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Estimate the mean of the independent variable (regression)


Testing for a random walk with driftInterpreting high p value and low correlation valueMultiple regression - low F-statistics and multiple R-squared. What should i do/concludePrediction Interval from Markov ChainsDegrees of freedom of t-test in multiple regression .Finding range of p-values from linear regression modelLinear regression where the error is modifiedthe predicted value of Y , when $x=x_0$Finding $n$ given the margin of error $1$%Problem on the Interpretation of Specfic Regression Equation Variables













0












$begingroup$


If I have the simple linear model: $y=alpha+beta x+epsilon$, and I know that
$hat{alpha}= hat{overline{y}}-hat{beta}hat{overline{x}}$.



Then my estimate og the mean is actually: $hat{overline{x}}=frac{hat{overline{y}}-hat{alpha}}{hat{beta}}$



I'm trying to do this in R, with the lm(), but I don't know if this is correct.



    Call:
lm(formula = ult ~ vale)

Residuals:
Min 1Q Median 3Q Max
-278701 -34922 -13235 21227 940124

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 4.834e+04 7.337e+02 65.89 <2e-16 ***
vale 2.307e-04 5.874e-06 39.27 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 64480 on 13065 degrees of freedom
Multiple R-squared: 0.1056, Adjusted R-squared: 0.1055
F-statistic: 1542 on 1 and 13065 DF, p-value: < 2.2e-16









share|cite|improve this question











$endgroup$












  • $begingroup$
    The lm()-function seems correct for linear models.
    $endgroup$
    – callculus
    2 days ago










  • $begingroup$
    @callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
    $endgroup$
    – Lexie Walker
    2 days ago










  • $begingroup$
    Try $texttt{mean(ult)}$. This command should work.
    $endgroup$
    – callculus
    2 days ago


















0












$begingroup$


If I have the simple linear model: $y=alpha+beta x+epsilon$, and I know that
$hat{alpha}= hat{overline{y}}-hat{beta}hat{overline{x}}$.



Then my estimate og the mean is actually: $hat{overline{x}}=frac{hat{overline{y}}-hat{alpha}}{hat{beta}}$



I'm trying to do this in R, with the lm(), but I don't know if this is correct.



    Call:
lm(formula = ult ~ vale)

Residuals:
Min 1Q Median 3Q Max
-278701 -34922 -13235 21227 940124

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 4.834e+04 7.337e+02 65.89 <2e-16 ***
vale 2.307e-04 5.874e-06 39.27 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 64480 on 13065 degrees of freedom
Multiple R-squared: 0.1056, Adjusted R-squared: 0.1055
F-statistic: 1542 on 1 and 13065 DF, p-value: < 2.2e-16









share|cite|improve this question











$endgroup$












  • $begingroup$
    The lm()-function seems correct for linear models.
    $endgroup$
    – callculus
    2 days ago










  • $begingroup$
    @callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
    $endgroup$
    – Lexie Walker
    2 days ago










  • $begingroup$
    Try $texttt{mean(ult)}$. This command should work.
    $endgroup$
    – callculus
    2 days ago
















0












0








0





$begingroup$


If I have the simple linear model: $y=alpha+beta x+epsilon$, and I know that
$hat{alpha}= hat{overline{y}}-hat{beta}hat{overline{x}}$.



Then my estimate og the mean is actually: $hat{overline{x}}=frac{hat{overline{y}}-hat{alpha}}{hat{beta}}$



I'm trying to do this in R, with the lm(), but I don't know if this is correct.



    Call:
lm(formula = ult ~ vale)

Residuals:
Min 1Q Median 3Q Max
-278701 -34922 -13235 21227 940124

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 4.834e+04 7.337e+02 65.89 <2e-16 ***
vale 2.307e-04 5.874e-06 39.27 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 64480 on 13065 degrees of freedom
Multiple R-squared: 0.1056, Adjusted R-squared: 0.1055
F-statistic: 1542 on 1 and 13065 DF, p-value: < 2.2e-16









share|cite|improve this question











$endgroup$




If I have the simple linear model: $y=alpha+beta x+epsilon$, and I know that
$hat{alpha}= hat{overline{y}}-hat{beta}hat{overline{x}}$.



Then my estimate og the mean is actually: $hat{overline{x}}=frac{hat{overline{y}}-hat{alpha}}{hat{beta}}$



I'm trying to do this in R, with the lm(), but I don't know if this is correct.



    Call:
lm(formula = ult ~ vale)

Residuals:
Min 1Q Median 3Q Max
-278701 -34922 -13235 21227 940124

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 4.834e+04 7.337e+02 65.89 <2e-16 ***
vale 2.307e-04 5.874e-06 39.27 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 64480 on 13065 degrees of freedom
Multiple R-squared: 0.1056, Adjusted R-squared: 0.1055
F-statistic: 1542 on 1 and 13065 DF, p-value: < 2.2e-16






statistics regression math-software






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share|cite|improve this question








edited 2 days ago









callculus

18.3k31427




18.3k31427










asked 2 days ago









Lexie WalkerLexie Walker

1597




1597












  • $begingroup$
    The lm()-function seems correct for linear models.
    $endgroup$
    – callculus
    2 days ago










  • $begingroup$
    @callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
    $endgroup$
    – Lexie Walker
    2 days ago










  • $begingroup$
    Try $texttt{mean(ult)}$. This command should work.
    $endgroup$
    – callculus
    2 days ago




















  • $begingroup$
    The lm()-function seems correct for linear models.
    $endgroup$
    – callculus
    2 days ago










  • $begingroup$
    @callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
    $endgroup$
    – Lexie Walker
    2 days ago










  • $begingroup$
    Try $texttt{mean(ult)}$. This command should work.
    $endgroup$
    – callculus
    2 days ago


















$begingroup$
The lm()-function seems correct for linear models.
$endgroup$
– callculus
2 days ago




$begingroup$
The lm()-function seems correct for linear models.
$endgroup$
– callculus
2 days ago












$begingroup$
@callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
$endgroup$
– Lexie Walker
2 days ago




$begingroup$
@callculus, I know but the question is with that summary how do i get the estimated mean of my independent variable.
$endgroup$
– Lexie Walker
2 days ago












$begingroup$
Try $texttt{mean(ult)}$. This command should work.
$endgroup$
– callculus
2 days ago






$begingroup$
Try $texttt{mean(ult)}$. This command should work.
$endgroup$
– callculus
2 days ago












1 Answer
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$begingroup$

( mean(fitted(lm(formula = ult ~ vale))) - coef( lm(formula = ult ~ vale) )[1] ) / coef( lm(formula = ult ~ vale) )[2]





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    ( mean(fitted(lm(formula = ult ~ vale))) - coef( lm(formula = ult ~ vale) )[1] ) / coef( lm(formula = ult ~ vale) )[2]





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      ( mean(fitted(lm(formula = ult ~ vale))) - coef( lm(formula = ult ~ vale) )[1] ) / coef( lm(formula = ult ~ vale) )[2]





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        answered 2 days ago









        V. VancakV. Vancak

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