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+b1xy^=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	0.50.5	1.51.5	22	3.53.5	44	4.54.5	5.55.5
Overall Grades	9494	8282	7777	7474	7373	6161	6060

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 the value of the dependent variable yˆy^ at x=0x=0.

Step 4 of 6:

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

Step 5 of 6:

Find the estimated value of y when x=4.5x=4.5. 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.

Answer 1

The statistic software output for this problem is:

Step - 1) slope = -6.283

Step - 2) y intercept = 93.725

Step - 3) y intercept = 93.725

Step - 4) False

Step - 5) Estimated value = 65.454

Step - 6) coefficient of determination = 0.905