I need help with B, E, and F ONLY. You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 5 11 16 26 36 y 39 47 73 100 150 200 Complete parts (a) through (e), given Σx = 95, Σy = 609, Σx2 = 2375, Σy2 = 81,559, Σx y = 13,777, and r ≈ 0.997. (a) Make a scatter diagram of the data. (Select the correct graph.) (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σx y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.) Σx = Σy = Σx2 = Σy2 = Σx y = r = (c) Find , and . Then find the equation of the least-squares line = a + b x. (For each answer, enter a number. Round your answers for and to two decimal places. Round your answers for a and b to three decimal places.) = x bar = = y bar = = value of a coefficient value of b coefficient (d) Graph the least-squares line. Be sure to plot the point (, ) as a point on the line. (Select the correct graph.) (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 xand the least-squares line? What percentage is unexplained? (For each answer, enter a number. 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 17 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.) kg

Name: I need help with B, E, and F ONLY. You are the foreman of the Bar-S ca
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Description: I need help with B, E, and F ONLY. You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the a

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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x	1	5	11	16	26	36
y	39	47	73	100	150	200

(a)

Make a scatter diagram of the data. (Select the correct graph.)

(b)

Verify the given sums Σx, Σy, Σx², Σy², Σx y, and the value of the sample correlation coefficient r. (For each answer, enter a number. Round your value for r to three decimal places.)

Σx =

Σy =

Σx² =

Σy² =

Σx y =

r =

(c)

Find , and . Then find the equation of the least-squares line = a + b x. (For each answer, enter a number. Round your answers for and to two decimal places. Round your answers for a and b to three decimal places.)

= x bar =

= y bar =

= value of a coefficient value of b coefficient

(d)

Graph the least-squares line. Be sure to plot the point (, ) as a point on the line. (Select the correct graph.)

(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 xand the least-squares line? What percentage is unexplained? (For each answer, enter a number. 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 17 weeks old. What does the least-squares line predict for a healthy weight (in kg)? (Enter a number. Round your answer to two decimal places.)
kg

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