Consider the data.X;Yi70 40 55 5 10(a) Compute the mean square error using equation s² = MSE =-2862.38 X-2.30212 6 20 14-30.888 X(b) Compute the standard error of the estimate using equation s = ✓MSE1561(c) Compute the estimated standard deviation of b₁ using equationXSSEn - 2(d) Use the t test to test the following hypotheses (α = 0.05):Ho: B₁ = 0Ha: B₁ * 0(Round your answer to two decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value = 1.7374X=SSEn-2'√(x;-x)²Find the value of the test statistic. (Round your answer to three decimal places.)-4X(Round your answer to three decimal places.)(Round your answer to three decimal places.)State your conclusion.● Reject Ho. We conclude that the relationship between x and y is significant.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 issignificant.O Do not 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 tableformat.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 VariationRegressionErrorTotal189Sumof SquaresXXXDegreesof Freedom1562.5XMeanSquare4912.5051 X1562.5X3350.0051 X 418.7506 X3.7313Find the value of the test statistic. (Round your answer to two decimal places.)3.7313XFFind p-value. (Round your answer to three decimal places.)p-value = 0895XState your conclusion.Reject Ho. We conclude that the relationship between x and y is significant.O Reject Ho. We cannot conclude that the relationship between x and y is significant.XDo 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.p-value.0895X

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Consider the data. X; Yi 3 12 6 20 14 70 40 -2.302 SSE (a) Compute the mean square error using equation s² = MSE = n-2 -2862.38 X 55 5 10 (b) Compute the standard error of the estimate using equation s = √ MSE = -30.888 X pb1 (c) Compute the estimated standard deviation of b₁ using equation Sp. (Round your answer to two decimal places.) X = SSE n-2 ν Σ(Χ S . (Round your answer to three decimal places.) - x)² (Round your answer to three decimal places.)

Consider the data. X; Yi 3 12 6 20 14 70 40 -2.302 SSE (a) Compute the mean square error using equation s² = MSE = n-2 -2862.38 X 55 5 10 (b) Compute the standard error of the estimate using equation s = √ MSE = -30.888 X pb1 (c) Compute the estimated standard deviation of b₁ using equation Sp. (Round your answer to two decimal places.) X = SSE n-2 ν Σ(Χ S . (Round your answer to three decimal places.) - x)² (Round your answer to three decimal places.)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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You may need to use the appropriate technology to answer this question. Consider the data. xi 3 12 6 20 14 yi 70 40 55 5 10 (a) Compute the mean square error using equation s2 = MSE = SSE n − 2 . (Round your answer to two decimal places.) (b) Compute the standard error of the estimate using equation s = MSE = SSE n − 2 . (Round your answer to three decimal places.) (c) Compute the estimated standard deviation of b1 using equation sb1 = s Σ(xi − x)2 . (Round your answer to three decimal places.) (d) Use the t test to test the following hypotheses (α = 0.05): H0: β1 = 0 Ha: β1 ≠ 0 Find the value of the test statistic. (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Do not reject H0. We conclude that the relationship between x and y is significant.Do not reject H0. We cannot…
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