Question

The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. 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 Unsupervised       0.5          1              2              2.5          3              4              6

Overall Grades                98        93             91          82           75          64           63

Step 4 of 6 : Find the estimated value of y when x=4. Round your answer to three decimal places.

Answer 1

The statistical software output for this problem is:

Hence,

Step - 4: Predicted value = 71.747