Question

The table below gives the number of hours ten randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, y ˆ = b 0 + b 1 x y^=b0+b1x , for predicting the midterm exam 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 0.5 1 1.5 2 2.5 3.5 4 4.5 5 6 Midterm Grades 62 64 67 69 71 74 83 86 88 93 Step 4 of 6: Find the estimated value of y when x=3.5 . Round your answer to three decimal places.

Answer 1

The statistical software output for this problem is:

Predicted values: s.e.(Pred. y) 95% C.I. for mean X value Pred. Y 95% P.I. for new 0.63319857 (76.892199, 79.812516) (73.64981, 83.054905) 3.5 78.352357

Hence,

Estimated value of y = 78.352