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 | 2.5 | 3 | 3.5 | 4.5 | 5 | 5.5 |
---|---|---|---|---|---|---|---|

Overall Grades | 97 | 95 | 92 | 91 | 83 | 78 | 72 |

**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 yˆ at x=0.

**(bo/b1/x/y)**

**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 variable yˆ is given by?

**(bo/b1/x/y)**

**Step 5 of 6:** Determine if the statement "All
points predicted by the linear model fall on the same line" is true
or false.

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

Answer #1

The statistical software output for this problem is:

Hence,

Step - 1: Slope = -**5.029**

Step - 2: y-intercept = **104.457**

Step - 3: Value of dependent variable: b0

Step - 4: Change in dependent variable: b1

Step - 5: True

Step - 6: Coefficient of determination =
**0.840**

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...

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...

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...

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...

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...

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...

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...

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 ˆ =b 0 +b 1 x 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 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, yˆ=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...

Chapter 13 #1
The table below gives the list price and the number of bids
received for five randomly selected items sold through online
auctions. Using this data, consider the equation of the regression
line, yˆ=b0+b1x, for predicting the number of bids an item will
receive based on the list price. 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...

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