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f(b] Verify the given sums Ex, Zy, Ex , Ey , Exy, and the value of the sample correlation coefficient r. (Round your value for
\f(b] Verify the given sums Ex, Zy, Ex , Ey , Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places. ) Ty Ex zy EXY (c) Find x, and y. Then find the equation of the least-squares line ? - a + box. (Found your answers for x and y to two decimal places. Round your answers for a and b to three decimal places. ) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 10 15 20 5 10 15 20 O-2 - X 10 15 20 15 20 (e) Find the value of the coefficient of determination r. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for / to three decimal places. Round your answers for the percentages to one dedmal place.) explained unexplained (f) Suppose a pharmaceutical company has 12 different research programs. What does the least-squares equation forecast for y - mean number of patents per program? (Round your answer to two decimal places.) patents per program
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