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Given are five observations for two variables, x and y . A. Develop the estimate

ID: 3151428 • Letter: G

Question

Given are five observations for two variables, x and y.

A. Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal).
=  +  x

B. Use the estimated regression equation to predict the value of y when x = 3 (to 1 decimal).
=

Given are five observations for two variables, x and y.

xi 1 2 3 4 5 yi 4 7 5 10 15

A. Develop the estimated regression equation by computing the the slope and the y intercept of the estimated regression line (to 1 decimal).
=  +  x

B. Use the estimated regression equation to predict the value of y when x = 3 (to 1 decimal).
=

Explanation / Answer

a)

Using technology, we get              
              
slope =    2.5          
intercept =    0.7          
              
Thus, the regression line is              
              
y^ = 0.7 + 2.5x [ANSWER]

******************************

b)

Thus, if x =    3
  
Then  
  
y^ = 0.7 + 2.5*3 =    8.2 [ANSWER]

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