Drawing Trend Lines Answers

12 verified answers1 views
6

Based on the trend lines you just generated, which of these statements are true? Check all that apply.

A
Both scatterplots had trend lines with positive slopes.
B
The same test score is expected from studying for 5 hours or sleeping for 5 hours.
C
There is no correlation between the test scores and the number of hours slept.
D
The regression line can predict the number of hours studied based on the number of hours slept.
E
There is evidence that those with higher test scores tended to sleep more the night before.
7

Before data is entered into the regression calculator, some data may be excluded. Explain why the data pair (0, 100) was excluded for the comparison of hours slept the night before and the test score. Describe what this data point represents. If it was included, would the trend line describe the data well?

Answer:

The data pair (0, 100) was excluded because it is an outlier that does not follow the general trend. This data point represents a student who received a score of 100 after getting 0 hours of sleep. If this point were included in the regression, the trend line would not describe the data well because the outlier would skew the results, making the model less accurate for representing the typical relationship between sleep and test scores.

8

The regression line shows a:

A
negative trend line with a strong relationship.
B
negative trend line with a weak relationship.
C
positive trend line with a strong relationship.
D
positive trend line with a weak relationship.
10

As the number of hours studying increases, the coressponding test score

A
tends to increase
B
tends to decrease
C
is not affected
D
cannot be determined
12

Which of the following did you include in your response? Check all that apply.

A
Outliers should be excluded when producing a trend line, regardless of the method used.
B
The student got a score of 100 with no sleep.
C
This data pair was a rare event.
D
If the outlier was included, it would cause the trend line to misrepresent the typical data relationship.

Did you find these answers helpful?