Use the method of least squares to obtain a straight line which best fits these data points.a) Fill out the table belowI7yxyIΣr² =Σry =Σε ΞΣy =b) Use the provided formulas to find a formula for the regression line (also called the line of bestfit).Ν(Σxy) - (Στ) (ΣΜ)A =N (Cr²)-(C1)²2B =(Σy) - Α(Σ)N

Step 1: Defining the problem.The least squares method is the process of finding a regression line…

Answered: Use the method of least squares to…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

Consider the data given in the table: -1 1 1 3 Find the least square approximation function in the form y = Ax + Bx3 .
7) The accompanying data show the number of bacteria present after a certain number of hours. Find the equation of the regression line for the data. Then construct a scatter plot of (x,y) and sketch the regression line with i Number of hours, x Number of bacteria, y1 1672 2783 4684 7835 13146 19277 4910 The equation of the regression line is y=x+ (Round to two decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Choose the correct graph below.
Q#2: (a) Calculate the estimated multiple linear regression equation for the following data using the multiplication in deviation form ΣΥ- 89, ΣΧ30 ΣΧ52 ΣX 238, EX = 582 £X¡Y = 619, EX1X2 %3| %3D 351, EX2Y = 1007,n = 5 %3D
It is required to use the data given in the table to estimate the parameters of the multiple linear regression equation by any of the estimation methods:
Use the following equations to find the least square regression quadratic for the given points. Use the regression capabilities of a graphing utility to verify your results. Σ +b + C |= 1 i = 1 in 3 + b' 2 + a |= 1 i = 1 i = 1 n n a + cn = X; i = 1 i = 1 i = 1 (0, 10), (1, 9), (2, 6), (3, 0) y =
assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of NE: On average, a plant constructed in northeast region of USA costs _____ than a plant constructed in other regions, while keeping other variables constant A) 100 dollars more B) 100 millions of dollars more C) 100 millions of dollars less D) 100 dollars less
Q2. Given the data : X y 1 1 2 1.5 3 2 4 3 5 4 6 5 a) Use least-square regression to fit a straight line, then find y(4.5). b) Use polynomial regression to fit a parabola to the data, then find P (4.5) 7 8 8 10
All three subparts are necessary.Solve within 30 minutes.
1. Consider two least-squares regressions and y = Xíễ tế y = Xí$i+ XzB2 tê Let R2 and R2 be the R-squared from the two regressions. Show that R22 R2.
Solve part c and d. Thank you.
Q13) assume the final regression equation from the stepwise regression analysis of the dependent variable cost (C) and the 10 potential independent variables is as follows: C = -5000 + 75 D + 0.4 S - 130 PT + 100 NE Given that the final model is valid, interpret the coefficient of S: On average, with each additional MWe of net capacity, the construction cost _____ while keeping other variables constant. A) decreases by $0.4 B) increases by $400,000 C) increases by $0.4 D) decreases by $400,000
Compute the least-squares regression equation for the given data set. Round the slope and y-intercept to at least four decimal places. x 10 6 8 14 −7 −1 7 −9 y 3 1 30 31 0 3 −3 −15 Regression line equation: y=

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