This Q 8 pts This Test 60 pts Time R ng 011455 Find the equa

This Q 8 pts This Test: 60 pts Time R ng: 01:14:55 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the line. (The pair of gression equation to predict the value of y for each of the given x-values, if meaningful. variables have a significant correlation.) Then use the re The number of hours 6 studens The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying,X 23 3 5 41 42 | 53 | 47 | 63 | 68 (a) x-4 hours (c) x 15 hours (b) x -3.5 hours (d) x -1.5 hours est (b)Predict the value of y for x 3.5.Choose the correct answer below. OB. 55.0 OC. 44.3 OD. not meaningful (c) Predict the value of y for x-15. Choose the correct answer below B. 57.7 2

Solution

b)

Using technology, we get              
              
slope =    5.388888889          
intercept =    36.16666667          
              
Thus, the regression line is              
              
y^ =    5.388888889   x   +   36.16666667
              
Thus, if x =    3.5          
              
Then              
              
y^ =    55.02777778 = 55.0 [ANSWER, B]

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C)

NOT MEANINGFUL, because it is out of the range of our values of x from 0 to 5.

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D)

Thus, if x =    1.5
  
Then  
  
y^ =    44.25 = 44.3 [ANSWER, C]