A set of n = 8 ordered pairs has the following sums.     x     = 111     x2     = 1,869     y     = 618     y2     = 49,374     xy     = 7,860 (a) Find the line of best fit. (Round your answers to one decimal place.) ŷ = -2.2 x + 107.4 (b) Predict the value of y when x = 5. (Round your answer to one decimal place.) y = 96.4 (c) Predict the value of x when y = 90. (Round your answer to one decimal place.) x = 8 (d) Find the coefficient of linear correlation. (Round your answer to three decimal places.) (e) Are the predictions in parts (b) and (c) reliable? Why or why not? Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.    No, they are not reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.No, they are not reliable since the slope is negative.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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PLEASE ANSWER D & E

 

A set of n = 8 ordered pairs has the following sums.

 
  x
 
 
 = 111
 
  x2
 
 
 = 1,869
 
  y
 
 
 = 618
 
  y2
 
 
 = 49,374
 
  xy
 
 
 = 7,860
(a) Find the line of best fit. (Round your answers to one decimal place.)
ŷ = -2.2 x + 107.4

(b) Predict the value of y when x = 5. (Round your answer to one decimal place.)
y = 96.4

(c) Predict the value of x when y = 90. (Round your answer to one decimal place.)
x = 8

(d) Find the coefficient of linear correlation. (Round your answer to three decimal places.)


(e) Are the predictions in parts (b) and (c) reliable? Why or why not?
Yes, they are reliable since the slope is negative.Yes, they are reliable since the correlation coefficient is close to −1.    No, they are not reliable since the correlation coefficient is close to −1.Yes, they are reliable since the correlation coefficient is close to 1.No, they are not reliable since the slope is negative.
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