Given are five observations for two variables, x and y.171015205156401714YiThe estimated regression equation for these data is ŷ = 60.90 – 2.39x.a. Compute SSE, SST, and SSR.SSE(to 2 decimals)SST(to 2 decimals)SSR.(to 2 decimals)b. Compute the coefficient of determination r2. Comment on the goodness of fit.(to 3 decimals)The least squares line provided an- Select your answer -+) fit;% of the variability in y has been explained by the estimated regression equation (to 1 decimal).c. Compute the sample correlation coefficient. Enter negative value as negative number.(to 3 decimals)

Solution:- Given the estimated regression equation is, Y^=60.90-2.39*X We have following table: X…

Answered: Given are five observations for two…

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 table shows the average weekly wages (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y = 1.405x – 12.307. Complete parts (a) and (b) below. Average Weekly Wages (state), x Average Weekly Wages (federal), y 751 760 791 817 835 881 924 951 1002 1047 1115 1149 1195 1250 1269 1300 (a) Find the coefficient of determination and interpret the result. 12 =O
2
Given are five observations for two variables, x and y. xi 5 9 13 17 20 yi 50 54 46 23 11 The estimated regression equation for these data is ŷ=0.6+2.6x a. Compute SSE, SST, and SST (to 2 decimals) and show work. SSE=________ SST=_________ SSR=_________ b.Compute the coefficient of determination r^2. Comment on the goodness of fit. The least squares line provided a good fit; ________% of the variability in y has been explained by the estimated regression equation (to 3 decimal). Show work. c. Compute the sample correlation coefficient. Enter negative value as negative number. Show work. ___________________
Listed below is the multiple regression equation for predicting Y by X₁ through Xs. Y is the number of sales per month. X₁ is the number of sales calls made X2 is the number of hours on the showroom floor X3 is the amount spent on radio ads X is the number of text messages sent Xs is the number of email messages sent Regression Statistics R Square 0.634 Standard Error 7.6796 Observations 45 Intercept X₁ X₂ X3 XA Xs Coefficients Standard Error 6.8163 0.1005 -0.3207 0.2084 0.1221 0.0943 77.1211 1.9439 -11.123 0.1144 11.34 1.23 What is the computed value of the F statistic you would use to test the significance of the entire model? Round your answer to two decimal places.
An instructor asked a random sample of eight students to record their study times at the beginning of a course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. The table is given below. Complete parts (a) through (f). x 10 13 10 18 6 15 16 21 y 93 79 81 74 85 81 85 80 a. Find the regression equation for the data points. b. Graph the regresson equation c. Describe the apparent relationship between the two variables. d. Identify the predictor and response variables. e. Identify outliers and potential influential observations. f.Predict the score for a student that studies for 17 hours.
Which of the following is not one of the uses of a scatter plot and regression line a. to estimate the average y at a specific value of x. b. All three are uses of the scatterplot and regression line c. to determine if a change in x causes a change in y d. to predict y at a specific value of x.
eBook Given are five observations for two variables, z and y. 15 13 17 19 51 58 50 23 16 The estimated regression equation for these data is y= 62.15 - 2.05z. a. Compute SSE, SST, and SSR. %3D SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimais) b. Compute the coefficient of determination r, Comment on the goodness of fit. (to 3 decimals) The least squares line provided an Select your answer it; % of the variability in y has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals) 0 Jcon Key 4 Question 2 of
5. For the following set of data: Y 1 10 5 4 4 13 a. Find the regression equation for predicting Y from X. b. Does the regression equation account for a significant portion of the variance in the Y scores? Use a = .05 to evaluate the F-ratio %3D X27 33
Given are five observations for two variables, z and y. z 3 9 10 18 20 | 53 55 50 14 16 The estimated regression equation for these data is y 70.38 – 2.73z. a. Compute SSE, SST, and SSR. SSE (to 2 decimals) 230 (to 2 decimals) (to 2 decimals) b. Compute the coefficient of determination. Comment on the goodness of fit. SST SSR (to 3 decimals) The least squares line provided an pood explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number. % of the variability in y has been (to 3 decimals)
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 662 pounds? Use a significance level of 0.05. Chest size (Inches) 46 57 53 41 40 40 Weight (Pounds) 384 580 542 358 306 320
Given are five observations for two variables, a and y. 15 17 20 51 53 43 17 12 Use the estimated regression equation: ŷ = 62.5684 – 2.2807x. 5.
Given are five observations for two variables, x and y.xi 1 2 3 4 5yi 4 5 5 10 14 Which of the following scatter diagrams accurately represents the data?a. b. c. a. Develop the estimated regression equation by computing the slope and the y intercept of the estimated regression line (to 1 decimal).ŷ = + xb. Use the estimated regression equation to predict the value of y when x = 4 (to 1 decimal).ŷ =

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