() Find . and y. Then find the equation of the least-squares linej-bx. (For each ansver enter a number. Round your ansvers fori and to bvo decimal places. Round your ansves for a and b to three decimal places.) (4) Graph the least-squares line. Be sure to plot the point G.)as a point on the line. (Select the coect graph.) 200 200 200 150 150 150 150 100 100 100 100 s0 10 (@) Find the value of the coeficent of decermination . whar percentage of the variacon in y can be eplained by the corresponding variacon inxand the least-squares line? whar percencage is uneplanes? (For each ansver, encera number. R eplained= uneplained = ) The calves vou want to buy are 19 weeis old. what does the least-squares line predict for a healthy weight (in kg)? (Enter a number Round your anser to two decimal places-)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Hello, please answer all parts if possible. if not, please answer c, e and f, thank you.
 alt="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).
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Complete parts (a) through (e), given Ex = 95, Ey = 609, Ex? = 2375, Ey = 81,559, Ex y = 13,777, and r* 0.997.
(a) Make a scatter diagram of the data. (Select the correct graph.)
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(b) Verify the given sums Ex, Ey, Ex, Ey?, Ex 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.)
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(c) Find x, and y. Then find the equation of the least-squares line ý = a + bx. (For each answer, enter a number. Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
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(d) Graph the least-squares line. Be sure to plot the point (x. y) as a point on the line. (Select the correct graph.)
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(e) Find the value of the coefficient of determination 2. 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? (For each answer, enter a number. Round your answer for 2 to three decimal places. Round your answers for the percentages to one decimal place.)
explained =
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(f) The calves you want to buy are 19 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.)
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