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Coefficients: Estimate Std. Error t value Pr(>|t|) Intercept) -27.2412 3.7802 -7.206 1.74e-05 Length 2.9350 0.2849 10.302 5.49e-07 Multiple R-squared: 0.9061, Adjusted R-squared: 0.8976 Which of the following statements are true? There may be more than one correct statement; check all that are true. = 0 against a two-sided alternative is less a) The p-value of the test of Ho B₁ = than 0.05. b) There is strong evidence that the true slope is 0. c) Exactly 80% of the variance of the weight of the smelt in the sample can be explained by the linear relationship with total length. d) The predicted weight for a smelt of length 15 cm is greater than 20 grams.

Coefficients: Estimate Std. Error t value Pr(>|t|) Intercept) -27.2412 3.7802 -7.206 1.74e-05 Length 2.9350 0.2849 10.302 5.49e-07 Multiple R-squared: 0.9061, Adjusted R-squared: 0.8976 Which of the following statements are true? There may be more than one correct statement; check all that are true. = 0 against a two-sided alternative is less a) The p-value of the test of Ho B₁ = than 0.05. b) There is strong evidence that the true slope is 0. c) Exactly 80% of the variance of the weight of the smelt in the sample can be explained by the linear relationship with total length. d) The predicted weight for a smelt of length 15 cm is greater than 20 grams.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Researchers collected information on several species of fish in a Finnish lake. Two of the variables measured on the smelt were total length (nose to tip, in cm), and weight (grams). The following plot and output represent the results of a regression of weight on total length for the 13 smelt in the study. Weight (grams) 20 18 16 14 12 10 8 Coefficients: smelt scatterplot 12 14 Total Length (cm) 13 15 16 Estimate Std. Error t value Pr(>|t|) (Intercept) -27.2412 3.7802 -7.206 1.74e-05 Length 2.9350 0.2849 10.302 5.49e-07 Multiple R-squared: 0.9061, Adjusted R-squared: 0.8976 Which of the following statements are true? There may be more than one correct statement; check all that are true. b) There is strong evidence that the true slope is 0. a) The p-value of the test of Ho: B₁ = 0 against a two-sided alternative is less than 0.05. c) Exactly 80% of the variance of the weight of the smelt in the sample can be explained by the linear relationship with total length. d) The predicted weight for a smelt of length 15 cm is greater than 20 grams.
Transcribed Image Text:Researchers collected information on several species of fish in a Finnish lake. Two of the variables measured on the smelt were total length (nose to tip, in cm), and weight (grams). The following plot and output represent the results of a regression of weight on total length for the 13 smelt in the study. Weight (grams) 20 18 16 14 12 10 8 Coefficients: smelt scatterplot 12 14 Total Length (cm) 13 15 16 Estimate Std. Error t value Pr(>|t|) (Intercept) -27.2412 3.7802 -7.206 1.74e-05 Length 2.9350 0.2849 10.302 5.49e-07 Multiple R-squared: 0.9061, Adjusted R-squared: 0.8976 Which of the following statements are true? There may be more than one correct statement; check all that are true. b) There is strong evidence that the true slope is 0. a) The p-value of the test of Ho: B₁ = 0 against a two-sided alternative is less than 0.05. c) Exactly 80% of the variance of the weight of the smelt in the sample can be explained by the linear relationship with total length. d) The predicted weight for a smelt of length 15 cm is greater than 20 grams.
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