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,y^=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 Overall Grades

2 98

2.5 85

3 76

3.5 74

4.5 68

5 65

5.5 61

Step 1 of 6:Find the estimated slope. Round your answer to three decimal places.

Step 2 of 6:Find the estimatedy-intercept. Round your answer to three decimal places.

Step 3 of 6:Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

Step 4 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 variabley^is given by?

Step 5 of 6:Find the estimated value ofywhenx=3. Round your answer to three decimal places.

Step 6 of 6:Find the value of the coefficient of determination. Round your answer to three decimal places.