3. a) Calculate the correlation coefficient from the following data on hourly sales (x) and expenses (y) of 7 stores:x: 70666871696567y: 72686969726766Explain your result.b) To study the tensile strength of a certain type of wire, the following pairs of observations were recorded, wherex is the diameter in cm and y is the mass supported in kg/cm.x: 0.60.8 1.0 1.2 1.4 1.61.82.02.22.4y: 1426505642988288134124Calculate the least-squares regression line and extrapolate the regression line to a diameter of 0.2 cm. Alsoexplain your result.4. a) The price paid for bread, potatoes and onions and quantity consumed by a family in 2015 and 2020 are asshown in the accompanying table. Calculate all possible weighted indexes using appropriate formula.Base year (2015)Current year (2020)QuantityPriceItemBread (1 loaf)Potato (I kg)Onion (Ikg)Quantity7.Price20156.25122013104508b) The sales of a small grocery chain, since 1985 are as shown in the accompanying table in million BDT. Graphthe data fit a trend line employing least-squares method. Using your estimated trend line, forecast the sales for1984 and 1991YearSales in Million BDT19859.198620198716198812198915

Given: Sr. No. x y 1 70 72 2 66 68 3 68 69 4 71 69 5 69 72 6 65 67 7 67 66

Answered: a) Calculate the correlation…

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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The accompanying data are x = cost (cents per serving) and y = fiber content (grams per serving) for 18 high-fiber cereals rated by a magazine. Cost per Serving Fiber per Serving Cost per Serving Fiber per Serving r = 35 46 49 62 r = 41 19 77 71 30 9.3 10 10 7 6.4 7 7 10 12 10 9.6 7 8 8 Cost per Fiber per Cup Cup 7 12 12 8 USE SALT 49 46 49 (a) Calculate the value of the correlation coefficient for this data set. (Round your answer to four decimal places.) 62 32.8 Interpret the value of the correlation coefficient. O There is a strong positive linear relationship between cost per serving and fiber per serving. O There is a weak negative linear relationship between cost per serving and fiber per serving. O There is a weak positive linear relationship between cost per serving and fiber per serving. O There is no correlation between cost per serving and fiber per serving. O There is a strong negative linear relationship between cost per serving and fiber per serving. 19 53 (b) The serving…
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