Given the data listed in the table below, calculate the lower and upper bound of the 99% prediction interval for the response variable at X = 3. The regression equation is given by y^ = b0 + b1x.
Regression Statistics | ||
---|---|---|
Statistic | Value | |
b0 | 4.6 | |
b1 | 1.15 | |
x | 4.81 | |
se | 1.772 | |
SSX | 52.29 | |
SST | 42.33 | |
n | 40 |
Give your answer to 2 decimal places. You may find this Student's t distribution table useful.
a) Lower bound =
b)Upper bound =
And regression statistics
Regression Statistics | ||
---|---|---|
Statistic | Value | |
b0 | 4.6 | |
b1 | 1.15 | |
x | 4.81 | |
se | 1.772 | |
SSX | 52.29 | |
SST | 42.33 | |
n | 40 |
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