The table below shows experimental values of two variables x and y which are related by the equationy = kx', where k and t are constants.1.522.534.56y452515.81152.6(i) Plot a straight line graph of lg y against lg x.(ii) Use your graph to estimate the value of k and of t.(iii) On the same diagram, draw the line representing the equation y = x' and hence find the value of x forwhich x- = k.

Given the experimental values of two variables x and y as x y 1.5 45 2 25 2.5 15.8 3 11…

Answered: The table below shows experimental…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Part A: You are calibrating a temperature sensor that you believe will have a linear input/output relationship. You collect the three data points below: Temperature (C) 0 50 100 Output Voltage (V) 1.2 1.9 3.2 You wish to find output Voltage as a function of input Temperature (i.e., the calibration curve), and assume a linear relationship of the form: V = a₁T + ao Using the method and equations we discussed in class, find the coefficients a, and a for the best fit regression line.
You have the following data points which belong to a function of the form y = aei, where b can be positive or negative. 34.1 11.6 9.38 2.00 4.00 5.00 You wish to determine the value of the constant, b, and to do so you will construct a linear plot. What will you plot against what? Y-axis label: x-axis label: From the values of x and y in the table above, calculate the values of the three corresponding data points. Click on use the "Freeform Curves" tool to plot the data. Line segments will automatically connect the points. graph belo Enter Solution What is the numerical value of the constant, b? Previous Next b =
Use the computer output to estimate the intercept β0 and the slope β1.The regression equation is Y⁢=825-3.12X. Predictor Coef SE Coef T P Constant 825.405 89.72 9.20 0.000 X -3.119 1.023 -3.05 0.006 Intercept β0: Slope β1: Click if you would like to Show Work for this question: Open Show Work
Solve Part F. Please and Thank You.
8. Given a line l defined by y = 3x – 8. (hint: m=?) (a) Write the slope-intercept equation for the line r parallel to line l and passing through point P(6, 3). %3D The slope-intercept form is (b) Write the slope-intercept equation for the line s perpendicular to line l and passing through Q(0, 2). The slope-intercept form is
The scatter plot shows the time spent studying, x, and the midterm score, y, for each of 23 students. 100 90 80 70 Midterm score 60 50 40 30 X X 20 10- 4 6 10 12 14 16 18 20 Time spent studying (in hours) Use the equation of the line of best fit, y = 3.78x+ 16.88, to answer the questions below. Give exact answers, not rounded approximations. (a) What is the predicted midterm score for a student who doesn't spend any time studying? (b) For an increase of one hour in the time spent studying, what is the predicted increase in the midterm score? (c) What is the predicted midterm score for a student who studies for 12 hours?
6 The table shows the number of gallons of gasoline in a car's gas tank after the car has been driven x miles. Gasoline Usage Gallons of Miles Driven, Gasoline in Tank, y 15 10 14.6 20 14.2 35 13.6 60 12.6 75 12 When these data are graphed on a coordinate grid, the points all lie on the same line. What are the slope and y-intercept of this line? F Slope 25' y-intercept = 375 G Slope = 25 Y-intercept = 15 H Slope = 25, y-intercept = 375 J Slope = -25, y-intercept = 15
QQ1. Altitude and Temperature:Altitude( thousands of feet)3 10 14 22 28 31 33Temperature( 0?)57 37 24 −5 −30 −41 −54At 6.327 thousand feet, the author recorded the temperature. Find the best predicted temperatureat that altitude. How does the result compare to the actual recorded value of 480?? d) Find the regression equation,e) Letting the first variable be the predictor (x) variable, find the indicated predicted value.
y = mx + C The data set given in Table 2 is expected to obey a non-linear relation X = ½ at?. You are asked to plot (X) versus (t) such as to obtain a straight line graph. Choose a good set of scales for the data, make a careful and accurate graph, and analyze the graph to obtain the value of the acceleration, a, from the slope. TABLE 2 t(s) 0.2 0.4 0.6 0.8 1.0 1.2 х (m) 0.03 0.12 0.27 0.51 0.77 1.14 ² (s²)
oul SCUre. (0/0.09 Points] DETAILS PREVIOUS ANSWERS TANAPMATH7 2.2.018. Find an equation of the line that passes through the given points. (Let x be the independent variable and y be the dependent variable.) (-1, -2) and (7, -6) 1 m = - O Show My Work (Optional) ? TANAPMATH7 2.2.008. DETAILS PREVIOUS ANSWERS 0.09/0.09 Points] a P Type here to search hp
Numerical Analysis

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