You may need to use the appropriate technology to answer this question.Consider the data.X;3.84Y₁(a) Compute the mean square error using equation s² = MSE =1 2 3places.)0.6194 8 6 11 13X(b) Compute the standard error of the estimate using equation s = √ MSE =places.)1.958X(c) Compute the estimated standard deviation of b, using equation Sb₁X(d) Use the t test to test the following hypotheses (α = 0.05):Ho: ₁ = 0Ha: B₁ * 04 5Find the p-value. (Round your answer to four decimal places.)p-value = 0.0273 XErrorTotalSourceof VariationFind the value of the test statistic. (Round your answer to three decimal places.)4.038XRegressionState your conclusion.O Do not reject Ho. We cannot conclude that the relationship between x and y issignificant.Sumof Squares62.5Reject Ho. We conclude that the relationship between x and y is significant.Do not 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.11.5(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 variancetable format.74SSEn - 2Set up the ANOVA table. (Round your values for MSE and F to two decimal places, and your p-value to three decimalplaces.)XXXDegreesof Freedom13(Round your answer to two decimal places.)4=MeanSquare62.5SSEn-23.83SΣ(x; – x)²Find the p-value. (Round your answer to three decimal places.)p-value = 0.027XXX 16.3(Round your answer to three decimalFind the value of the test statistic. (Round your answer to two decimal places.)(Round your answer to three decimalFXState your conclusion.O Do not reject Ho. We conclude that the relationship between x and y is significant.Reject Ho. We conclude that thebetween x and y is significant.p-value0.027O 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.X

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Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Consider the variable X whose mean and variance are given respectively by Mx = 27.2 and Var (X) =8. Next consider the variable Y such that Y = 18 X-21 What is the variance of variable Y?
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is.x₁ = 1.15 and S₁ = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and s2 = 0.09. Note that an increase in film speed would lower the value of the observation in microjoules per square inch. Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. The appropriate decision for the test is to reject the null hypothesis True False
A simple linear regression of Y on X reveals that for n=30 observations, r²=0.80, the standard deviation of X is 3. The regression sum of squares is 1400. What is the value of the standard deviation of Y? What is the value of slope b? Show steps.
Calculate the variance of the set of data to two decimal places. Refer to the previous problem. Use σx to three decimal places if you use a calculator.
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is = 1.15 and 81 = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and 82 = 0.09. Note that an increase in film speed vould lower the value of the observation in microjoules per square inch. (a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765). The data the claim that reducing the film…
A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is = 1.13 and 81 = 0.11, while for the 20-mil film, the data yield = 1.08 and 82 = 0.09. Note that an increase in film speed wwould lovwer the value of the observation in microjoules per square inch. (a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765). The data v the claim that reducing the…
If the SST=746, the SSE=516, n=472 and the model of interest is y = Bo + B₁x₁ + B₂x12 + B3x3 + B4x4 + B5x5 + u, calculate the root mean squared error. Round to two decimal places.
A particular blood donation clinic accepted well over on hundred donors on Saturday. The length of time (in minutes) needed to draw a full donation of blood was recorded for 36 donors that day.. It was calculated that (x-x)2 = 84.72. What is the variance of the time it took the 36 donors to give blood that day? Round your answer to two decimal places.

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