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A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 6.5 7.5 6.5 5.5 7.5 11.5 9.5 5.5 54 40 62 55 56 62 42 40 59 51 50 Home-Range Size (km²) 43.0 46.7 57.3 35.5 62.1 33.9 39.6 32.2 57.2 24.5 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x₁ = age and x₂ = weight. (Round your numerical values to four decimal places.) ŷ = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. Ho: B₁ = B₂₁ = 0 H₂: at least one of ₁ or B₂ is not 0. Ho: B₁ =B₂ = 1 H₂: at least one of B₁ or B₂ is not 1. O Ho: At least one of ₁ or ₂ is not 1. Ha: B₁ = B₂ = 1 O Ho: At least one of B₁ or B₂ is not 0. на: В1 B₂ = 0 Calculate the test statistic. (Round your answer to two decimal places.) F = Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.) P-value =

A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 6.5 7.5 6.5 5.5 7.5 11.5 9.5 5.5 54 40 62 55 56 62 42 40 59 51 50 Home-Range Size (km²) 43.0 46.7 57.3 35.5 62.1 33.9 39.6 32.2 57.2 24.5 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x₁ = age and x₂ = weight. (Round your numerical values to four decimal places.) ŷ = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. Ho: B₁ = B₂₁ = 0 H₂: at least one of ₁ or B₂ is not 0. Ho: B₁ =B₂ = 1 H₂: at least one of B₁ or B₂ is not 1. O Ho: At least one of ₁ or ₂ is not 1. Ha: B₁ = B₂ = 1 O Ho: At least one of B₁ or B₂ is not 0. на: В1 B₂ = 0 Calculate the test statistic. (Round your answer to two decimal places.) F = Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.) P-value =

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two decimal places.) Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.)
Transcribed Image Text:A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age Weight (years) (kg) 10.5 6.5 28.5 F = 6.5 7.5 6.5 5.5 7.5 11.5 P-value = 9.5 5.5 54 |O Ho: B1 = B2 =1 40 62 55 56 62 42 40 59 51 50 H₂: at least one of B₁ or H₂: at least one of B₁ or Home-Range Size (km²) Ho: At least one of ₁ or H₂: B₁ = B₂ = 1 43.0 46.7 57.3 35.5 62.1 = weight. (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors X₁ = age and X2 (Round your numerical values to four decimal places.) ŷ 33.9 (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. ⒸH₁: B₁ = B₂ = 0 39.6 32.2 57.2 24.5 68.6 B₂ is not 0. ₂ is not 1. O Ho: At least one of ₁ or ₂ is not 0. H₂: B₁ = B₂ = 0 ₂ is not 1. Calculate the test statistic. (Round your answer to two decimal places.) Use technology or SALT to calculate the P-value. (Round your answer to four decimal places.)
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