The following estimated regression equation based on 10 observations was presented. ŷ 29.1290 + 0.5806x1 +0.4380x2 The values of SST and SSR are 6,716.125 and 6,228.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² 2. (c) Compute R₂². (Round your answer to three decimal places.) Ra (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) ○ The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.

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...
Question
The following estimated regression equation based on 10 observations was presented.
ŷ 29.1290 + 0.5806x1 +0.4380x2
The values of SST and SSR are 6,716.125 and 6,228.375, respectively.
(a) Find SSE.
SSE =
(b) Compute R². (Round your answer to three decimal places.)
R²
2.
(c) Compute R₂². (Round your answer to three decimal places.)
Ra
(d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.)
○ The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
○ The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
○ The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.
○ The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
Transcribed Image Text:The following estimated regression equation based on 10 observations was presented. ŷ 29.1290 + 0.5806x1 +0.4380x2 The values of SST and SSR are 6,716.125 and 6,228.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² 2. (c) Compute R₂². (Round your answer to three decimal places.) Ra (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) ○ The estimated regression equation did not provide a good fit as a large proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation provided a good fit as a small proportion of the variability in y has been explained by the estimated regression equation. ○ The estimated regression equation provided a good fit as a large proportion of the variability in y has been explained by the estimated regression equation.
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