(a) Compute the mean square error using equation s² = MSE = SSE n-2 72.92 (b) Compute the standard error of the estimate using equation s = 8.539 (c) Compute the estimated standard deviation of b₁ using equation ₁ 0.636 (d) Use the t test to test the following hypotheses (a = 0.05): Ho: B₁ = 0 H₂: B₁ = 0 (Round your answer to two decimal places.) MSE = Find the p-value. (Round your answer to four decimal places.) p-value = 0.0145 SSE √n-2 S Σ(x − x) Find the value of the test statistic. (Round your answer to three decimal places.) -5.106 ■ (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Do not reject H. We cannot conclude that the relationship between x and y is significant. Reject H. We conclude that the relationship between x and y is significant. 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.

(a) Compute the mean square error using equation s² = MSE = SSE n-2 72.92 (b) Compute the standard error of the estimate using equation s = 8.539 (c) Compute the estimated standard deviation of b₁ using equation ₁ 0.636 (d) Use the t test to test the following hypotheses (a = 0.05): Ho: B₁ = 0 H₂: B₁ = 0 (Round your answer to two decimal places.) MSE = Find the p-value. (Round your answer to four decimal places.) p-value = 0.0145 SSE √n-2 S Σ(x − x) Find the value of the test statistic. (Round your answer to three decimal places.) -5.106 ■ (Round your answer to three decimal places.) (Round your answer to three decimal places.) State your conclusion. O Do not reject H. We cannot conclude that the relationship between x and y is significant. Reject H. We conclude that the relationship between x and y is significant. 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.

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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Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.
A survey collected data from a random sample of 121 people living in Jade city. The sample average of the distance people travel to reach their workplaces (Y) is 23.28 km and the standard deviation (sy) is 7.48 km. The standard error of the sample average of the distance people travel to reach their workplaces is 68 km. (Round your answer to two decimal places.) Let μy denote the mean of the distance all the people in Jade city travel to reach their workplaces. The p-value of the test Ho: #y #22 km vs. H₁: Hy #22 km is (Round your answer to two decimal places.)
Consider the data. xi 3 12 6 20 14 yi 60 40 65 5 15 (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 (? = 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 = 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…
You may need to use the appropriate technology to answer this question. Consider the data. X; Yi 3 12 60 40 6 20 14 65 5 15 (a) Compute the mean square error using equation s² = MSE = SSE n-2 (b) Compute the standard error of the estimate using equations = ✓MSE (c) Compute the estimated standard deviation of b, using equation 5b₁ (d) Use the t test to test the following hypotheses (α = 0.05): Ho: B₁ = 0 H₂: B₁ * 0 (Round your answer to two decimal places.) = Σ(Χ SSE n-2 S x)² Find the value of the test statistic. (Round your answer to three decimal places.) 8.396 x (Round your answer to three decimal places.) (Round your answer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = 0.0150 State your conclusion. Reject H₁. 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. Reject H. We conclude that the relationship between x and y is…
You may need to use the appropriate technology to answer this question. Consider the data. X; 3.84 Y₁ (a) Compute the mean square error using equation s² = MSE = 1 2 3 places.) 0.619 4 8 6 11 13 X (b) Compute the standard error of the estimate using equation s = √ MSE = places.) 1.958 X (c) Compute the estimated standard deviation of b, using equation Sb₁ X (d) Use the t test to test the following hypotheses (α = 0.05): Ho: ₁ = 0 Ha: B₁ * 0 4 5 Find the p-value. (Round your answer to four decimal places.) p-value = 0.0273 X Error Total Source of Variation Find the value of the test statistic. (Round your answer to three decimal places.) 4.038 X Regression State your conclusion. O Do not reject Ho. We cannot conclude that the relationship between x and y is significant. Sum of Squares 62.5 Reject 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…
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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 (? = 0.05): H0: ?1 = 0 Ha: ?1 ≠ 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. Reject H0. We cannot conclude that the relationship between x and y is significant. Do not reject H0. We cannot conclude that…
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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i)Fix the standard deviation of variance at sigma(0)=1.Sketch the graphs for N(-2,1) „N(0.1) ,N(2,1). ii)Fix the mean at =O.Then sketch the graphs for N(0,1) N(0,2), N(0,3).Interpret the graphs in terms of the distribution of the data about the mean.