The table shown to the right gives the national average pupil-teacher ratio in public schools over selected years. a. Find the equation for the least squares line. Let x correspond to the number of years since 1990 and let y correspond to the average number of pupils per 1 teacher. b. Use the answer from part a to predict the pupil-teacher ratio in 2020. Does this seem realistic? e. Calculate and interpret the correlation coefficient a. The equation for the least squares line is Y (Use integers or decimals for any numbers in the equation. Round to four decimal places as needed.) b. Using the answer from part a, the pupil-teacher ratio in 2020 will be (Round to one decimal place as needed.) Does this seem realistic? Yes, the prediction is positive, so it is realistic. O No, the prediction is negative, which is not possible. c. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to four decimal places as needed.) OA The correlation coefficient is OB. The correlation coefficient is which indicates a fairly strong linear correlation, which indicates that there is no linear correlation Year Ratio 1990 19.4 1992 19.7 1994 18.9 1996 1998 322 182 16.8 O

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