Statistics
There is a 95% probability that beta equals a value between 0.30 and 1.10 and so beta is exactly one of those values in 95% of samples.
We are 95% confident the true slope is between 0.30 and 1.10; because the interval excludes zero, this supports evidence of a positive linear relationship in the population.
Because the interval does not include zero, we must conclude the sample slope is biased and cannot be used.
We are 95% confident that 95% of individual predicted responses fall between 0.30 and 1.10.