The electric power consumed each month by a chemical plant is thought to be related to the average ambient temperature x1, the number of days in the month x2, the average product purity x3,and the tons of product produced x4. The past year's historical data are available and are presented in the following table.y240236290274214301316910300300296x1253145600065997214X₂2421242520252026202520809084267752766028850261 38 232524242525X391908800879194287DA862088919089X₁10095110889499979611010510098Predict power consumption for a month in which x₁ =75°F, x₂ =24 days, x3 =90%, andx4 = 98 tons.Use 1 decimal place.

Formula Used: Multiple linear regression: Y = b0 + b1X1 + b2X2 + b3X3 + b4X4 Where, Y is dependent…

Answered: The electric power consumed each month…

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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Mercury is a persistent and dispersive environmental contaminant found in many ecosystems around the world. When released as an industrial by-product, it often finds its way into aquatic systems where it can have deleterious effects on various avian and aquatic species. The accompanying data on blood mercury concentration (µg/g) for adult females near contaminated rivers in a state was read from a graph in an article. 0.20 0.23 0.24 0.30 0.35 0.41 0.54 0.57 1.43 1.70 1.82 2.20 2.24 3.08 3.24 (a) Determine the values of the sample mean and sample median. Hint: xi = 18.55. (Round your answers to four decimal places.) x== Explain why they are different. The sample mean and sample median are never equal.They aren't different since the data is symmetric. There is heavy negative skewness in the data.There are an odd number of data values.There is heavy positive skewness in the data. (b) Determine the value of the 10% trimmed mean.…
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.6 8.3 7.1 3.9 2.7 2.5 2.5 0.3 yy 13.6 10.8 10.3 7.3 6 6.3 6 4.5 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation ˆy=0.82x+4.09.y^=0.82x+4.09. Use this equation to answer the following.A) How many murders per 100,000 residents can be expected in a state with 4 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 3.2 thousand automatic weapons?Answer = Round to 3 decimal places.
Below is the data for speed vs fuel consumption. The first set is speed(x); the second is fuel (y). if x = 10, y = 21 if x = 20 y =13, if x=30 y=10 if x = 40 y =8 if x = 50 y=7 if x =60 y = 5.9 if x = 70 y = 6.3 if x = 80 y = 6.95 if x = 90 y = 7.57 if x = 100 y = 8.27 if x = 110 y = 9.03 if x = 120 y = 9.87 if x = 130 y = 10.79 if x = 140 y = 11.77 and if x = 150 y =12.83. The equation of the LSR line is y^ = 11.058 - .015x The average of (x, y) are (80, 9.9) respectively. Find another point using the LSR equation, and graph the line
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.5 8.5 7 3.7 2.7 2.5 2.6 0.8 yy 13.8 11.1 10.1 7.2 6.4 6.1 6.1 4.8 xx = thousands of automatic weaponsyy = murders per 100,000 residentsThis data can be modeled by the equation ˆy=0.85x+4.05.y^=0.85x+4.05. Use this equation to answer the following.A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 3.3 thousand automatic weapons?Answer = Round to 3 decimal places.
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5. The electric power consumed each month by a chemical plant to thought to be related to the average ambient temperature x₁, the number of days in the month X2, the average product purity x3, and the tons of product produced x4. The past year's historical data are available and are presented in the following table. y 240 236 270 274 301 316 300 296 267 276 288 261 X₁ 25 31 45 60 65 72 80 84 75 60 50 38 X₂ 24 21 24 25 25 26 25 25 24 25 25 23 X3 91 90 88 87 91 94 87 86 88 91 90 89 X4 100 95 110 88 94 99 97 96 110 105 100 98
For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20. week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30
Age, x 16 25 39 45 49 64 70 29 57 22 Systolic blood pressure 109 122 143 132 199 185 199 130 175 118 4. If x is 30 , what would you expect y (in mm ??) to be?
The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 32 6 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) places. Round the coefficients to 4 decimal Hint: Use the variable t from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2019. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years
11-7. 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: Usage/ 1000 Usage/ 1000 Month Temp. Month Temp. 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 Мay 50 454.58 Nov. 41 369.95 June 59 539.03 Dec. 30 273.98 (a) Assuming that a simple linear regression model is appro- priate, fit the regression model relating steam usage (y) to the average temperature (x). What is the estimate of o²?
It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values: Number of Temperature chirps 69.7 882 93.3 1188 84.3 1104 76.3 864 88.6 1200 82.6 1032 71.6 960 79.6 900

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