a child psychologist suspects that there is a linear relationship between the am

Question

a child psychologist suspects that there is a linear relationship between the amount of calories in the lunches of pre-school age children and the length of time they are able to focus on a given subject. she calculates a regression line where the slope estimates the length of a child focusing (in minutes) with the number of calories consumed at lunch. she calculates a 95% confidence interval for the regression slope to be (-0.53, -0.34) Assuming the requirements for this confidence interval are met, what is the correct interpretation?

1. 95% of the time, the sample regression slope is between -.53 and -0.34

2. 95% of 95% of all confidence intervals contain the true regression slope

3. 95% of her data was between -.053 and -0.34

4. There is a 95% chance the true regression slope is between -0.53 and -0.34

5. none of the above interpretation is correct

Explanation / Answer

Answer is 5, None of the above interpretation is correct

It should be: If we replicated the same study multiple times with different random samples and computed a confidence interval for each sample, we would expect 95% of the confidence intervals to contain the true slope of the regression line.

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