Question

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 to make a prediction if the correlation coefficient is not statistically significant.

Hours Studying | 0 | 0.5 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 | 4.5 | 5.5 |
---|---|---|---|---|---|---|---|---|---|---|

Midterm Grades | 63 | 68 | 72 | 73 | 80 | 84 | 86 | 87 | 94 | 99 |

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. (b0, b1, x or y)

Step 4 of 6:

Find the estimated value of y when x=2.5. Round your answer to three decimal places.

Step 5 of 6:

Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable yˆ

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 = 6.533

Step - 2: y - intercept = 62.962

Step - 3: Value of dependent variable: bo

Step - 4: Estimated value = 79.293

Step - 5: Change in dependent variable = 6.533

Step - 6: Coefficient of determination = 0.981

The table below gives the number of hours five 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...

The table below gives the number of hours ten randomly selected
students spent studying and their corresponding test grades. Using
this data, consider the equation of the regression line, yˆ=b0+b1x,
for predicting the test 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 to make...

The table below gives the number of hours five randomly selected
students spent studying and their corresponding grades. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the 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 to make a prediction...

The table below gives the number of hours five randomly selected
students spent studying and their corresponding term grades. Using
this data, consider the equation of the regression line,
yˆ=b0+b1xy^=b0+b1x, for predicting the 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 to make a...

The table below gives the number of hours five randomly selected
students spent studying and their corresponding grades. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the grades 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 to make a prediction...

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+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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 6 minutes ago

asked 26 minutes ago

asked 33 minutes ago

asked 40 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago