Confidence interval of dependant variable individual value by R-squared value
Multi tool use
up vote
0
down vote
favorite
From the physical experiment I've got a sample collection of values (unique Y for each unique X). The problem is to find the linear regresstion function of given values collection. Then, assuming that the model is correct, extrapolate found linear function to X=0 and find an appropriate Y value with the confidence interval.
Using MS Excel I've got a graph like this with automatically calculated regression function equation and an R-squared value, which is good. The bad is that I couldn't understand how can I find a confidence interval for Y(X=0) by R-squared value (if it's possible).
The only solution similar to what I need I've found in my coursebook is the way to find the confidence interval for distribution of the constant value measurement (mean of Y), which, I suppose, is not applicable to my problem.
P.S. I can't get more than one value for each unique X because X is actually time. As time rises, the chemical reaction undergoes and electrical conductivity of the solution (which is Y) changes.
statistics linear-regression confidence-interval
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
up vote
0
down vote
favorite
From the physical experiment I've got a sample collection of values (unique Y for each unique X). The problem is to find the linear regresstion function of given values collection. Then, assuming that the model is correct, extrapolate found linear function to X=0 and find an appropriate Y value with the confidence interval.
Using MS Excel I've got a graph like this with automatically calculated regression function equation and an R-squared value, which is good. The bad is that I couldn't understand how can I find a confidence interval for Y(X=0) by R-squared value (if it's possible).
The only solution similar to what I need I've found in my coursebook is the way to find the confidence interval for distribution of the constant value measurement (mean of Y), which, I suppose, is not applicable to my problem.
P.S. I can't get more than one value for each unique X because X is actually time. As time rises, the chemical reaction undergoes and electrical conductivity of the solution (which is Y) changes.
statistics linear-regression confidence-interval
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
From the physical experiment I've got a sample collection of values (unique Y for each unique X). The problem is to find the linear regresstion function of given values collection. Then, assuming that the model is correct, extrapolate found linear function to X=0 and find an appropriate Y value with the confidence interval.
Using MS Excel I've got a graph like this with automatically calculated regression function equation and an R-squared value, which is good. The bad is that I couldn't understand how can I find a confidence interval for Y(X=0) by R-squared value (if it's possible).
The only solution similar to what I need I've found in my coursebook is the way to find the confidence interval for distribution of the constant value measurement (mean of Y), which, I suppose, is not applicable to my problem.
P.S. I can't get more than one value for each unique X because X is actually time. As time rises, the chemical reaction undergoes and electrical conductivity of the solution (which is Y) changes.
statistics linear-regression confidence-interval
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
From the physical experiment I've got a sample collection of values (unique Y for each unique X). The problem is to find the linear regresstion function of given values collection. Then, assuming that the model is correct, extrapolate found linear function to X=0 and find an appropriate Y value with the confidence interval.
Using MS Excel I've got a graph like this with automatically calculated regression function equation and an R-squared value, which is good. The bad is that I couldn't understand how can I find a confidence interval for Y(X=0) by R-squared value (if it's possible).
The only solution similar to what I need I've found in my coursebook is the way to find the confidence interval for distribution of the constant value measurement (mean of Y), which, I suppose, is not applicable to my problem.
P.S. I can't get more than one value for each unique X because X is actually time. As time rises, the chemical reaction undergoes and electrical conductivity of the solution (which is Y) changes.
statistics linear-regression confidence-interval
statistics linear-regression confidence-interval
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
impulsgraw
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 days ago
impulsgraw
1
asked 2 days ago
impulsgraw
1
1
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
impulsgraw is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
impulsgraw is a new contributor. Be nice, and check out our Code of Conduct.
impulsgraw is a new contributor. Be nice, and check out our Code of Conduct.
impulsgraw is a new contributor. Be nice, and check out our Code of Conduct.
impulsgraw is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3005368%2fconfidence-interval-of-dependant-variable-individual-value-by-r-squared-value%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
ayciDw KPlwzya,z4oW8n1dxzhHv 5mcAnL3VnLk,3Q,QB,qXm1,MTGscn9Y
