2/ 2100%C. The crushing strength of mortar varies with the percentage of waterused in its preparation, as shown below.Crushing strength, F1.641.361.070.780.50.22(tonnes)% of water used, w101520253035Plot a graph of F (vertically) against w (horizontally).i. Interpolate and determine the crushing strength when22% of water is used.ii. Assuming the graph continues in the same mannerextrapolate and determine the percentage of water usedwhen the crushing strength is 0.25 tonnes.iii. Determine the equation of the graph.128C Partly sI

In this question we will use basic of algebra i.e concept of interpolation and extrapolation.…

Answered: rushing strength, F 1.64 1.36 1.07 0.78…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.1 5.6 4.0 5.2 6.2 6.5 11.1 y −1.8 −4.0 −7.2 −4.0 3.6 −0.1 −4.4 Complete parts (a) through (e), given Σx = 44.7, Σy = −17.9, Σx2 = 315.51, Σy2 = 119.41, Σxy = −110.15, and r ≈ 0.0883. (a) Draw a scatter diagram displaying the data. (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Σx = Σy = Σx2 = Σy2 = Σxy = r = (c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answer to four decimal places.) x = y = = + x (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be…
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Garrett planted some parsley seeds in his garden and has been measuring their growth over the last four IN weeks. 12 34 Height (in em)| 2 4 5.6 11 Week Based on the information he has gathered: a. What is the average weekly increase in growth? Average weekly increase: 2 cm/week b. Write a mathematical model that estimates the approximate height, H. of the parsley at the end of week r. Model: H = c. Use your model to predict the height of the plant after 14 weeks. Prediction: cm
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Does prison really deter violent crime? Let x represent percent change in the rate of violent crime and y represent percent change in the rate of imprisonment in the general U.S. population. For 7 recent years, the following data have been obtained. x 6.5 5.8 4.3 5.2 6.2 6.5 11.1 y −1.3 −4.4 −7.8 −4.0 3.6 −0.1 −4.4 Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to four decimal places. Round your answers for the percentages to two decimal place.) r2 = explained % unexplained % Considering the values of r and r2, does it make sense to use the least-squares line for prediction? Explain your answer. A) The correlation between the variables is so low that it makes sense to use the least-squares line for prediction. B) The correlation between the variables is so…
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