Question

The table below gives the number of hours five randomly selected students spent studying and their corresponding grades. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^, for predicting the grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying

Hours Studying	2	3	4	5	6
Term Grades	60	81	86	98	100

Find the error prediction when x=5. Round your answer to three decimal places.

Answer 1

The estimated regression equation is

Y^=46.2+9.7*X

The error in the prediction when x=5 is

e=y-y^

e=3.3