Given the bivariate data:3 56.8 5 4 2 (b) Find n, Σx, Σy , Σχ?, (Σx)?, and Σxy%3DΣχ%3DEy%DEx2%3D(Ex)2Exy(c) Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. (Round your answers to two decimal places.)a 3=b =(e) Is the point (x, y) on the least-squares Iline?O YesO No(f) Use the equation of the least-squares line to predict the value of y when x= 2.5. (Round your answer to two decimal places.)(9) Find, to the nearest hundredth, the linear correlation coefficient.

As per our guidelines we can solve first three subpart and rest can be reposted. Solution-: Given…

Answered: (b) Find n, Ex, Ey, Ex2, (Ex)², and…

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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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
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: ŷ = 1 – 2xwhere 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 increases by 2. O When amount of schooling increases by one year, the number of pregnancies decreases by 1. O When amount of schooling increases by one year, the number of pregnancies increases by 1. O When amount of schooling increases by one year, the number of pregnancies decreases by 2. Check Answer
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…
2. The Mach number of a moving object is the ratio of its speedto the speed of sound. The following table shows the speeds of a jet aircraft, in terms of Mach numbers, and the time tafter it starts to accelerate. Find the least- squares line of s as a function of t. t(min) 0.00 s(Mach Number) 0.88 0.60 0.97 1.20 1.03 1.80 1.11 2.40 1.19 3.00 1.25
kindly asnwer it 5.5.1(a)
The final question in the examples is (e) 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 three decimal places. Round your answers for the percentages to one decimal place.) r2 = explained % unexplained % (f) Predict the percentage of all fatal accidents due to speeding for 25-year-olds. (Round your answer to two decimal places.)
You ask a small sample of 6 students what percentage score they obtained in a recent exam and how many hours they spent preparing for the exam. The data you obtained is summarised in the table below. Time spent studying (hours) 12 9 23 Answer: 7 13 11 Exam score (out of 100) 70 56 91 60 52 58 You fit a least squares line to the data which can be used to predict exam scores from the time spent studying. You find that the intercept of the line is equal to 37.691, and the slope is 2.145. Calculate the t-statistic used to the test the null hypothesis that the true population slope is zero. (Round the result to three decimal places.)
Please answer both subparts with explanation . Without using Excel. I will really upvote. Thanks
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. 4 y 48 42 33 26 A USE SALT Complete parts (a) through (e), given Ex = 15, Ey = 149, Ex² = 77, Ey² = 5833, Exy = 489, and r= -0.9106. (a) Draw a scatter diagram displaying the data. 55 Graph Layers After you add an object to the graph you 50 can use Graph Layers to view and edit its properties. Fill 45 40 35 No Solution 30 25 20 O Help WebAssign. Graphing Tool ( b) Verify the given sums Σχ, Σγ, Σχ, Σy, Σχy, and the value of the sample correlation coefficient r. (Round your value forr to four decimal places.) Σχ Ey = Ex? = Ey? = Exy = r =
It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 1 2 5 6 y 48 41 33 26 Find the equation of the least-squares line = a + bx. (Round your answers to four decimal places.) = + x

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(b) Find n, Ex, Ey, Ex2, (Ex)², and Exy. Ex %D Ey Ex2 (Ex)2 Exy (c) Find a, the slope of the least-squares line, and b, the y-intercept of the least-squares line. (Round your answers to two decimal places.) (e) Is the point (x, y) on the least-squares line? O Yes O No