Given are five observations for two variables, and y.The estimated regression equation is ŷ = 0.2 +2.6xa. Compute the mean square error using the following equation (to 3 decimals).X₂Yid. Use the t test to test the following hypotheses (α = 0.05 ):Ho B₁0Ha B₁ 0Compute the value of the t test statistic (to 2 decimals).13b. Compute the standard error of the estimate using the following equation (to 3 decimals).c. Compute the estimated standard deviation by using the following equation (to 3 decimals).2735411514

The estimated regression equation is .

Answered: Given are five observations for two…

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.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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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.
For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracy
Given are five observations for two variables, x and y. 2 8 10 17 20 Yi 54 51 45 14 13 Use the estimated regression equation: ŷ = 65.8697 – 2.6728x. %3| a. Compute the mean square error using equation. SSE s2 = MSE п — (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE VMSE S = n 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. (xi - (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Но: Ві Ha: B1 + 0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - What is your conclusion? We - Select your answer - * Ho.
The regression equation is computed for a set of n = 18 pairs of X and Y values with a correlation of r = 0.50 and SSy = 48. Find the standard error of estimate for the regression equation. The standard error of estimate = How big would the standard error be if the sample size were n = 66? The standard error of estimate =
Given are five observations for two variables, x and y. 4 14 18 20 59 58 41 17 12 Use the estimated regression equation: ŷ = 74.9173 – 3.0256x. a. Compute the mean square error using equation. SSE g2 = MSE = n - 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE 8 = VMSE = п - 2 (to 4 decimals) c. Compute the estimated standard deviation of bị using equation. Sb, = (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.05): Но: В, — 0 H: B1 +0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) What is the p-value? Use Table 2 from Appendix B. p-value is - Select your answer - - Select your answer what is yd between 0.01 and 0.02 between 0.02 and 0.05 We - Sele between 0.05 and 0.10 between 0.10 and 0.20 e. Use the between 0.20 and 0.40 greater than 0.40 ses in part (d) at a 0.05 level of significance. lower than 0.01 Complete tetauie Derow usmg xtel. Calculate the Sum of Squares (to…
Given are five observations for two variables, x and y. 5 15 17 20 Yi 51 53 43 17 12 Use the estimated regression equation: ŷ = 62.5684 – 2.2807a. a. Compute the mean square error using equation. SSE 82 = MSE - 2 (to 4 decimals) b. Compute the standard error of the estimate using equation. SSE s = VMŞE n- 2 (to 4 decimals) c. Compute the estimated standard deviation of b1 using equation. VE (2i – 7)? (to 4 decimals) d. Use the t-test to test the following hypotheses (a = 0.10): Ho: B1 = 0 Ha: B1 +0 Compute the value of the t-test statistic (Enter negative values as negative numbers). (to 3 decimals) 3.

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