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a) Calculate the correlation coefficient from the following data on hourly sales (x) and expenses (y) of 7 stores: x: 70 66 68 71 69 65 67 y: 72 68 69 69 72 67 66 Explain your result. b) To study the tensile strength of a certain type of wire, the following pairs of observations were recorded, where x is the diameter in cm and y is the mass supported in kg/cm. x: 0.6 1.4 0.8 1.0 1.2 1.6 1.8 2.0 2.2 2.4 y: 14 26 50 56 42 98 82 88 134 124 Calculate the least-squares regression line and extrapolate the regression line to a diameter of 0.2 cm. Also explain your result.

a) Calculate the correlation coefficient from the following data on hourly sales (x) and expenses (y) of 7 stores: x: 70 66 68 71 69 65 67 y: 72 68 69 69 72 67 66 Explain your result. b) To study the tensile strength of a certain type of wire, the following pairs of observations were recorded, where x is the diameter in cm and y is the mass supported in kg/cm. x: 0.6 1.4 0.8 1.0 1.2 1.6 1.8 2.0 2.2 2.4 y: 14 26 50 56 42 98 82 88 134 124 Calculate the least-squares regression line and extrapolate the regression line to a diameter of 0.2 cm. Also explain your result.

MATLAB: An Introduction with Applications
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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3. a) Calculate the correlation coefficient from the following data on hourly sales (x) and expenses (y) of 7 stores: x: 70 66 68 71 69 65 67 y: 72 68 69 69 72 67 66 Explain your result. b) To study the tensile strength of a certain type of wire, the following pairs of observations were recorded, where x is the diameter in cm and y is the mass supported in kg/cm. x: 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 y: 14 26 50 56 42 98 82 88 134 124 Calculate the least-squares regression line and extrapolate the regression line to a diameter of 0.2 cm. Also explain your result. 4. a) The price paid for bread, potatoes and onions and quantity consumed by a family in 2015 and 2020 are as shown in the accompanying table. Calculate all possible weighted indexes using appropriate formula. Base year (2015) Current year (2020) Quantity Price Item Bread (1 loaf) Potato (I kg) Onion (Ikg) Quantity 7. Price 20 15 6. 25 12 20 13 10 4 50 8 b) The sales of a small grocery chain, since 1985 are as shown in the accompanying table in million BDT. Graph the data fit a trend line employing least-squares method. Using your estimated trend line, forecast the sales for 1984 and 1991 Year Sales in Million BDT 1985 9. 1986 20 1987 16 1988 12 1989 15
Transcribed Image Text:3. a) Calculate the correlation coefficient from the following data on hourly sales (x) and expenses (y) of 7 stores: x: 70 66 68 71 69 65 67 y: 72 68 69 69 72 67 66 Explain your result. b) To study the tensile strength of a certain type of wire, the following pairs of observations were recorded, where x is the diameter in cm and y is the mass supported in kg/cm. x: 0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2 2.4 y: 14 26 50 56 42 98 82 88 134 124 Calculate the least-squares regression line and extrapolate the regression line to a diameter of 0.2 cm. Also explain your result. 4. a) The price paid for bread, potatoes and onions and quantity consumed by a family in 2015 and 2020 are as shown in the accompanying table. Calculate all possible weighted indexes using appropriate formula. Base year (2015) Current year (2020) Quantity Price Item Bread (1 loaf) Potato (I kg) Onion (Ikg) Quantity 7. Price 20 15 6. 25 12 20 13 10 4 50 8 b) The sales of a small grocery chain, since 1985 are as shown in the accompanying table in million BDT. Graph the data fit a trend line employing least-squares method. Using your estimated trend line, forecast the sales for 1984 and 1991 Year Sales in Million BDT 1985 9. 1986 20 1987 16 1988 12 1989 15
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