The first slide is the denifition of simple linear regression model, the second slides is an example
[![definition][1]][1]
[![question][2]][2]
The second question I have is I still have difficulties in understanding Confidence interval for mean and Confidence interval and Prediction interval. For the example above, if I was correct,the standard deviation would be 0.0634 then y3 would be :y3~(10,0.0634^2), so we can say we are 95% sure y3 would be from 10-20.0634 to 10+20.0634, why we still need Confidence interval for mean and and Prediction interval?
[1]: https://i.sstatic.net/TAPGi.png
[2]: https://i.sstatic.net/wcaWG.pngWhy we can't just use standard deviation s from sample directly
The first slide is the denifition of simple linear regression model, the second slides is an example [![definition][1]][1] [![question][2]][2] The second question I have is I still have difficulties in understanding Confidence interval for mean and Confidence interval and Prediction interval. For the example above, if I was correct,the standard deviation would be 0.0634 then y3 would be :y3~(10,0.0634^2), so we can say we are 95% sure y3 would be from 10-20.0634 to 10+20.0634, why we still need Confidence interval for mean and and Prediction interval? [1]: https://i.sstatic.net/TAPGi.png [2]: https://i.sstatic.net/wcaWG.png
The first slide is the denifition of simple linear regression model, the second slides is an example
[![definition][1]][1]
The second question I have is I still have difficulties in understanding Confidence interval for mean and Confidence interval and Prediction interval. For the example above, if I was correct,the standard deviation would be 0.0634 then y3 would be :y3~(10,0.0634^2), so we can say we are 95% sure y3 would be from 10-20.0634 to 10+20.0634, why we still need Confidence interval for mean and and Prediction interval?
Why we can't just use standard deviation s from sample directly
The first slide is the denifition of simple linear regression model, the second slides is an example
[![definition][1]][1]
[![question][2]][2]
I have two questions:
1.Did I get the right calculation of the standard deviation?
2.I still have difficulties in understanding Confidence interval for mean and Confidence interval and Prediction interval. For the example above, if I was correct,the standard deviation would be 0.0634 then y3 would be :y3~(10,0.0634^2), so we can say we are 95% sure y3 would be from 10-20.0634 to 10+20.0634, why we still need Confidence interval for mean and and Prediction interval?
[1]: https://i.sstatic.net/TAPGi.png
[2]: https://i.sstatic.net/wcaWG.png
The first slide is the denifition of simple linear regression model, the second slides is an example
Did I get the right calculation of the standard deviation?
The first slide is the denifition of simple linear regression model, the second slides is an example [![definition][1]][1] [![question][2]][2] I have two questions: 1.Did I get the right calculation of the standard deviation? 2.I still have difficulties in understanding Confidence interval for mean and Confidence interval and Prediction interval. For the example above, if I was correct,the standard deviation would be 0.0634 then y3 would be :y3~(10,0.0634^2), so we can say we are 95% sure y3 would be from 10-20.0634 to 10+20.0634, why we still need Confidence interval for mean and and Prediction interval? [1]: https://i.sstatic.net/TAPGi.png [2]: https://i.sstatic.net/wcaWG.png