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The function value at a point can be interpolated using newton's backward difference interpolation formula. The formula is given as .
Here, p can be obtained using the formula . The variable h is the step size.
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- Economics 2. (35) Consider the quarterly sales data:datal = {10, 31, 43, 16, 11, 33, 45, 17, 14, 46, 50, 21, 19, 41, 55,25). a) Forecast demand for 6th month by using 2 month MA. b) Forecast demand for 6th month by using by employing EWMA with a= 0:9 .c) Which forecast result you would prefer? and why?Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 71 76 31 92 203 14.2 19.6 5.8 11.2 35.9 (a) Verify that Ex = 473, Ey = 86.7, Ex² = 61,451, Ey? 2033.69, Exy = 10995.7, and r 0.93868. %3D %3D %3D %3D %3D Σχ Ey Ex? Ey2 Σχy (b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence…The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). ..... (a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have? A. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed. B. The variable "weekly time spent watching television" is likely uniform, not normally distributed. C. The variable "weekly time spent watching television" is likely skewed right, not normally distributed. D. The variable "weekly time spent watching television" is likely normally distributed. E. The variable "weekly time spent watching television" is likely skewed left, not normally distributed. (b) According to a certain survey, adults spend 2.25 hours per day watching television on a weekday. Assume that the standard deviation for "time…
- Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink. Shelia's measured glucose level one hour after the sugary drink varies according to the Normal distribution with µ = 124 mg/dl and σ = 13 mg/dl. If a single glucose measurement is made, what is the probability that Shelia is diagnosed as having gestational diabetes?The materials handling manager of a manufacturing company is trying to forecast the cost of maintenance for the company's fleet of over-the-road tractors. The manager believes that the cost of maintaining the tractors increases with their age. The following data was collected: Age (years) 5.5 where Y = Yearly maintenance cost in dollars and X = Age in years. 5.5 5.5 5.0 5.0 5.0 6.0 6.0 6.5 Yearly Maintenance Cost (S) 1,319 1,749 1,733 1,195 1,423 1,381 1,590 2,222 1,687 Age (years) 5.0 1.5 1.5 Y = 7.0 7.0 2.0 2.0 2.0 Yearly Maintenance Cost ($) 1,894 863 882 a. Use POM for Windows' least squares-linear regression module to develop a relationship to forecast the yearly maintenance cost based on the age of a tractor. (Enter your responses rounded to three decimal places and include a minus sign if necessary.) 1,464 2,073 1,678 1,166 1,249The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). (a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have? A. The variable "weekly time spent watching television" is likely normally distributed. O B. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed. O C. The variable "weekly time spent watching television" is likely skewed left, not normally distributed. O D. The variable "weekly time spent watching television" is likely uniform, not normally distributed. E. The variable "weekly time spent watching television" is likely skewed right, not normally distributed. (b) According to a certain survey, adults spend 2.25 hours per day watching television on a weekday. Assume that the standard deviation for "time…
- 3. The police department is assessing its staffing requirements. The department expects that the number of serious crimes committed, C, on average each week is proportional to the number of officers, P, on special street patrol. Data for the past year has been collected and some of it is shown below: P 4 7 9 11 15 17 с 14 11 10 9 7 5 a) Neatly sketch a scatter plot of the data on graph provided below. Which variable is the independent variable that should be plotted on the horizontal axis? Notice that the data seem to fall in a linear pattern. Draw the best-fit line through the data. Label your axes, indicate the scale, and title your graph. Why has only the first quadrant been provided for the graph? b) Look at your best-fit line and identify two good coordinate points that sit right on this best-fit line:Risky Drivers The following table gives the policereported crashes per million miles traveled for differentage groups.a. Create a scatter plot of the data, with x equal tothe age of the drivers and y equal to the number ofcrashes per million miles travel.b. Find the quartic function that is the best fit for thedata, where x is the age of the drivers and y equalsthe number of crashes per million miles traveled.Report the model with four significant digits.c. Graph the function and the data on the same set ofaxes, for x = 15 to x = 85.d. At what ages is the number of crashes less than 3,according to the model?The amount of time adults spend watching television is closely monitored by firms because this helps to determine advertising pricing for commercials. Complete parts (a) through (d). (a) Do you think the variable "weekly time spent watching television" would be normally distributed? If not, what shape would you expect the variable to have? O A. The variable "weekly time spent watching television" is likely uniform, not normally distributed. O B. The variable "weekly time spent watching television" is likely skewed left, not normally distributed. O C. The variable "weekly time spent watching television" is likely normally distributed. O D. The variable "weekly time spent watching television" is likely skewed right, not normally distributed. O E. The variable "weekly time spent watching television" is likely symmetric, but not normally distributed. (b) According to a certain survey, adults spend 2.45 hours per day watching television on a weekday. Assume that the standard deviation for…
- Solve attached photo.Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with mean 128 mg/dl and standard deviation 9 mg/dl. Let ? denote a patient's glucose level. (a) If measurements are made on four different days, find the level ? such that there is probability only 0.01 that the mean glucose level of four test results falls above ? for Shelia's glucose level distribution. What is the value of ??ANSWER: (b) If the mean result from the four tests is compared to the criterion 140 mg/dl, what is the probability that Shelia is diagnosed as having gestational…2. Which model-linear, quadratic, or exponential-seems most appropriate for this scatter plot? X