Find the equation of the regression line for the given data

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Find the regression equation. y = [ ] x + ([ ]) Choose the correct graph below. (a) Predict the value of y for x = 4. Choose the correct answer below.

Solution

Using technology, we get              
              
slope =    5.388888889          
intercept =    36.16666667          
              
Thus, the regression line is              
              
y^ =    5.389   x   +   36.167 [ANSWER]

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If we plot the data, we see that the correct graph is OPTION C. [CORRECT GRAPH, OPTION C]

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Thus, if x =    4          
              
Then              
              
y^ =    57.72222222   [ANSWER]