-week moving average forecasts. (Round your answer to two decimal places)

The data in the following table provide the relationship between breast-cancer incidence rate and menopausal status by age, based on Nurses’ Health Study (NHS) data from 1976-1990. The incidence rate for each group is given in two ways - first as cases/person-years and then as (cases per 100,000 person-years). Age Premenopausal Postmenopausal 35-39 124/131,704 (94) 15/14,795 (101) 40-44 264/179,132 (147) 47/43,583 (108) 45-49 304/151,548 (201) 163/90,965 (179) 50-54 159/61,215 (260) 401/184,597 (217) 55-59 25/6133 (408) 490/180,458 (272) Problem 1 Assess whether there is a difference between the incidence rate of breast cancer for premenopausal vs. postmenopausal women, controlling for age. Write out all 4 steps of the hypothesis test including a two-tailed -value. Problem 2 Provide a point estimate of the incidence rate ratio for postmenopausal vs. premenopausal women after controlling for age. Support your estimate with a 95%…

The following table shows the average monthly distance traveled (in billion miles) by vehicles on urban highways for five different years. Urban Highways - Average Monthly Distance Traveled by Vehicles (Billion Miles) Years Jan Year 1 4.22 Year 2 4.31 Year 3 4.38 Year 4 4.45 Year 5 4.51 Feb Mar Apr May Jun July Aug Sep Oct Nov Dec 5.32 5.21 5.12 4.92 4.49 4.55 4.49 4.44| 4.39 4.37 4.35 4.68 | 4.74 | 4.79 4.88 4.92 5.44 5.34 5.24 4.98 4.59 4.68 4.65 4.61 5.51 5.36 4.63 4.85 4.89 4.98 5.01 5.41 4.71 4.78 4.82 5.59 5.5 5.41 4.72 4.78 4.79 4.82 5.06 5.11 5.65 5.62 5.49 5.12 4.8 4.88 4.82 4.95 5.12 5.22 5.44 a. Construct a time series plot. What type of pattern exists in the data? b. Use a multiple regression model to develop an equation to account for seasonal effects and any linear trend in the data. To capture seasonal effects, use the dummy variables Jan = 1 if month is January, 0 otherwise; Feb = 1 if month is February, 0 otherwise; ...; Nov = 1 if month is November, 0 otherwise; and…

The histogram displays the number of 2008 births among U.S. women ages 10 to 50 . Each bin represents an interval of two years, and the height of each bin represents the frequency with which the data fall within that interval. A histogram for the number of births by mother’s age for 2008. Height of 62 for ages 14 to 16, height of 202 for ages 16 to 18, height of 369 for ages 18 to 20, height of 415 for ages 20 to 22, height of 441 for ages 22 to 24, height of 470 for ages 24 to 26, height of 487 for ages 26 to 28, height of 460 for ages 28 to 30, height of 403 for ages 30 to 32, height of 326 for ages 32 to 34, height of 252 for ages 34 to 36, height of 177 for ages 36 to 38, height of 99 for ages 38 to 40, height of 46 for ages 40 to 42, height of 17 for ages 42 to 44, and height of 4 for ages 44 to 46. Use the provided histogram to answer questions about the number of births for each age group. How many births occurred among women over the age of 38 ? number of births:What percentage…

College GPA and Salary. Do students with higher college grade point averages (GPAs) earn more than those graduates with lower GPAs (CivicScience)? Consider the college GPA and salary data (10 years after graduation) provided in the file GPASalary. Develop a scatter diagram for these data with college GPA as the independent variable. PLEASE MAKE SIMPLE GRAPH. What does the scatter diagram indicate about the relationship between the two variables? Use these data to develop an estimated regression equation that can be used to predict annual salary 10 years after graduation given college GPA. At the .05 level of significance, does there appear to be a significant statistical relationship between the two variables? GPA Salary 2.21 71000 2.28 49000 2.56 71000 2.58 63000 2.76 87000 2.85 97000 3.11 134000 3.35 130000 3.67 156000 3.69 161000

The following table shows the average monthly distance traveled (in billion miles) by vehicles on urban highways for five different years. Urban Highways - Average Monthly Distance Traveled by Vehicles (Billion Miles) Years Jan Feb Mar Apr May Jun July Aug Sep Oct Nov Dec Year 1 4.22 5.32 5.21 5.12 4.92 4.49 4.55 4.49 4.44 4.39 4.37 4.35 Year 2 4.31 5.44 5.34 5.24 4.98 4.59 4.68 4.65 4.61 4.68 4.74 4.79 Year 3 4.38 5.51 5.41 5.36 4.98 4.63 4.71 4.78 4.82 4.88 4.85 4.89 Year 4 4.45 5.59 5.5 5.41 5.01 4.72 4.78 4.79 4.82 4.92 5.06 5.11 Year 5 4.51 5.65 5.62 5.49 5.12 4.8 4.88 4.82 4.95 5.12 5.22 5.44 ​ a. Construct a time series plot. What type of pattern exists in the data?

When the moving average method is used to estimate the seasonal factors with quarterly sales data, a ______ period moving average is used.

Please draw a time series graph for the information displayed,‘s thank you!!