In: Statistics and Probability
7) Construct a 90% confidence interval for B1 when B1 = -8.4 , SSE = 4146 SSxx = 64 and n = 24 .Interpret the interval
Therefore, the 90% confidence interval for the slope is ( -11.35, -5.45)
Interpretation:
If we repeat the same study for large number of times with different random samples and computed a confidence interval for each sample, we would expect 90% of the confidence intervals to contain the true slope of the regression line.
Therefore, we are 90% confidence that the population slope coefficient lies between ( -11.35, -5.45) this interval.
Also note that: Since the interval of slope is not include zero. So there is significance linear relationship between the dependent variable(y) and the independent variable (x).