The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven ra

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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 1 of 6: Find the estimated slope. Round your answer
to three decimal places
Step 2 of 6: Find the estimated y-intercept. Round your
answer to three decimal places.
Step 3 of 6: Determine if the statement "All points
predicted by the linear model fall on the same line" is true or
false.
Step 4 of 6: Find the estimated value of y when x=4.
Round your answer to three decimal places.
Step 5 of 6: According to the estimated linear model, if
the value of the independent variable is increased by one unit,
then the change in the dependent variable yˆ is given
by?
Step 6 of 6: Find the value of the coefficient of
determination. Round your answer to three decimal
places.