The following data were collected in an experiment to study the relationship between thespeed of a cutting tool in m/s (x) and the lifetime of the tool in hours (y).1 1.5 2 2.5 3х99 96 88 76 66yThe least-squares quadratic model is y = 101.4000 + 3.371429x – 5.142857x².Using this equation, compute the residuals.Compute the error sum of squares SSE and the total sum of squares SST.a.b.Compute the error variance estimate s?.Compute the coefficient of determination R?.Compute the value of the F statistic for the hypothesis Ho : ß1 = B2 = 0. How manyC.d.e.degrees of freedom does this statistic have?f.Can the hypothesis Ho : B1 = B2 = 0 be rejected at the 5% level? Explain.

Answered: Image /qna-images/answer/12760bf7-a2c4-4fd8-a5d2-81c7a384757b.jpg

Answered: The following data were collected in an…

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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Q12 a) Construct a regression model to determine the relationship between individual yearly income and the value of the car owned. b) Using the regression equation from (a) determine the value of the car if the yearly income is $40,000 c) Describe the relationship between yearly income and value of the car owned d) Identify the independent variable and dependent variable based on the regression model constructed in (a) e) Explain why it is incorrect to predict the value of the car if an individual income is $10,000
The following table shows the length, in centimeters, of the humerus and the total wingspan, in centimeters, of several pterosaurs, which are extinct flying reptiles. (A graphing calculator is recommended.) (a) Find the equation of the least-squares regression line for the data. (Where × is the independent variable.) Round constants to the nearest hundredth. y= ? (b) Use the equation from part (a) to determine, to the nearest centimeter, the projected wingspan of a pterosaur if its humerus is 52 centimeters. ? cm
Create a quadratic model for the data shown in the table 1 -1 X -1 -1 y Oy=0.85r² +0.11 - 1.78 y = 0.98x² -0.74 - 0.82 y = 0.112²1.78x +.9998 X y = -0.85x² -0.11x +1.78 2 2 5 20
The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Constant Weight S = 0.517508 Coef 0.8462 0.39512 R-Sq 97.0% (a) Write out the least-squares equation. ŷ = = 0.8462 + 0.39512 X SE Coef 0.4148 0.02978 T 2.06 13.52 P (c) What is the value of the correlation coefficient r? (Use 3 decimal places.) X 0.84 0.000 (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.) 0.39512
Experimenters wants to assess the association between X and Y, the scatter plot of X and Y showed a quadratic pattern. After applying the appropriate regression model, experimenters want to produce a prediciton interval for X = 20. Using StatCrunch with 95% confiendence, the result interval is 223 to 267. Provide the most appropriate interpretation of this interval.
When a stone is dropped in a pond, ripples are formed and travel in concentric circles away from where the stone was dropped. The equation of the least-squares regression line is log(Area) = 0.490 + 2.004 log(Time). WWhat is the predicted area of the circle, in cm2, 4 seconds after the stone is dropped? O 49.72 cm2 O 199.43 cm2 O 311.89 cm? O 1854.10 cm2
The least-squares line for predicting forearm length (y) from height (x) is y = -0.2967 + 0.2738x How tall must a man be so that we would predict his forearm length to be 19.4 in.? a. 69.77 b. 70.85 c. 65.39 d. 71.94 e. 73.15
The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students Age Gender Weight 83 78 55 48 62 We wish to fit a linear function of the form Height 181 176 164 156 169 C₁= C₂= 9= 58228 21 to these data. Find the best approximation of this form, using least squares. Co- 20 20 1 1 0 0 0 f(t)=co+ch+c₂a +cag

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