The following table shows the number of salesmen working for a certain concern :19824619831984´YearNumber1980281981384056Use the method of least squares to fit a straight line and estimate the number of salesmen for 1985 and1986.

We have given that, X :- 1980, 1981, 1982, 1983, 1984 Y:- 28, 38, 46, 40, 56 Then, We will find…

Answered: The following table shows the number of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places I need help with 3, 4 and 5 plz.
Using only completed decades (1941 – 2000), calculate the least squares line for the number of major hurricanes expected based on the total number of hurricanes. (Round your answers to three decimal places.)
College Graduation Rates. Data from the College Results Online website compared the 2011 graduation rate and median SAT score for 92 similar-sized public universities and colleges in the United States. The scatterplot below shows the relationship between these two variables along with the least squares fit. Round all calculated results to 4 decimal places. I ONLY need help with question 6.
You have the following data on consumption and income (in $10,000s). Income 9 11 5 8 2 9 12 Consumption 7 7 2 7 2 8 9 Make a scatterplot and draw the line of best fit.
2. The Mach number of a moving object is the ratio of its speedto the speed of sound. The following table shows the speeds of a jet aircraft, in terms of Mach numbers, and the time tafter it starts to accelerate. Find the least- squares line of s as a function of t. t(min) 0.00 s(Mach Number) 0.88 0.60 0.97 1.20 1.03 1.80 1.11 2.40 1.19 3.00 1.25
The following table gives the gold medal times for every other Summer Olympics for the women's 100 meter freestyle (swimming). Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.) Find the correlation coefficient r. (Round your answer to four decimal places.)r = Find the estimated gold medal time for 1924. (Use your equation from part (d). Round your answer to two decimal places.) Find the estimated gold medal time for 1992. (Use your equation from part (d). Round your answer to two decimal places.) Use the least squares line to estimate the gold medal time for the 2012 Summer Olympics. (Use your equation from part (d). Round your answer to two decimal places.) ch12#1
Companies in the U.S. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. In 2011, Hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. Suppose the following data show the number of cars in service (1,000s) and the annual revenue ($ millions) for six smaller car rental companies. Cars Revenue Company (1,000s) ($ millions) Company A 11.5 120 Company B 10.0 133 Company C 9.0 102 Company D 5.5 37 Company E 4.2 42 Company F 3.3 34 (a) Develop a scatter diagram with the number of cars in service as the independent variable. 160T 160T 160 160- 140- 140 140 140 120 120 120 120- 100 100 100 100- 80 80 80 80 60 60 60 60 .. . 40 40 .. 40 40 20 20 20 20 4 6 8 10 12 14 2 4 8 10 12 14 2 4 6 8 10 12 14 2 4 6 8 10 12 14 Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) Cars in Service (1,000s) (b) What does the scatter diagram developed in part (a) indicate about the relationship between…
The following table gives estimates of the percent of a certain country's population below the poverty level for 1998–2008. Year Percent 1998 12.8 2000 11.2 2002 12.1 2004 12.7 2006 12.9 2008 13.2 Find the least squares line that relates years to percent below the poverty level. (Let x = 0 represent the year 1998. Enter a mathematical expression.
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The following data show the number of hurricanes to directly strike a certain country each decade. A major hurricane is one with a strength rating of 3, 4 or 5. Decade 1941 - 1950 1951 – 1960 1961 – 1970 1971 - 1980 1981 - 1990 1991 - 2000 2001 - 2004 Using only completed decades (1941 – 2000), calculate the least squares line for the number of major hurricanes expected based on the total number of hurricanes. (Round your answers to three decimal places.) ý = + X Total Number of Hurricanes Number of Major Hurr 21 11 18 8 13 12 4 15 14 9. 3 %3D
The graph to the right gives the percent of persons 25 years and over who have completed four or more years of college. Percentage of College Graduates 40- 35- a. Use the method of least squares to obtain the straight line that best fits these data. b. Estimate the percent for the year 2008. c. If the trend continues, when will the percent reach 32? 30- 27.9 29.6 ll 23- 20 19.3 21.1 233 25.6 15- 10- 5- 1985 1990 1995 2000 2005 2010 (a) Use the method of least squares to obtain the straight line that best fits this data. Make the numbers more manageable by counting years beginning with 1985. The least-squares line is y =x+ (Type an integer or decimal rounded to the nearest hundredth as needed.)
During oil drilling operations, components of the drilling assembly may suffer from sulfide stress cracking. An article reported on a study in which the composition of a standard grade of steel was analyzed. The following data on y = threshold stress (% SMYS) and x = yield strength (MPa) was read from a graph in the article (which also included the equation of the least squares line). X 634 643 712 709 y S = 100 92 87 83 835 78 (b) Compute the estimated standard deviation s 820 810 75 74 870 63 856 923 878 937 57 55 ΣΥ, = 10,575, ΣΥ, = 892, Σχιζ = 8,739,877, = 8,739,877, Σy? L x = 65,852, ExY, = 701,865 (a) What proportion of observed variation in stress can be attributed to the approximate linear relationship between the two variables? (Round your answer to four decimal places.) (Round your answer to four decimal places.) SB₁ 47 Does it appear that this true average change has been precisely estimated? O This is a fairly wide interval, so has been precisely estimated. 0 O This is a…

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The following table shows the number of salesmen working for a certain concern : ´Year Number 1980 28 1981 38 1982 46 1983 40 1984 56 Use the method of least squares to fit a straight line and estimate the number of salesmen for 1985 and 1986.