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
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Please use all the given equations above to answer (e) please show the solution in details. I will rate it. Thanks
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After you estimate a simple linear regression you obtain the following sample regression function: Y₁ = 8.8 +0.7091 Xį With an r² of 0.784. The observed dependent variable used for the regression is: Y 9 675 40 40 40 6 5 5 5 5 1 1 Compute the sample variance of X? 8.45 10.79 9.17 7.19 Cannot be computed with the provided information.
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You run a regression analysis on a bivariate set of data (n=15). You obtain the regression equationy=2.339x+22.015 with a correlation coefficient of r=0.886 (which is significant at α=0.01). You want to predict what value (on average) for the explanatory variable will give you a value of 150 on the response variable.What is the predicted explanatory value?x = (Report answer accurate to one decimal place.)
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