Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 30 13 95 47 11 108 25 17 112 51 16 179 41 95 52 20 175 74 7 171 36 13 118 60 14 142 77 17 211 The estimated regression equation for these data is ŷ = -12.88 + 1.96x1 + 4.27x2 Here SST = 15,090.4, SSR = 13,501.7, 8b. 0.2893, and sb2 1.0822. %3D a. Test for a significant relationship among a1, x2, and y. Use a = .05. Compute F-test statistic (to 2 decimals). Use F table. The p-value is - Select your answer - What is your conclusion? - Select your answer - b. Compute the t test statistic for the significance of B1. Use a = .05 (to 2 decimals). Use t table. Thep-value is - Select your answer - ♥ What is your conclusion? B1 - Select your answer - v significant. c. Compute the t test statistic for the significance of B2. Use a = .05 (to 2 decimals). Uset table. The p-value is - Select your answer - What is your conclusion? B2|- Select your answer - ♥ significant.

Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 30 13 95 47 11 108 25 17 112 51 16 179 41 95 52 20 175 74 7 171 36 13 118 60 14 142 77 17 211 The estimated regression equation for these data is ŷ = -12.88 + 1.96x1 + 4.27x2 Here SST = 15,090.4, SSR = 13,501.7, 8b. 0.2893, and sb2 1.0822. %3D a. Test for a significant relationship among a1, x2, and y. Use a = .05. Compute F-test statistic (to 2 decimals). Use F table. The p-value is - Select your answer - What is your conclusion? - Select your answer - b. Compute the t test statistic for the significance of B1. Use a = .05 (to 2 decimals). Use t table. Thep-value is - Select your answer - ♥ What is your conclusion? B1 - Select your answer - v significant. c. Compute the t test statistic for the significance of B2. Use a = .05 (to 2 decimals). Uset table. The p-value is - Select your answer - What is your conclusion? B2|- Select your answer - ♥ significant.

Name: I need help answering this question. Consider the following data for a
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: I need help answering this question. Consider the following data for a dependent variable y and two independent variables, x1 and x2.X230139547111082517112511617941595522017574171361311860141427717211The estimated regression equation for these data i

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

Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −17.85 + 2.00x1 + 4.73x2. Here, SST = 15,091.6, SSR = 13,969.7, sb1 = 0.2462, and sb2 = 0.9447. (a) Test for a significant relationship among x1, x2, and y. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero.H0: ?1 < ?2Ha: ?1 ≥ ?2 H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero.H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0H0: ?1 > ?2Ha: ?1 ≤ ?2 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is insufficient evidence to conclude…
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is ŷ = −17.85 + 2.00x1 + 4.73x2. Here, SST = 15,091.6, SSR = 13,969.7, sb1 = 0.2462, and sb2 = 0.9447. #1) Find the value of the test statistic. (Round your answer to two decimal places.) #2)Find the p-value. (Round your answer to three decimal places.) p-value =
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 210 The estimated regression equation for these data is ŷ = −17.17 + 1.99x1 + 4.71x2. Here, SST = 14,950.9, SSR = 13,830.2, sb1 = 0.2460, and sb2 = 0.9442. (a) Test for a significant relationship among x1, x2, and y.Use ? = 0.05. State the null and alternative hypotheses. -H0: ?1 < ?2Ha: ?1 ≥ ?2 -H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero. -H0: ?1 > ?2Ha: ?1 ≤ ?2 -H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0 -H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) Statistic=?? Find the p-value. (Round your answer to three decimal places.) p-value = ?? State your conclusion. -Reject H0. There is sufficient…
For the following values of SSX, SSY, and SP, the Pearson correlation coefficient (r) is ______ and the slope of the regression line (b) is _______. SSX SSY SP 100 200 90
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 95 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 213 The estimated regression equation for these data is ŷ = −19.20 + 2.02x1 + 4.77x2. Here, SST = 15,378.4, SSR = 14,250.7, sb1 = 0.2468, and sb2 = 0.9472. (a) Test for a significant relationship among x1, x2, and y. Use ? = 0.05. State the null and alternative hypotheses. H0: ?1 = ?2 = 0Ha: One or more of the parameters is not equal to zero.H0: ?1 < ?2Ha: ?1 ≥ ?2 H0: ?1 > ?2Ha: ?1 ≤ ?2H0: ?1 ≠ 0 and ?2 ≠ 0Ha: One or more of the parameters is equal to zero.H0: ?1 ≠ 0 and ?2 = 0Ha: ?1 = 0 and ?2 ≠ 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. There is sufficient evidence to conclude that…
The following sample of observations was randomly selected. x 5 3 6 3 4 4 6 8 y 13 15 7 12 13 11 9 5 a. Determine the regression equation.b. Determine the value of ŷ when x is 7
Consider the following data for a dependent variable y and two independent variables, x1 and x2. x1 x2 y 30 12 94 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 (a) Develop an estimated regression equation relating y to x1. (Round your numerical values to one decimal place.) ŷ = −18.4+2+4.74x2 Predict y if x1 = 76. (Round your answer to one decimal place.) (b) Develop an estimated regression equation relating y to x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x2 = 16. (Round your answer to one decimal place.) (c) Develop an estimated regression equation relating y to x1 and x2. (Round your numerical values to one decimal place.) ŷ = Predict y if x1 = 76 and x2 = 16. (Round your answer to one decimal place.)
The following estimated regression equation is based on 10 observations yhat = 30.12 + .60x1 + .48x2 SST = 680.3, SSR= 601.4, Sb1 = .0813 and Sb2 = .0567 a. Compute MSR and MSE b. Compute F and perform the appropriate F test. Use alpha = .05. c. Perform a t test for the significance of B1. Use alpha = .05. d. Perform a t test for the significance of B2. Use alpha = .05.
Consider the following sample regressions for the linear and quadratic models along with their respective R2 and adjusted R2. Linear Quadratic Intercept 13.3087 1.7656 x 0.3392 4.0966 x2 NA -0.2528 R2 0.1317 0.5844 Adjusted R2 0.0232 0.4657 Choose the model with the best fit, and then predict y for x = 4, 8, and 12. ROUND TO TWO DECIMAL PLACES. x Predicted y 4 8 12
The following estimated regression equation relating sales to inventory investment and advertising expenditures was given. ŷ = 28 + 15x1 + 9x2 The data used to develop the model came from a survey of 10 stores; for those data, SST = 18,000 and SSR = 13,140. 1. Compute R2 2. Compute Ra2 3. The adjusted coefficient of determination shows that ____ % of the variability has been explained by the two independent variables.
4.For a sample of 12 observations, a businessman wants to regress the price (in dollar) of the laptop (Y) on the processor's speed (X). The summary results of the observations are given below. Σx = 19.8 , Σy = 24798, Σxy = 431882 Σx^2 = 33.88, Σγ^2 = 57365692 (b)Find the fitted regression line of the price of laptop on processor speed. (c) Find the predicted price of the laptop (y) for the processor speed x-1.9. (d) Compute the coefficient of determination and comment.
Consider the following regression equation specied for 2-period panel data: where i = 1; 2; :::N and t = 1; 2. If you expect that β_1 is positive, but the correlation between Δx_i and Δu_i is negative, thenwhat is the bias in the OLS estimator of β_1 in the first-differenced equation?