Question

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

Hours Studying 0 1 2 4 5

Midterm Grades 67 77 83 97 99

Answer #1

The hypothesis being tested is:

H0: ρ = 0

Ha: ρ ≠ 0

x | y |

0 | 67 |

1 | 77 |

2 | 83 |

4 | 97 |

5 | 99 |

r² | 0.976 |

r | 0.988 |

Std. Error | 2.411 |

n | 5 |

k | 1 |

Dep. Var. |
y |

Pearson's r is 0.988.

The critical r-value is 0.878.

Since 0.988 > 0.878, we can reject the null hypothesis.

Therefore, we can conclude that the correlation coefficient is statistically significant.

The equation of the regression line is:

y = 69.1395 + 6.4419*x

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 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 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 midterm exam
grades. Using this data, consider the equation of the regression
line, yˆ=b0+b1xy^=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 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 five randomly selected
students spent studying and their corresponding midterm exam
grades. Using this data, consider the equation of the regression
line, y^=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 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...

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