The number of kilograms ofsteam used per month by achemical plant is thought to berelated to the average ambienttemperature for that month.Given the following past data.X:y:X:y:TemperatureUsageTemperatureUsage-68520282-49723306131172548192102051020615245Calculate Syv, Show calculations Determine whether or not thefollowing models areintrinsically linear. If yes,formulate the appropriatetransformation to generate thelinear model. Show answerdetailsy=x/(B0 X+B1+Xe)

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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 table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.6 7.1 3.8 2.3 2.3 2.2 0.3 y 14.3 11 9.9 7.3 5.7 5.7 5.6 4.1 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.87x+3.75. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.5 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
Consider the following data: x −6 −5 −4 −3 −2 P(X=x) 0.2 0.2 0.2 0.2 0.2 Find the value of P(X<−3). Round your answer to one decimal place. Find the value of P(X>−6). Round your answer to one decimal place.
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?
IS YOUR DATA BASELINE DATA AUTOCORRELATED. behavior 2 4 6 8 10 o D 2 4 A time ° 6 8 0
A meteorologist records the temperature (in degrees Fahrenheit) and the amount of rain (in centimeters) during a series of rain storms. Her data is below: Temperature 62 38 29 55 61 70 47 Rain amount 1.2 6.3 5.1 2.2 0.8 1.4 3.3 Based on this, she wants to determine whether the temperature influences how much rain will fall Answer each question below, romling all values to at least 2 decimal places. (a) Find an equation of the least-squares regression line based on this sample. (b) Use your answer from part. (a) to predict the amount of rain in a storm that takes place when the temperature is 58 degrees Fahrenheit. (If for any reason you could not complete part (a), use --2.5+ 0.15.x instead.) (c) Find the residual for a storm in 40-degree weather that creates 4.2 centimeters of rain.
HW5 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 Assuming that a simple linear regression model is appropriate, fit the regression model relating stem usage (y) to the average temperature (x). What is the estimate of ? What is the estimate of expected stem usage when the average temperature is 55 F? What change in mean stem usage is expected when the monthly average temperature changes by 1 F? 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).…
The data in the following table relate grams plant dry weight (Y) to percent soil organic matter (X1) and kilograms of supplemental soil nitrogen added per 1000 square meters (X2). X1 X2 78.5 7 2.6 74.3 1 2.9 104.3 | 11 5.6 87.6 11 3.1 95.9 7 5.2 109.2 11 102.7 | 3 5.5 7.1 Define Y, X, В, е. 1
The mall has a set of data with employee age (X) and the corresponding number of annual on-the-job-accidents(Y). Analysis on the set finds that the regression equation is Y=100-3X. What is the likely number of accidents for someone aged 30? 97 100 10 none of the above
A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the following questions. Time (hr) Leakage (gal/hr) 1 30 2 3 7 8 720 4 65 150 240 290 410 550 650 An upper limit estimate for the amount of material leaked after 4 hours is (Simplify your answer.) gal. A lower limit estimate for the amount of material leaked after 4 hours is gal. (Simplify your answer.) An upper limit estimate for the amount of material leaked after 8 hours is (Simplify your answer.) gal. A lower limit estimate for the amount of material leaked after 8 hours is gal. (Simplify your answer.) If the leakage occurs at a constant rate of 720 gal/hr after 8 hours and the tank initially held 20,000 gallons of material, an estimate for the least amount of time for the tank to empty is hr. (Round to the nearest tenth as needed.) If the leakage occurs at a constant rate of 720 gal/hr after 8 hours and the tank initially held 20,000 gallons of material, an estimate for the most amount…

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The number of kilograms of steam used per month by a chemical plant is thought to be related to the average ambient temperature for that month. Given the following past data. X: y: X: y: TemperatureUsageTemperatureUsage -6 85 20 282 -4 97 23 306 131 17 254 8. 192 10 205 10 206 15 245