Answer:
The correct interpretation of the interval is;
C. We are 95 percent confident that for every one-year increase in the age of black bears in the sample, the average increase in the weights of those black bears is between 7.0 and 18.4 pounds
Step-by-step explanation:
The given parameters are;
The number of black bears = 12 black bears
The relationship investigated by the zoologist is the relationship between years, 'x', and the weight 'y' in pounds
Therefore, we have;
The 95% confidence interval for estimating the population slope of linear regression line predicting weight in tens of pounds based on the age in years is given by 1.272 ± 0.570
Therefore, we get the confidence interval as follows;
10 × (1.272 - 0.570) < < 10 × (1.272 + 0.570)
Which gives;
7.02 < < 18.42
Therefore, we are 95% that the increase in age of a black bear by one year will see an increase in the average weight of black bear by between 7.02 and 18.42 pounds