While shopping for an air conditione, a buyer bonsulted the following table giving a machine's BTUS and the square footage ( that it would coolt' (x)BTUS (y) 5100 5400 6350 6700 7275 7825 8300 8550 9750 9900150 175 230 250 285315 350 360 435 | 450(a) Find a linear model for the data. (b) Use the results from part (a) to find the number of BTUS required to cool rooms of 360 ft, 435 r, and 450 (c) Supposea room measures 215 Use the results from part (a) to decide how many BTUS it requires if the air conditioners are available only with the BTU cholces in thetable, which is the best choice?(a) Find a linear model for the data Find the least-aquares regression ine Once you have found the line in ynix+b form, input the values of m and b into theappropriate boxes belowA linear model for the data is y(Round to the nearest whole number as needed)%3D

Answered: Image /qna-images/answer/f90b5280-4a9d-4d12-a4a0-2bdf65da011b.jpg

Answered: While shopping for an air conditioner,…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 34EQ

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The data in the following table show the amount of water in milliliters a professional tennis player loses for various times, in minutes, of play during a tennis match. Time of Workout(in minutes), x 10 20 30 40 50 60 Water Lost(in milliliters), y 500 900 1,200 1,500 2,000 2,200 (a) Use the points (10, 500) and (60, 2,200) to find a linear model that will predict the water lost y (in mL) by a player who has been playing for x minutes. y = (b) Use your linear model to estimate the amount of water lost (in mL) by a player who has been playing for 15 minutes. mL
The data in the following table show the amount of water in milliliters a professional tennis player loses for various times, in minutes, of play during a tennis match. Time of Workout(in minutes), x 10 20 30 40 50 60 Water Lost(in milliliters), y 600 900 1,200 1,500 2,000 2,200 (a)Use the points (10, 600) and (60, 2,200) to find a linear model that will predict the water lost y (in mL) by a player who has been playing for x minutes. (b) Use your linear model to estimate the amount of water lost (in mL) by a player who has been playing for 15 minutes.
A value of r close to plus or minus 1 indicates that there is a strong linear relationship between the variables true or false?
As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily minimum and maximum temperatures were 5.8°C and 15.1°C, respectively. Between 1891 and 1968, these average temperatures rose 0.019°C/yr and 0.011°C/yr, respectively. Assuming the increases were linear, find the year when the difference between the minimum and maximum temperatures was 9C, and determine the corresponding average maximum temperature.
A medical researcher wishes to determine how the dosage (in milliliters) of an experimental drugaffects the heart rate (in beats per minute) of patients with an elevated heart rate. The data for asample of eight patients with an elevated heart rate are provided in the following table.Drug Dosage 0 5 10 20 25 30 40 50Heart Rate 135 124 106 89 85 72 68 62(a) Determine the linear regression model that will best predict a patient’s heart rate based on thedosage of the drug received. (b) How well does the linear regression model fit this sample data? (c) If a patient with an elevated heart rate is administered a 35 ml dose of this drug, predict theresulting heart rate of the patient.
A value of r close to _______ suggests at most a weak linear relationship between the variables.
The annual energy consumption in billions of Btu for both natural gas and coal is shown for a random selection of states. Gas 223 474 377 289 747 146 Coal 478 631 413 356 736 474 If 500 billion Btu of natural gas is used then what is the projected amount of coal that is usedThe projected amount of coal that is used is billion Btu. (Use your regression equation with the rounded values for m and b to find your answer to this question. Round your answer to THREE decimal places, add extra zeros at the end, if needed) (Round answer to 3 decimal places, for example, XXX.XXX)
The table contains data on vehicle speed (h) and fuel consumption (lt / 100km) of 5 randomly selected vehicles. Estimate the average fuel consumption of a vehicle traveling at 45 km / h using the simple linear regression equation between vehicle speed and fuel consumption. Speed 55 60 65 70 75 Consumption 11 10 9 8 7 Please choose one: a. 6 b. 5 c. 13 D. 8
generate a simple linear regression solution such that Price predicts Sales. If management sets the price to be $2.35, what is the forecast for Sales (in 1000s)? Price: 2.00 4782.50 3733.00 3352.00 4732.50 3583.00 3292.00 4562.50 3603.00 3222.50 4373.00 3653.50 3423.50 4104.00 5534.00 4453.50 3324.00 6414.00 3723.00 8003.00 6202.50 3902.00 7902.50 6703.00 393
King & Scott, a research firm for the real estate industry, studied the relation between x=x= annual income (in thousands of dollars) and y=y= sale price of house purchased (in thousands of dollars). A random sample of data was collected from mortgage applications for home sales in the region of the study, and is given in the table. Annual Income House Price 72 188 48 91.6 73 182.2 97 155.5 97 238.8 94 203.4 67 160.1 85 212 64 169 Conduct a linear regression. Use the results to answer the following questions. a. What is the value of the correlation coefficient (round to 3 decimal places)? What does the value tell you about the linear relationship between the annual income and the price of house purchased? Correlation coefficient: This indicates: very weak positive linear correlation fairly strong negative linear correlation perfect positive linear correlation very weak negative linear correlation perfect negative linear correlation no linear…
The table presents data on the taste test of 38 brands of pinot noir wine [data were first reported in an article by Kwan, Kowalski, and Skogenboe in the Journal Agricultural and Food Chemistry (1979, Vol. 27), the response variable is y = quality, and we want to find the "best" regression equation that relates quality to the other five parameters
(a)The following table shows the amount of melted plastic (in grams) at various temperatures of the plastic (in Celsius). Temperature (Celcius) 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 Melted Plastic (in grams) 8.1 7.8 8.5 9.8 9.5 8.9 8.6 10.2 9.3 9.2 10.5 (I)Find the linear regression equation of the amount of melted plastic temperature. (ii)Estimate the amount of melted plastic at temperature 1.75 Celcius. (iii)Calculate the coefficient of correlation and comment on the relationship between temperature and amount of melted plastic. (iv)Calculate the Spearman’s rank correlation coefficient for the above data. (b)A random sample of twelve students were chosen, and their midterm test score ( y), assignment score (x1), and missed classes (x2) were…

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