Please answer the following questions:
1.
Overall, there is a _____________ relationship between the time spent studying and the score on the exam.
a.
Positive
b.
Negative
c.
The relationship cannot be determined.
d.
I don’t know the answer.
2.
True or False? Given that the maximal score on the exam was 100%, a linear model will likely overestimate the exam score when a student studies for more than 8 hours.
a.
True
b.
False
c.
I don’t know the answer.
3.
Each of the four plots below (A-D) shows a function that describes a relationship between the time spent studying and the score on the exam. The function is depicted by a red line. Use these plots to answer questions 3 and 4.
4 Scatterplots with Time spent studying (hours) on the x-axis with a range from 0 to 8 and Score on exam (percentage) with a range from 0 to 100. 5 points on the graph are (0, 38), (2, 39), (4, 80), (6, 90), (8, 92) which create a sigmoid shape. A unique linear function is overlaid on each graph. The following descriptions describe the linear functions Graph A Is a straight linear function. Graph B is a slight sigmoid function, but does not fit the data points exactly. Graph C is a sigmoid function that closely fits the data points. Graph D is a horizontal line at 62%.
True or False? Compared to the function in plot C, the function in plot A underestimates the grade for 5 hours of study time.
a.
True
b.
False
c.
I don’t know the answer.
4.
Which plot contains the function that most accurately describes the data?
a.
Plot A
b.
Plot B
c.
Plot C
d.
Plot D
e.
I don't know the answer.