Multiple Choice Which type of correlation is suggested by the scatter plot? (1 point) Responses positive correlation positive correlation negative correlation negative correlation equal correlation equal correlation no correlation
For questions 3–4, use your calculator to create a scatter plot and line of best fit for the following set of data: Average height of a species of tree (in feet) after a certain number of years Years 1 2 3 4 5 6 7 8 Height 2.1 3.2 6.8 7.3 11.2 12.6 13.4 15.9 What is the correlation coefficient for the set of data? Round your answer to the nearest thousandth. (1 point) Responses 0.014 0.014 0.989 0.989 0.075 0.075
The correlation coefficient for the set of data is 0.989.
About how tall would you expect one of these trees to be after 22 years? (1 point) Responses 22.31 ft. 22.31 ft. 35.2 ft. 35.2 ft. 44.25 ft. 44.25 ft. 46.2 ft.
Based on the line of best fit and the correlation coefficient, we can estimate that one of these trees would be about 44.25 ft tall after 22 years.
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is . How confident can you be that your predicted value will be reasonably close to the actual value? (1 point) Responses I can’t be confident at all; this is about as close to a random guess as you can get. I can’t be confident at all; this is about as close to a random guess as you can get. I can be a little confident; it might be close, or it might be way off. I can be a little confident; it might be close, or it might be way off. I can be very confident; it will be close, but it probably won’t be exact. I can be very confident; it will be close, but it probably won’t be exact. I can be certain that my predicted value will match the actual value exactly.
Based on the correlation coefficient alone, we can be very confident that our predicted value will be close to the actual value, but it probably won't be exact.
