A company that manufactures gas cylinder is interested in assessing the relationships between pressure (dependent variable) and volume of a gas (independent variable). The table below gives experimental values of pressure (P) of given mass of gas corresponding to various of the volume (V). According to thermodynamic principles, the relationship be of the form PVY = C where y and C are constants. Volume (C) Pressure (P) 53.3 61.8 72.4 88.7 119 194 61.2 49.5 37.6 28.4 19.2 10

A company that manufactures gas cylinder is interested in assessing the relationships between pressure (dependent variable) and volume of a gas (independent variable). The table below gives experimental values of pressure (P) of given mass of gas corresponding to various of the volume (V). According to thermodynamic principles, the relationship be of the form PVY = C where y and C are constants. Volume (C) Pressure (P) 53.3 61.8 72.4 88.7 119 194 61.2 49.5 37.6 28.4 19.2 10

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 44E

See similar textbooks

Related questions

Q: A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from…

A: We have given that, The data set are, X:- 0.65, 0.75, 0.89, 0.94, 1.12, 1.16, 1.29, 1.35, 1.48,…

Q: 2) A large industrial explosion occurred near a densely populated region in a major city. The…

A: Given data >60: High Exposure 40-59: Medium Exposure 20-39: Low Exposure <20: No exposure…

Q: Use a chi square test for independence to compare the proportion of males and females (sex) that…

Q: Coal gas is produced at a gasworks. Pollutants in the gas are removed by scrubbers, which become…

Q: Need : a, d, f. Ir the rest too

A: (a). To obtain the correlation coefficient: The data represents the values of the variables chirps…

Q: Garrett planted some parsley seeds in his garden and has been measuring their weeks. Week 12 Height…

A: (a) Calculate the increase in growth of plants from week 1-2, week 2-3 and week 3-4. week 1-2…

Q: In the table given below, experimentally obtained velocity (dependent variable) vs time…

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: a. Compute the mean and standard deviations for each of the tire pressure columns. b. Draw or create…

A: Data is given For 6 automobiles for pressure of left and right tyres According to guidelines, We…

Q: A severe storm has an average peak wave height of u=16.4 feet for waves hitting the shore. Suppose…

A: a) The level of significance is α = 0.01.

Q: Q1) For primary producers such as plants, photosynthesis requires carbon dioxide (CO₂), water (H₂O),…

A: Photosynthesis is a process by which plants make glucose and release oxygen with the help of…

Q: Suppose a researcher is interested in the effectiveness in a new childhood exercise program…

A: The null and alternate hypothesis are H0 : μ1-μ2=0HA : μ1-μ2<0 The mean and standard deviation…

Q: Flexural strength is a measure of a material's ability to resist failure in bending. The…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: In Exercises 69–70, traffic speed S along a certain road (in kilometers per hour) varies as a…

A: We use the x=70 and x=90 to find the slope of the secant

Q: Will human swim faster or slower in syrup? To investigate the fluid mechanics of swimming, 20…

A: Introduction: It is of interest to test of guar syrup changes the swimming speed or velocity…

Q: Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it…

A: variance=∑(x-x¯)2nstandard deviation=∑(x-x¯)2nlet us find x¯=sum of all obervationsn=22.46=3.733…

Q: In thermodynamics, the Van der Waal's equation relates the mean pressure, p, of a substance to its…

Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

A company that manufactures gas cylinder is interested in assessing the relationships between
pressure (dependent variable) and volume of a gas (independent variable). The table below
gives experimental values of pressure (P) of given mass of gas corresponding to various of the
volume (V). According to thermodynamic principles, the relationship be of the form
PVY = C
where y and C are constants.
Volume (C)
Pressure (P)
53.3
61.8
72.4
88.7
119
194
61.2
49.5
37.6
28.4
19.2
10
Find the values y and C that best fit the data (round off all your calculations to 3 d.p).

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Correlation, Regression, and Association$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.
aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).
Can the average rate of change of a function be constant?
A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.
aylor Swift wants to know the proportion of her fans who listened to her new single ME! within the first hour of it being released. In order to estimate this, she takes a sample of 150 of her fans and asks them if they listened to the song in this time period. Of the 150 fans, 135 of them (90%) responded that they did listen to the song during this time period. What is the parameter and what is its value? a. The parameter is the proportion of the 150 sampled Taylor Swift fans who listened to ME! within the first hour after it released, which is 135. b. The parameter is the group of Taylor Swift fans who were surveyed, which is 150. c. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is unknown. d. The parameter is the proportion of all Taylor Swift fans who listened to ME! within the first hour after it released, which is 0.9. e. The parameter is the…
PLEASE DO E PART
A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.67 0.70 0.93 0.95 1.09 1.01 1.29 1.24 1.41 1.56 1.73 1.80 Units of BCI (Y) 14.4 20.9 16.2 25.0 18.9 19.8 20.7 22.1 23.9 24.9 27.6 29.7 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)
The efficiency for a steel specimen immersed in a phosphating tank is the weight of the phosphate coating divided by the metal loss (both in mg/ft²). An article gave the accompanying data on tank temperature (x) and efficiency ratio (y). Temp. 173 y = Ratio Temp. 183 Ratio 175 176 Ratio 183 183 1.47 1.70 1.67 177 177 0.88 1.37 1.40 0.97 1.09 0.98 1.00 1.70 183 183 2.15 Temp. 185 185 185 187 2.11 178 187 184 179 0.90 184 180 1.53 185 0.80 188 189 191 1.89 1.98 2.74 1.51 2.56 3.02 1.77 3.16 (a) Determine the equation of the estimated regression line. (Round all numerical values to four decimal places.) (b) Calculate a point estimate for true average efficiency ratio when tank temperature is 185. (Round your answer to four decimal places.) (c) Calculate the values of the residuals from the least squares line for the four observations for which temperature is 185. (Round your answers to two decimal places.) (185, 0.80) (185, 1.89) (185, 1.98) (185, 2.74) Why do they not all have the same…
Medical studies of obesity use the Body Mass Index (BMI), which is defined by w BMI = where w is weight in kilograms and h is height in meters.
Medical researchers tested a new method of typing blood using low-cost paper. The researchers applied blood drops to the paper and recorded the rate of absorption (called blood wicking). The table gives the wicking lengths (millimeters) for six blood drops, each at a different antibody concentration. Let y = wicking length and x = antibody concentration. Droplet Length Concentration 1 22.50 0.0 2 16.00 0.2 3 13.50 0.4 14.00 0.6 5 13.75 0.8 6 12.50 1.0 (1) Give the equation of the fitted regression model. b1: (Round off to 4 decimal places) bo: (Round off to 4 decimal places) (2) Test the hypothesis that the Bo = 20 versus Bo < 20 using a=0.1. Test Statistic (Round off to 2 decimal places): Conclusion: (Type 'Reject HO' or 'Fail to Reject HO') (3) Construct the ANOVA table to test Bo = 0 versus Bo + 0 using a=0.05. (Show in Solution) (4) Find the coefficient of determination. (Round off to 4 decimal places)
Can you find the coefficient of determination