Given the following data:1534.821096.81 11586Obtain the two regression equations and calculate Standard Error of Estimate (SE).

Given data is x 5 3 7 4 8 2 10 6 8 7 9 15 y 8 6 8 5 9 6 8 5 11 7 8 15

Answered: Given the following data: 3 4. 8 2. 10…

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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Given are five observations for two variables, and y. The estimated regression equation for these data is = 75.74-2.92x. a. Compute SSE, SST, and SSR. Yi The least squares line provided an - Select your answer decimal). fit; 4 SSE (to 2 decimals) SST (to 2 decimals) SSR (to 2 decimals) b. Compute the coefficient of determination ². Comment on the goodness of fit. (to 3 decimals) 00 15 18 20 57 57 46 17 12 Check My Work (2 remaining) % of the variability in y has been explained by the estimated regression equation (to 1 c. Compute the sample correlation coefficient. Enter negative value as negative number. (to 3 decimals)
A cafe company wants to determine how the money they spend on Google ads impacts their monthly revenue. Over 6 consecutive months, they vary the amount they spend on their Ads (in $) and record the associated revenue (in $) for each month. The data is shown below: l Revenue 50 427 75 472 100 467 125 529 150 518 175 543 A) Using a 0.05 level of significance, does this regression equation appear to have any value for predicting revenue based on Ads? a. Yes because there is a significant linear relationship between the two quantities. b. No because there is not a significant linear relationship between the two quantities. c. Yes because there is not a significant linear relationship between the two quantities. d. No because there is a significant linear relationship between the two quantities.
Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. 5.8 4.1 6.5 4.6 6.6 5.8 5.2 2.0 4.9 1.0 4.1 1.2 1.9 2.9 x y Send data to Excel Regression line equation: y
3. Given are five observations collected in a regression study on two variables. Xi 13 269 20 Yi 7 18 9 18 9 26 23 a. Develop a scatter diagram for these data. b. Develop the estimated regression equation for these data. C. Use the estimated regression equation to predict the value of y when x = 6.
An automobile dealer wants to estimate monthly sales based on the interest rate. A random sample of 4 months was taken. The results of the sample are presented below: X= Interest Rate (%) Y=Monthly sales ($1000s) 9.2 22 7.6 20 10.4 10 5.3 45 Find the estimated regression equation to predict monthly sales based on the interest rate by computing the values of b0 and b Predict the monthly sales of one month with 10% interest rate. Give answer in dollars. Would the sales ever reach zero? If yes, at what interest rate would the sales be zero?
Compute the least-squares regression equation for the given data set. Use a Ti-84 caloulator. Round the slope and at least four decimal places. 4 6 12 -9 -3 5 -11 3. 31 36 3 -2 -14 Send data to Excel Regression line equation: y =I
A14. Given the following data : 6. 10 4. 8. Y 6. 11 8. sup3 noia7 Find the two regression equations and calculate the standard error of the estimate (Syx and Sxy). rds.X.
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. I 11.5 8.2 6.8 3.4 13.6 11.3 9.7 6.8 6.4 2.7 2.9 2.2 0.6 6 6.1 4.6 Y = thousands of automatic weapons y = murders per 100,000 residents Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) A) How many murders per 100,000 residents can be expected in a state with 9.4 thousand automatic weapons? Answer Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 3 thousand automatic weapons? Answer= Round to 3 decimal places. Hint: Textbook Pages C Help -
Q.1/ Use linear regression to fit the following experimental data. 图 2 3 4 5 7 10 y 5.2 7.8 10.7 13 19.3 26.5
18. Give the following data, which is the equation of the regression line? 3 4 12 Y 8. 6. 9. 12 C. y = 4.98 + 0.725 d. y = 4,88 + 0.525 a. y = 4.88+ 0.625x %3D b. y = 4.98 +0.425x 19. Which of the following gives the best fit of the line for a given data? a. y = 2+ 6.5x, r = 0.65 b. y = 6.05 + 0.825x, r = 0.64 c. y = -1.10 + 9x, r = -0.72 d. y = 100 + 75x, r = 0.50
Given the following information determine the linear regression model Sxx = 1106.56 Sxy=-41,112.65 Bo=2627.82 a. Y= 2627.82- 37.154 X Ob. Y= 2627.82+ 37.154 X c. Y=-2627.82+ 37.154 X d. Y=-2627.82- 37.154 X

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Given the following data: 3 4. 8 2. 10 15 8 9. 6. 11 15 Obtain the two regression equations and calculate Standard Error of Estimate (SE).