112 103 84 132 93 151 139 97 116 120 A USE SALT (a) Let , denote the average gas usage during January by all houses in this area. Calculate a point estimate of u. therms (b) Suppose that 10,000 houses in this area use natural gas for heating. Let r denote the total amount of gas used by all of these houses during January. Estimate r using the given data. therms What statistic did you use to calculate your estimate? sample standard deviation O sample range O sample variance O sample mean (c) Use the given data to estimate p, the proportion of all houses that used at least 100 therms.

112 103 84 132 93 151 139 97 116 120 A USE SALT (a) Let , denote the average gas usage during January by all houses in this area. Calculate a point estimate of u. therms (b) Suppose that 10,000 houses in this area use natural gas for heating. Let r denote the total amount of gas used by all of these houses during January. Estimate r using the given data. therms What statistic did you use to calculate your estimate? sample standard deviation O sample range O sample variance O sample mean (c) Use the given data to estimate p, the proportion of all houses that used at least 100 therms.

Name: A random sample of 10 houses heated with natural gas in a particular
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Description: A random sample of 10 houses heated with natural gas in a particular area is selected, and the amount of gas (in therms) used during the month of January is determined for each house. The resulting observations are as follows.112 103 84 132 93 151 1

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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When water flows across farmland, some soil is washed away, resulting in erosion. An experiment was conducted to investigate the effect of the rate of water flow (liters per second) on the amount of soil (kilograms) washed away. The data are given in the following table: Flow rate 0.31 0.85 1.26 2.47 3.75 Eroded soil 0.82 1.95 2.18 3.01 6.07 Let xx represent the flow rate variable and yy represent the variable for soil eroded. Then \bar x = 1.73, s_x = 1.38, \bar y = 2.81, s_y = 1.99xˉ=1.73,sx=1.38,yˉ=2.81,sy=1.99 Use this to complete the following calculation of the correlation coefficient for these data. r = \frac{1}{n-1}\left[\left(\frac{x_1 - \bar x}{s_x}\right)\left(\frac{y_1 - \bar y}{s_y}\right) + \left(\frac{x_2 - \bar x}{s_x}\right)\left(\frac{y_2 - \bar y}{s_y}\right) + \cdots + \left(\frac{x_n - \bar x}{s_x}\right)\left(\frac{y_n - \bar y}{s_y}\right)\right]r=n−11[(sxx1−xˉ)(syy1−yˉ)+(sxx2−xˉ)(syy2−yˉ)+⋯+(sxxn−xˉ)(syyn−yˉ)]…
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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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