ScholarMatic: Explanation & Answer
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200
x91y607x22305y281,357?xy = 13,483,r ? 0.996.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums ?x, ?y, ?x2, ?y2, ?xy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
?x =
?y =
?x2 =
?y2 =
?xy =
r =
(c) Find x, and y. Then find the equation of the least-squares line = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)x= y= = + x
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
(e) Find the value of the coefficient of determination r2. 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 r2 to three decimal places. Round your answers for the percentages to one decimal place.)
r2 =
explained %
unexplained %
(f) The calves you want to buy are 10 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.)
kg
ScholarMatic: Explanation & Answer
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