You may need to use the appropriate technology to answer this question.Consider the data.4.63X¡2.153Y₁1 20.68134(a) Compute the mean square error using equation s² = MSE =53 7 5 12 14(b) Compute the standard error of the estimate using equation s = √/MSE =SSEn-25b1(c) Compute the estimated standard deviation of b₁ using equation(d) Use the t test test the following hypotheses (a = 0.05):Ho: B₁ = 0H₂B₁ 0(Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value = 0.0286=SSEn-2VELXIFind the value of the test statistic. (Round your answer to three decimal places.)3.967(Round your answer to three decimal places.)(Round your answer to three decimal places.)State your conclusion.O Reject Ho. We cannot conclude that the relationship between x and y is significant.Do not reject H. We cannot conclude that the relationship between x and y is significant.O Do not reject Ho. We conclude that the relationship between x and y is significant. ● Reject Ho. We conclude that the relationship between x and y is significant.(e) Use the F test to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimal places.)Sourceof VariationRegressionErrorTotalSumof Squares72.913.986.81Degreesof Freedom34MeanSquare72.94.6315.73Find the value of the test statistic. (Round your answer to two decimal places.)15.73Find the p-value. (Round your answer to three decimal places.)p-value = 0.029FState your conclusion.O Do not reject Ho. We cannot conclude that the relationship between x and y is significant.● Reject Ho. We conclude that the relationship between x and y is significant.O Reject H₂. We cannot conclude that the relationship between x and y is significant.O Do not reject Ho. We conclude that the relationship between x and y is significant.p-value0.029

You may need to use the appropriate technology to answer this question. Consider the data. 4.63 X; 2.153 Y₁ (a) Compute the mean square error using equation s² = MSE = 1 2 3 4 5 0.681 3 7 5 12 14 (b) Compute the standard error of the estimate using equation s = √/MSE = SSE n-2 (d) Use the t test to test the following hypotheses (a = 0.05): Ho: B₁ = 0 Ha: B₁ = 0 (Round your answer to two decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb. - √ Σ(x;" SSE Find the p-value. (Round your answer to four decimal places.) p-value = 0.0286 n Find the value of the test statistic. (Round your answer to three decimal places.) 3.967 2 (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant.

You may need to use the appropriate technology to answer this question. Consider the data. 4.63 X; 2.153 Y₁ (a) Compute the mean square error using equation s² = MSE = 1 2 3 4 5 0.681 3 7 5 12 14 (b) Compute the standard error of the estimate using equation s = √/MSE = SSE n-2 (d) Use the t test to test the following hypotheses (a = 0.05): Ho: B₁ = 0 Ha: B₁ = 0 (Round your answer to two decimal places.) (c) Compute the estimated standard deviation of b, using equation Sb. - √ Σ(x;" SSE Find the p-value. (Round your answer to four decimal places.) p-value = 0.0286 n Find the value of the test statistic. (Round your answer to three decimal places.) 3.967 2 (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. O Do not reject Ho. We conclude that the relationship between x and y is significant.

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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22. You are given the following value from a t-table as needed: P(t140 > 1.656) = 0.05 Association between student math and verbal scores on the SAT was modeled by a linear regression model using the output given below for sample scores for a graduating class from a high school. Find a 90% prediction interval for the Math score of a graduating student that has a verbal score of 500. Variable Count Mean Verbal 142 596.296 Math 142 612.099 Dependent variable is Math R-square = 46.9% s=71.75 with 142-2=140 df Variable Coefficient SE(Coeff) t-ratio P-value Intercept 209.554 34.35 6.1 <0.0001 Verbal 0.675 0.0568 11.9 <0.0001
Please help me on Part E
3
Please use all the given equations above to answer (e) please show the solution in details. I will rate it. Thanks
None
The following data represent the commute time (in minutes) x and a score on a well-being survey y. The equation of the least-squares regression line is y = - 0.0423x + 69.1961 and the standard error of the estimate is 0.5262. Complete parts (a) through (e) below. 15 25 35 45 60 82 115 D 69.0 68.3 66.8 66.2 66.5 64.2 y 67.4 (a) Predict the mean well-being index composite score of all individuals whose commute time is 30 minutes. y = (Round to two decimal places as needed.) (b) Construct a 90% confidence interval for the mean well-being index composite score of all individuals whose commute time is 30 minutes. Lower Bound (Round to two decimal places as needed.) Upper Bound |(Round to two decimal places as needed.) (c) Predict the well-being index composite score of Jane, whose commute time is 30 minutes. y =(Round to two decimal places as needed.)
Show all answers and how to get those answers.
Suppose we run a simple regression model where n= 10000, and find the following estimates and standard errors. Estimate Std. Error t value Pr(>|t|) Intercept -0.458 0.340 XXXX XXXX 0.033 0.116 XXXX XXXX F Statistic: XXXX on XXXX and XXXX DF, p-value: XXXX What would the p-value of the F test be?
Suppose that n= 195 I.I.d. observations for (Y, X;) yleld the following regression results: v= 32.68 + 67.55Xx, SER= 18.63, R = 0.84 (15.7) (12.5) Another researcher is interested in the same regression, but he makes an error when he enters the data into the regression: He enters each observation twice, so he has 390 observations (with observation 1 entered twice, observation 2 entered twice, and so forth). Which of the following eatimated parameters change result? (Check all that apply) O A. The estimated intercept and slope. O B. The R of the regression. Yc. The standard error of the regrussion (SER). YD. The standard errors of the estimated coefficients. Using the 390 observations, what results will be produced by his regression program? Ý= 32.68 + 67.55X, SER =.R = 0.84 (Round your responses to two decimal places)
a. b. Shown below is a portion of a computer output for a regression analysis relating y (dependent variable) and x (independent variable). ANOVA Regression Residual Total Intercept Variable x df 1 13 14 Coefficients 16.156 -0.903 SS 50.58 55.42 106.00 Standard Error 1.42 0.26 1 Stat Perform a t test and determine whether y and x are related. Use a= .05. Compute the coefficient of determination and fully interpret the meaning. Be specific.