A production plant cost-control engineer is responsible for cost reduction. One of the costly items in the plant is the amount of water used by the production facilities each month. The engineer decides to investi- gate water usage by collecting seventeen observations on the plant's monthly water usage (in gallons) and other variables. Run a regression where water usage is the dependent variable and temperature (average monthly temperature in Fahrenheit), production in 1000 pounds, days (Number of plant operating days in the month), and persons (Number of persons on the monthly plant payroll) are independent variables. Inter- pret all relevant output.

A production plant cost-control engineer is responsible for cost reduction. One of the costly items in the plant is the amount of water used by the production facilities each month. The engineer decides to investi- gate water usage by collecting seventeen observations on the plant's monthly water usage (in gallons) and other variables. Run a regression where water usage is the dependent variable and temperature (average monthly temperature in Fahrenheit), production in 1000 pounds, days (Number of plant operating days in the month), and persons (Number of persons on the monthly plant payroll) are independent variables. Inter- pret all relevant output.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 4SGR

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Is a linear model appropriate for this type of data? Explain.
In mammals, the toxicity of drugs, pesticides and chemical carcinogens can be altered by inducing liver enzyme activity. In a study on chickens, five liver enzymes had their activity induced by butylated hydroxytoluene, and the resulting percent detoxification of malathion (an organophosphate insecticide) was recorded. The experimenters believed that the response (% detoxification, DT) could be modelled by a multiple linear regression based on the activities of the individual enzymes (EAi, i = 1 to 5, measured as a percentage of normal activity): DT = b0 + b1×EA1 + b2×EA2 + b3×EA3 + b4×EA4 +b5×EA5 The results from the experiment are contained in the screenshot, which contains six variables: Detox – DT, the % detoxification of malathion by liver. EA1 – EA1, activity of enzyme 1 (% of normal activity). EA2 – EA2, activity of enzyme 2 (% of normal activity). EA3 – EA3, activity of enzyme 3 (% of normal activity). EA4 – EA4, activity of enzyme 4…
In mammals, the toxicity of drugs, pesticides and chemical carcinogens can be altered by inducing liver enzyme activity. In a study on chickens, five liver enzymes had their activity induced by butylated hydroxytoluene, and the resulting percent detoxification of malathion (an organophosphate insecticide) was recorded. The experimenters believed that the response (% detoxification, DT) could be modelled by a multiple linear regression based on the activities of the individual enzymes (EAi, i = 1 to 5, measured as a percentage of normal activity): DT = b0 + b1×EA1 + b2×EA2 + b3×EA3 + b4×EA4 +b5×EA5 The results from the experiment are contained in the screenshot, which contains six variables: Detox – DT, the % detoxification of malathion by liver. EA1 – EA1, activity of enzyme 1 (% of normal activity). EA2 – EA2, activity of enzyme 2 (% of normal activity). EA3 – EA3, activity of enzyme 3 (% of normal activity). EA4 – EA4, activity of enzyme 4 (% of normal activity). EA5 – EA5, activity…
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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.
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Find the degrees of freedom in a regression model with an intercept term that has 88 observations and 7 explanatory variables.
A real estate analyst has developed a multiple regression line, y = 60 + 0.068 x1 – 2.5 x2, to predict y = the market price of a home (in $1,000s), using two independent variables, x1 = the total number of square feet of living space, and x2 = the age of the house in years. With this regression model, the predicted price of a 10-year old home with 2,500 square feet of living area is __________. $205.00 $200,000.00 $205,000.00 $255,000.00
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temp	prod	days	persons	water
58.8	7107	21	129	3067
65.2	6373	22	141	2828
70.9	6796	22	153	2891
77.4	9208	20	166	2994
79.3	14792	25	193	3082
81	14564	23	189	3898
71.9	11964	20	175	3502
63.9	13526	23	186	3060
54.5	12656	20	190	3211
39.5	14119	20	187	3286
44.5	16691	22	195	3542
43.6	14571	19	206	3125
56	13619	22	198	3022
64.7	14575	22	192	2922
73	14556	21	191	3950
78.9	18573	21	200	4488
79.4	15618	22	200	3295