Fit a straight line trend by the method of least squares to the following data : Yea Production of TV sets Year Production of TV sets (in '000) (in '000) 2007 17 2013 35 2008 20 2014 55 2009 19 2015 50 2010 26 2016 74 2011 24 2017 69 2012 40 Estimate the production for 2022.
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Q: Estimate the production for 2022.
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- The Abendigo Division of Block C Enterprises has a product designed to operate for 1000 hours with a failure rate of 2.2%. Calculate the Mean Time to Failure.The amount (in millions of dollars) of used autos sold online in a certain country from 2011 to 2015 is given in the following table (x = 0 corresponds to 2011). Year, x 0 1 2 3 4 Sales, y 12.9 13.9 14.65 15.25 15.85 (a) Find an equation of the least-squares line for these data.y = (b) Use the result of part (a) to estimate the sales of used autos online in 2016, assuming that the predicted trend continued. (Round your answer to one decimal place.)$ millionThe following table is an abbreviated life expectancy table for males. current age, x 0 20 40 60 80 life expectancy, y 76.6 years 78.9 years 80.5 years 81.7 years 82.7 years a. Find the straight line that provides the best least-squares fit for these data.
- Suppose a special type of small data processing firm is so specialized that some have difficulty making a profit in their first year of operation. what is the value of k?A UPS efficiency expert is interested in finding out if the years of driving experience (EXP) can be used to predict the frequency of late deliveries (LATE). Here are the data (late deliveries are per 100 ): EXP ZEXP LATE ZLATE 16 0.49 8 0.43 19 1.34 10 1.45 15 0.21 7 -0.09 15 0.21 8 0.43 14 -0.07 6 -0.60 15 0.21 8 0.43 13 -0.35 5 -1.11 12 -0.64 5 -1.11 4 -2.90 3 -2.14 15 0.21 8 0.43 16 0.49 9 0.94 17 0.78 9 0.94 MEXP = 14.25 SDEXP = 3.54 MLATE= 7.17 SDLATE = 1.95 Use α = .05 for all decisions. Determine how many late deliveries (per 100) we would predict for a driver with 20 years of experience. No explanation is required – just report the predicted value as your final answer.Table 7 gives the number of visitors per year at YosemiteNational Park.(a) Find the least-squares line for these data.(b) Estimate the number of visitors in 2017.
- Find the curve of best-fit y = axb to the following data by using the method of least square.Customers arrive to a local bakery with an average time between arrivals of5 minutes. However, there is quite a lot of variability in the customers’ arrivals, asone would expect in an unscheduled system. The single bakery server requires anamount of time having the exponential distribution with mean 4.5 minutes to servecustomers (in the order in which they arrive). No customers leave without service.f. Why are the estimated waits in this system so long? Are the assumptions behindthem reasonable? Why or why not?The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 101 out of a random sample of 200 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's…
- The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 128 out of a random sample of 240 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.01 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the critical value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the…The proportion p of residents in a community who recycle has traditionally been 60% . A policy maker claims that the proportion is less than 60% now that one of the recycling centers has been relocated. If 126 out of a random sample of 215 residents in the community said they recycle, is there enough evidence to support the policy maker's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H0 and the alternative hypothesis H1 . H0: H1: (b) Determine the type of test statistic to use. ▼(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Is there enough evidence to support the policy maker's claim that the…Design a 3rd order Least-squares function approximation to interpolate between the mid between (2n and 3") for a dataset as chosen by you. Compute the LS model error.