Question

In: Statistics and Probability

The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...

The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.)

X: 4 4 3 6 10

Y: 5 2 6 7 7

Determine the 0.95 confidence interval for the mean predicted when x = 5.

Determine the 0.95 prediction interval for an individual predicted when x = 5.

Solutions

Expert Solution

code in R

x <- c(4,4,3,6,10)
y <- c(5,2,6,7,7)

model = lm (y ~ x)
summary(model)
#a
predict(model,data.frame(x=5),interval = "confidence")
#b
predict(model,data.frame(x=5),interval = "prediction")

95% confidence interval for mean at x = 5 is (2.3097,8.1775)

95% prediction interval for individual predicted when x= 5 is (-1.8676,12.3548)

Please rate


Related Solutions

The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 5 5 2 6 10 Y: 4 6 5 5 7    Determine the 0.99 confidence interval for the mean predicted when x = 7. Determine the 0.99 prediction interval for an individual predicted when x = 7.
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 9 Y: 4 6 5 1 12    Determine the 0.99 confidence interval for the mean predicted when x = 6. ( _____ , _____) Determine the 0.99 prediction interval for an individual predicted when x = 6. ( _____ , _____)
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 10 Y: 6 6 4 7 7    Determine the 0.95 confidence interval for the mean predicted when x = 9. Determine the 0.95 prediction interval for an individual predicted when x = 9
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 4 2 3 7 10 Y: 3 6 4 7 7 Determine the 0.99 confidence interval for the mean predicted when x = 3. Determine the 0.99 prediction interval for an individual predicted when x = 3.
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 9 Y: 4 6 5 1 12    Determine the 0.99 confidence interval for the mean predicted when x = 6. Determine the 0.99 prediction interval for an individual predicted when x = 6.
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount...
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) x 5 5 3 6 10 y 6 5 5 7 7 a-) Determine the 0.9 confidence interval for the mean predicted when x = 8. [ __________ , ______________] b-) Determine the 0.9 prediction interval for an individual predicted when x = 8. [ __________, ________________]
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount...
1-) The following sample observations were randomly selected. (Do not round the intermediate values. Negative amount should be indicated by a minus sign. Round your answers to 3 decimal places.) x 5 5 3 6 10 y 6 5 5 7 7 a-) Determine the 0.9 confidence interval for the mean predicted when x = 8. [ __________ , ______________] b-) Determine the 0.9 prediction interval for an individual predicted when x = 8. [ __________, ________________]
The following sample observations were randomly selected. (Do not round the intermediate values. Negative value should...
The following sample observations were randomly selected. (Do not round the intermediate values. Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) X: 6 5 3 6 10 Y: 6 6 4 7 7    Determine the 0.95 confidence interval for the mean predicted when x = 9. Determine the 0.95 prediction interval for an individual predicted when x = 9.
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers...
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers to 3 decimal places.) X: 4 5 3 6 10 Y: 4 6 5 7 7 PictureClick here for the Excel Data File a. Determine the 0.95 confidence interval for the mean predicted when X = 7 ( , ) b. Determine the 0.95 prediction interval for an individual predicted when X = 7 ( , )
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers...
The following sample observations were randomly selected. (Do not round the intermediate values. Round your answers to 2 decimal places.) X: 4 5 3 6 10 Y: 9.7 5 10.9 15.3 22.5 a. Determine the 0.95 confidence interval for the mean predicted when X = 8 ( , ) b. Determine the 0.95 prediction interval for an individual predicted when X = 8 ( , )
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT