Answered: x 5.50 6.50 7.50 7.75 8.75 y 15…

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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. Find the equation for the least-squares line for the following table: x 6 20 0 14 25 16 28 18 10 18 y 15 31 10 16 28 20 40 25 12 15 Also calculate the coe cient of determination
Consider the data set t = [-1 3 4 6] and x=[2, -14, -20, -31]. Show the details of your solution in the file. 1. Find the coefficient 'm' in the restricted equation x = m t of the least squares fit parabola. m = 2. Find the minimized squared error. E? = Round your answers to 3 significant figures.
A psychologist wants to determine whether there is a relationship between how long it takes a subject to complete a manual task and the number of hours of sleep the subject had the night before. The results from the study of 10 people are given in the following table. Find the equation of the least-squares line for these data.
In the least-squares line = 5 – 9x, what is the value of the slope?When x changes by 1 unit, by how much does y change? When x increases by 1 unit, y decreases by 9 units. When x decreases by 1 unit, y decreases by 9 units. When x increases by 1 unit, y decreases by −9 units. When x increases by 1 unit, y increases by 9 units.
The cost of a leading liquid laundry detergent in different sizes is given below. Size (ounces) Cost ($) 16 3.59 32 4.39 64 5.19 200 10.19 Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. (Round your answers to three decimal places.)ŷ = + x
Use least squares regression to fit a line to the table data below.
Consider the data points (2, 1), (0, –4) and (−2,−3). Given that the least squares line of best fit is y = x − 2 ,which one of the following is the least squares error? √38 +√6 √6
A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is: i = 2 – 5z where x is the number of years of schooling completed and y is the number of pregnancies. The slope of the regression line can be interpreted in the following way: O When amount of schooling increases by one year, the number of pregnancies tends to decrease by 5. O When amount of schooling increases by one year, the number of pregnancies tends to increase by 5. O When amount of schooling increases by one year, the number of pregnancies tends to decrease by ns 2. O When amount of schooling increases by one year, the number of pregnancies tends to increase by 2. urse Submit Question math.com/assess2/3/skip/10 here to search R
We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef T P Constant 315.27 28.31 11.24 0.002 Elevation -31.812 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.8% Notice that "Elevation" is listed under "Predictor." This means that elevation is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation ŷ = a + bx. (a) Use the printout to write the least-squares equation. ŷ = + x (b) For each 1000-foot increase in elevation,…
We use the form ŷ = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from a report showed the following relationship between elevation (in thousands of feet) and average number of frost-free days per year in a state. A Minitab printout provides the following information. Predictor Coef SE Coef T P Constant 316.62 28.31 11.24 0.002 Elevation -30.516 3.511 -8.79 0.003 S = 11.8603 R-Sq = 96.2% The printout gives the value of the coefficient of determination r2. What is the value of r? Be sure to give the correct sign for r based on the sign of b. (Round your answer to four decimal places.) What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares…
In the least-squares line ŷ = 5 − 4x, what is the value of the slope?
Test the following data table to see whether the data are quadratic. x 0 4 16 32 44 y 4 12 16 12 20 Calculate the first-order and second-order differences.

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x 5.50 6.50 7.50 7.75 8.75 y 15 32 55 39 72 a) Find a for the equation of the least-squares line y = ax+b: choose one: –75.923 42.698 –42.068 –42.698 75.923