Portfolio Stock Portfolio Quarter rate (%) rate (%) Quarter rate (%) Stock rate (%) 1 -2.0 2.7 11 12.3 6.8 2 0.5 3.9 12 16.1 13.0 3 1.3 4.5 13 13.2 11.9 156M 4 5.7 6.0 14 8.8 8.6 10.4 8.7 15 7.9 6.1 3.4 2.7 16 1.1 6.1 7 7.6 3.2 17 3.0 1.0 8 4.1 5.6 18 4.5 7.2 9 5.0 9.2 19 2.7 2.7 10 8.5 11.7 20 7.6 7.6 (a). Let x be the portfolio rate and Y be the stock rate. Examine the plot of the data. Does a simple linear regression model, Y₁ = ẞo + ẞ₁xi + €i, i = 1, . ., 20, seem appropriate? Explain. (b). By hand calculation, fit the simple linear regression model and calculate Bo and B₁. (c). Compute the 20 residuals. hence, calculate SS(Res) and estimate σ². (d). Compute the standard errors of ßo and B₁. (e). Test Ho Bo = 0 and Ha ẞo 0 with the significant level a = = 1%. (f). Produce a 90% confidence interval for ẞ₁.
Portfolio Stock Portfolio Quarter rate (%) rate (%) Quarter rate (%) Stock rate (%) 1 -2.0 2.7 11 12.3 6.8 2 0.5 3.9 12 16.1 13.0 3 1.3 4.5 13 13.2 11.9 156M 4 5.7 6.0 14 8.8 8.6 10.4 8.7 15 7.9 6.1 3.4 2.7 16 1.1 6.1 7 7.6 3.2 17 3.0 1.0 8 4.1 5.6 18 4.5 7.2 9 5.0 9.2 19 2.7 2.7 10 8.5 11.7 20 7.6 7.6 (a). Let x be the portfolio rate and Y be the stock rate. Examine the plot of the data. Does a simple linear regression model, Y₁ = ẞo + ẞ₁xi + €i, i = 1, . ., 20, seem appropriate? Explain. (b). By hand calculation, fit the simple linear regression model and calculate Bo and B₁. (c). Compute the 20 residuals. hence, calculate SS(Res) and estimate σ². (d). Compute the standard errors of ßo and B₁. (e). Test Ho Bo = 0 and Ha ẞo 0 with the significant level a = = 1%. (f). Produce a 90% confidence interval for ẞ₁.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section: Chapter Questions
Problem 68SGR
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