Given the following quantities for a simple linear regression model results from asample of size n-8 observations:Σx- 47.7,Σy - 315, Σxλ -304.59, Σy? 135270, Σxy - 1735.3%3Da) Use the above information to calculate SS, SSyy, and SS-yy:b) Use the quantities in a) above to calculate Bc) Calculate SSE and use it to calculate the estimated standard error of B1, S.d) Test Ho: BO against H:B, 0 at a = 0.05 level of significance.

The values of the sum of square, SSxy, SSyy, SSxx are determined using the formula, SSxy=∑xy-∑x∑yn,…

Given the following quantities for a simple linear regression model results from a sample of sizen-8 observations: Σx-47.7,Σy = 315, Σ x ? 304.59, Σν2- 13527.0, Σxy = 1735.3 %3D %3D %3D a) Use the above information to calculate SSxy, SSyy, and SSxx- b) Use the quantities in a) above to calculate B, c) Calculate SSE and use it to calculate the estimated standard error of B1, s. d) Test Ho: B1 = 0 O against Ha:B, # 0 at a = 0.05 level of significance. %3D %3D

Given the following quantities for a simple linear regression model results from a sample of sizen-8 observations: Σx-47.7,Σy = 315, Σ x ? 304.59, Σν2- 13527.0, Σxy = 1735.3 %3D %3D %3D a) Use the above information to calculate SSxy, SSyy, and SSxx- b) Use the quantities in a) above to calculate B, c) Calculate SSE and use it to calculate the estimated standard error of B1, s. d) Test Ho: B1 = 0 O against Ha:B, # 0 at a = 0.05 level of significance. %3D %3D

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a regression model involving 30 observations, the following estimated regression equation was obtained.ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5For this model, SSR = 1,740 and SST = 2,000.The degrees of freedom associated with SSE are _____. a. 6 b. 5 c. 24 d. 19
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
The following estimated regression equation based on 10 observations was presented. 9 , 3D27.1270 + 0.5906x, + 0.3980x 3D170and 3D330. (a) Develop a point estimate of the mean value of y when x, (b) Develop a point estimate for an individual value of y when x, = 170 and x, = 330. X1
Compare the linear regression data for two students walking in front of a motion sensor: Bob’s walk d = 0.75t + 2 r = 0.70 Tracey’s walk d = 0.75t + 2 r = 0.95 a) How are the movements of these walkers similar? different? b) Sketch possible distance versus time graphs for Bob and Tracey.
We are given the following training examples: (1.2, 3.2), (2.8, 8.5), (2,4.7), (0.9, 2.9), (5.1, 11) We want to apply a 3-nearest neighbor rule in order to perform regression. (a) : Predict the label (real value) at each of the following two points: 1 = 1.5 and x2 = 4.5. time we want to perform distance-weighted nearest neighbor regression. What values do we predict now for x1 = 1.5 and x2 = 4.5? (b). Instead of weighing the contribution of each of the 3 nearest neighbors equally, this
A researcher conducted a number of descriptive statistics for two variables X and Y. They were as follows: SP = 15; SSx = 3; My = 7; Mx = 3 What is b equal to (Please include the sign: e.g., -20)? What is a equal to (please include the sign: e.g., +4.0)? Using b and a construct a regression equation, and then using the regression equation, calculate the value of predicted Y when X = 2?
Data from 147 colleges from 1995 to 2005 (Lee,2008) were tested to predict the endowments (in billions) to a college from the average SAT score of students attending the college. The resulting regression equation was Y = -20.46 + 4.06 (X). This regression indicates that: a. for every one-point increase in SAT scores, a college can expect 4.06 billion more in endowments. b. most colleges have very high endowments. c. for every one-point increase in SAT scores, a college can expect 20.46 billion fewer in endowments. d. for every one-dollar increase in endowments, the college can expect a half-point increase in SAT scores.
A study examined the eating habits of 20 children at a nursery school. The variables measured for each child included: calories (the number of calories eaten at lunch), time (the time in minutes spent eating lunch), and sex (male=1, female=0). A multiple linear regression model using Y = calories, X1 = time, and X2 = sex led to the following model: y=547.65-2.85x1+10.67x2 For two children who spend the same amount of time eating, one male and one female, which child is predicted to consume more calories and by how much?
7. Find slop of a linear regression model for the following data: x = [1, 2, 3, 4, 5, 6, 7] z = [ 1.40, 3.78, 4.41, 4.60, 8.40, 8.64, 12.81]. -1.7 -0.5 0.5 O 1.7 CS Scanned with CamScannel
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 7 19 7 27 21 (a) Develop a scatter diagram for these data. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right starting in the upper left corner of the diagram. Moving from left to right, the first 3 points appear to be plotted in an upward diagonal, direction while the next 2 points are much lower on the diagram. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 0 to 25 and is labeled: x. The vertical axis ranges from 0 to 30 and is labeled: y. The points are plotted from left to right in a downward, diagonal direction starting in the upper left corner of the diagram. The points are between 7 to 27 on the vertical axis and are fairly spread out. A scatter diagram has 5 points plotted on…
The following data on x maternal age in years of the young birth mothers and y = weight of baby born in grams summarizes the result of a study. Assume that a simple linear regression model y = Bo + B1x + e is an appropriate model for the study. x-bar = 17 (avg of x's) y-bar = 3004.1 (avg of y's) SSx = 20 SSxy %3D 4903 SSw 1539182.9 n 10 Calculate the value of s-(standard error of regression) and enter the answer to the nearest tenth (1 decimal place).
Given are five observations collected in a regression study on two variables. xi 2 6 9 13 20 yi 9 18 8 25 21 (b) Develop the estimated regression equation for these data. ŷ = (c) Use the estimated regression equation to predict the value of y when x = 13.