Calculate the Karl Pearson 's coefficient of correction between expenditure and sales.
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- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?Calculate the (Pearson) correlation coefficient between production volume and total costs in this problem. * a.) 0.8391 b.) 0.9571 c.) 0.9160 d.) 0.9783Table A: average monthly expenditure (in Rand) on fuel to power domestic generators by 20 households3 000 1 500 2 000 2 500 1 800 1 100 3 900 2 300 2 100 1 6002 900 1 400 1 800 2 200 1 900 3 800 3 600 3 100 2 700 1 800
- From the data given below, calculate Yule's coefficient of association between weight of children and their economic condition, and interpret it. Rich Children Poor Children Below Normal weight 75 23 Above Normal weight 42 42An analysis of production rejects resulted in the following figures: (attached) Calculate Karl Pearson’s coefficient of skewness and comment on the results.The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Find a 99% CI for β1.
- The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year’s usage and temperatures are in the following table: Month Temp. Usage/1000 Month Temp. Usage/1000 Jan. 21 185.79 July. 68 621.55 Feb. 24 214.47 Aug. 74 675.06 Mar. 32 288.03 Sept. 62 562.03 Apr. 47 424.84 Oct. 50 452.93 May 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.93 Suppose that the monthly average temperature is 47 F. Calculate the fitted value of y and the corresponding residual. Test for significance of regression using α=0.01 (Use ANOVA). Calculate the r2 of the model. Find a 99% CI for .From the following data calculate Karl Pearson coefficient of skewness Wages (000’s) 270-280 280-290 290-300 300-310 310-320 320-330 330-340 340-350 workers 12 18 35 42 50 45 20 8
- The table below gives the population of a town (in thousands) from 2000 to 2008. What was the average rate of change of population between 2002 and 2004, and between 2002 and 2006? Year 2000 2001 2002 2003 2004 2005 2006 2007 2008 Population (thousands) 87 84 82 80 76 75 79 83 85 (a) between 2002 and 2004 __________people per year(b) between 2002 and 2006 __________people per yearThe table shows the U.S. population and the number of Americans over age 65 at 10-year intervals since 1940 (about when the Social Security program was created). YEAR 1940 1950 1960 1970 1980 1990 2000 2010 U.S. Population (millions) 132 151 179 203 227 249 281 309 Americans over age 65 (millions) 9.0 12.7 17.2 20.9 26.1 31.9 34.9 40.4 a) What is the percentage increase in the U.S. population between 1940 and 2010? b) What is the percentage increase in the over-65 population between 1940 and 2010? c) In 2010, there were approximately 165 million Americans of working age (25-65). Estimate (Assume ½ of this population is working), the number of people who were actually working and contributing to Social Security in 2010. Compare this number to the over-65 population. d) How do these results affect the future of programs such as Social Security and Medicare? PART 2 – Growth: Linear versus Exponential Lab 5. Based on information in Deep River Jim’s…The data table found below contains the listed prices and weights of the diamonds in 20 rings offered for sale in a newspaper in a foreign city. The prices are in local dollars with the weights in carats. Weight (carats) Price (dollars) 0.25 653 0.21 560 0.37 1,131 0.14 265 0.30 877 0.37 1,114 0.17 369 0.24 593 0.22 557 0.24 589 0.35 1,036 0.15 304 0.16 284 0.39 1,220 0.20 506 0.22 508 0.25 638 0.12 224 0.25 650 0.23 582 (a) What is the estimated difference in price (on average) between diamond rings with diamonds that…
