two questions, thank you! will like 1) The estimated regression equation for a model involving two independent variables

Post by **answerhappygod** » Wed Jul 06, 2022 12:20 pm

two questions, thank you! will like
1) The estimated regression equation for a model involving twoindependent variables and 10 observations follows.
ŷ = 27.1670 + 0.5905x1 + 0.4970x2
(a)
Interpret
b1
in this estimated regression equation.
b1 = 0.4970 is an estimate of thechange in y corresponding to a 1 unit changein x2 when x1 isheld constant.b1 = 0.5905 is an estimateof the change in y corresponding to a 1 unitchangein x2 when x1 isheld constant. b1 =27.1670 is an estimate of the changein y corresponding to a 1 unit changein x1 when x2 isheld constant.b1 = 0.5905 is an estimateof the change in y corresponding to a 1 unitchangein x1 when x2 isheld constant.b1 = 0.4970 is an estimateof the change in y corresponding to a 1 unitchangein x1 when x2 isheld constant.
Interpret
b2
in this estimated regression equation.
b2 = 27.1670 is an estimate of thechange in y corresponding to a 1 unit changein x1 when x2 isheld constant.b2 = 0.4970 is an estimateof the change in y corresponding to a 1 unitchangein x2 when x1 isheld constant. b2 =0.4970 is an estimate of the changein y corresponding to a 1 unit changein x1 when x2 isheld constant.b2 = 0.5905 is an estimateof the change in y corresponding to a 1 unitchangein x1 when x2 isheld constant.b2 = 0.5905 is an estimateof the change in y corresponding to a 1 unitchangein x2 when x1 isheld constant.
(b)
Predict y when
x1 = 190 and x2 = 320.

: Two Questions Thank You Will Like 1 The Estimated Regression Equation For A Model Involving Two Independent Variables 1 (131.2 KiB) Viewed 15 times

2) The following estimated regression equation based on 10observations was presented.
ŷ = 29.1260 + 0.5906x1 + 0.4980x2
The values of SST and SSRare 6,724.125 and 6,225.375, respectively.
(a)
Find SSE.
SSE =
(b)
Compute R2. (Round your answer to threedecimal places.)
R2 =
(c)
Compute
Ra2.
(Round your answer to three decimal places.)
Ra2 =
(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 asa large proportion of the variability in y hasbeen explained by the estimated regression equation.The estimatedregression equation provided a good fit as a large proportion ofthe variability in y has been explained by theestimated regression equation. The estimatedregression equation provided a good fit as a small proportion ofthe variability in y has been explained by theestimated regression equation.The estimated regression equation didnot provide a good fit as a small proportion of the variabilityin y has been explained by the estimatedregression equation.

: Two Questions Thank You Will Like 1 The Estimated Regression Equation For A Model Involving Two Independent Variables 2 (101.85 KiB) Viewed 15 times

The estimated regression equation for a model involving two independent variables and 10 observations follows. ŷ = = 27.1670 + 0.5905x₁ + 0.4970x2 (a) Interpret b₁ in this estimated regression equation. O b₁ = 0.4970 is an estimate of the change in y corresponding to a 1 unit change in x₂ when x₁ is held constant. b₁ = 0.5905 is an estimate of the change in y corresponding to a 1 unit change in x₂ when X₁ is held constant. b₁ = 27.1670 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. b₁ = 0.5905 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. b₁ = 0.4970 is an estimate of the change in y corresponding to a 1 unit change in x₁ when x₂ is held constant. Interpret b₂ in this estimated regression equation. O b₂ = 27.1670 is an estimate of the change in y corresponding to a 1 unit ch nge in when X1 x2 b₂ = 0.4970 is an estimate of the change in y corresponding to a 1 unit change in X2 when X₁ is held constant. b₂ = 0.4970 is an estimate of the change in y corresponding to a 1 unit change in x₁ when X₂ is held constant. b₂ = 0.5905 is an estimate of the change in y corresponding to a 1 unit change in when is held constant. b₂ = 0.5905 is an estimate of the change in y corresponding to a 1 unit change in X₂ when x₁ is held constant. (b) Predict y when x₁ = 190 and x₂ = 320. X2 is held constant.
The following estimated regression equation based on 10 observations was presented. ŷ= = 29.1260 + 0.5906x₁ +0.4980x2 The values of SST and SSR are 6,724.125 and 6,225.375, respectively. (a) Find SSE. SSE = (b) Compute R². (Round your answer to three decimal places.) R² = (c) Compute R₂². (Round your answer to three decimal places.) 2 R = (d) Comment on the goodness of fit. (For purposes of this exercise, consider a proportion large if it is at least 0.55.) O 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 provided a good fit as a large 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 did not provide a good fit as a small proportion of the variability in y has been explained by the estimated regression equation.