The Table shown gives experimental values of the pressure P of a given mass of gas corresponding to various values of the volume V. According to thermodynamic principles, a relationshiphaving the form PVK = C, where k and C are constants, should exist between the variables. Use least squares method and linear regression to solve the following.1) Find the value of k.a) 1.2 b) 1.3 c) 1.4 d) 1.52) Find the value of C (x104).a) 1.3 b) 1.4 c) 1.5d) 1.63) Estimate P when V = 100.0 ina) 18.9 b) 21.7 c) 24.8 d) 29.5TABLEV(in³)54.361.872.488.7118.6194.0P(lb/in?) 61.2 49.537.628.410.119.2Write only the letter corresponding to the correct answer.

Here given : Table consist volume and pressure, We have to use least square methode. We have to…

Answered: The Table shown gives experimental…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section: Chapter Questions

Problem 18T

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bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.
The population Pinmillions of Texas from 2001 through 2014 can be approximated by the model P=20.913e0.0184t, where t represents the year, with t=1 corresponding to 2001. According to this model, when will the population reach 32 million?
assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of NE: On average, a plant constructed in northeast region of USA costs _____ than a plant constructed in other regions, while keeping other variables constant A) 100 dollars more B) 100 millions of dollars more C) 100 millions of dollars less D) 100 dollars less
An experiment is performed to define the relationship between applied stress and the time to fracture for a type of stainless steel. Eight different values of stress are applied, and the resulting data is Applied stress x, kg/mm 5 10 15 18 2530 35 40 Fracture time y, hr 4030 2538 18 20 22 14 Using least square regression, fit a quadratic function to the data. Show your calculations
The table contains the state population and the number of licensed drivers in the state (both in millions) for the states with population under 1 million in 2014. The regression model for this data is y=0.64x+0.01 where x is the state population (in millions) and v is the number of 0.7 1.4 State pop. (millions. State ABCDEFG T Licensed Drivers in 2014 Population 0.75 0.93 0.96 0.75 0.86 0.62 0.59 0.7 14 € 0 State pop. (millions. Licensed Drivers 0.49 0.61 0.63 6 0.7 14 State pop. (millions, The estimated number of licensed drivers in state H in 2014 is (Type a whole number. Round to the nearest thousand as needed.) 0.49 0.55 0.41 0.39 (B) If the population of state H in 2014 was about 1.6 million, use the model to estimate the number of licensed drivers in state H in 2014. 0 0.7 State pop. (millions, The estimated population of state J in 2014 is (Type a whole number. Round to the nearest thousand as needed.) (C) If the number of licensed drivers in state J in 2014 was about 1,019,000,…
The relationship between yield of maize (a type of corn), date of planting, and planting density was investigated in an article. Let the variables be defined as follows. y = maize yield (percent) x₁ = planting date (days after April 20) x₂ = planting density (10,000 plants/ha) = The following regression model with both quadratic terms where x3 and the independent variables. y = 2 % x₁ and X4 y = a + B₁x₁ + B₂×2 + B3×3 + B4x4 + e (a) If a = 21.08, B₁ = 0.652, B₂ = 0.0023, B3 = -0.0208, and 4 = 0.2, what is the population regression function? = O No, since there are other terms involving X₁. O Yes, since there are other terms involving X₁. O Yes, since there are no other terms involving X₁. x₂ provides a good description of the relationship between y (b) Use the regression function in part (a) to determine the mean yield (in percent) for a plot planted on May 3 with a density of 41,178 plants/ha. (Round you answer to two decimal places.) (c) Would the mean yield be higher for a planting…
A student wanted to study the effects of a new type of plant food on the growth of a particular type of flower. Using five different concentrations of food, the plants were then allowed to grow over a 2-month period. At the end of the 2 months, the heights of the plants were measured. A regression analysis was completed, and the relationship was found to be linear with the least squares equation of ŷ = 3.31 + 1.37x, where y is the height of the plant and x is the concentration of the plant food. The standard error for the slope was found to be 0.39. (a) Calculate the test statistic for a hypothesis test for the slope. (Round your answer to two decimal places.) (b) A hypothesis test was done for the slope of the least squares regression line, and a P-value of 0.0056 was found. Which of the following conclusions is appropriate? (Use ? = 0.05.) Fail to reject the null hypothesis and conclude that there is sufficient evidence of a linear relationship between the concentration…
Q13) assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of S: On average, with each additional MWe of net capacity, the construction cost _____ while keeping other variables constant. A) decreases by $0.4 B) increases by $400,000 C) increases by $0.4 D) decreases by $400,000
The relationship between the number of beers consumed and the blood alcohol content was studied in 16 male college students by using the least squares regression. The following regression equation was obtained from the study: y ̂= -0.0127+0.0180x The above equation implies that:A. each beer consumed increases blood alcohol by 1.27%.B. on the average, it takes 1.8 beers to increase blood alcohol content by 1%.C. Each beer consumed increases blood alcohol by an average amount of 1.8%.D. Each beer consumed increases blood alcohol by exactly 0.018 units.
A biologist collected data on a sample of 20 porcupines. She wants to be able to predict the body mass of a porcupine (M, in grams) based on the length of the porcupine (L, in cm). Her least squares regression equation is M = – 3089 + 175.6L. Predict the body mass of a porcupine that is 51 cm long. Report your answer using one decimal place. O 5661.0 g O 5732.5 g O 5866.6 g O 6139.2 g eTextbook and Media Save for Later Last saved 3 minutes ago. Attempts: 2 of 3 used Submit Answer Saved work will be auto-submitted on the due date. Auto- submission can take up to 10 minutes.
A physics student wants to measure the stiffness of a spring (force required per cm stretched). He knows that according to Hooke's law, there is a linear relationship between the distance a spring is stretched and the force needed to stretch the spring. He collects some data by measuring the force applied to the spring when he stretches the spring by some amount. The plot and the least squares fit is given below.From the regression model, the intercept was found to be -2.532 and the slope was found to be 25.321.Part i).The stiffness of the spring was predicted to beA. -9.961B. 25.321C. 50.642D. -2.532E. 125.84Part ii).Refer to the previous question, the physics student used the regression model to predict that a force of 377.28N would be required to stretch the spring by 15cm. Remarkably, his prediction was horribly wrong. Can you explain why? (Check all that apply)A. He made a prediction outside of the range of forces observed.B. He had outliers or influential points in his data.C.…

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