find interval estimates (at a 95.7% level) for a single observation and for the mean

1. For the data set
(−2,−3),(3,3),(6,6),(9,8),(11,9),
find interval estimates (at a 95.7% level) for a single observation and for the mean response of y corresponding to x=8.
Note: For each part below, your answer should use interval notation.

Prediction Interval for Single Observation = 

Confidence Interval for Mean Response = 


2. For the data set
(−3,−1),(3,2),(6,5),(9,8),(10,11),
carry out the hypothesis test
H0: β1=0
Ha: β1≠0

Determine the value of the test statistic and the associated p-value.

Test Statistic = 

p-Value =