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Problem Set - Homework 3

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Last updated 5 days ago
15 questions

ME = 85% - 100%

AP = 60% - 84%

DM = 0% - 59%

For the following problems:

(1) Draw a line of best fit

(2) Write a prediction function (equation in y=mx+b form)

(3) Use your prediction function to make predictions!

Muzgan just opened up a new hair salon in Skokie on Oakton Street. The scatterplot below shows the amount of money Muzgan makes in tips based on how many clients she has in a day.


1
Question 1a
1a.

Draw a line of best fit on the scatterplot.

Use the straight line tool!

Hint - Make sure the y-intercept is 0!

1
4
Question 1c
1c.
1

The following scatterplot shows the final quarter grades in Mrs. Gormley's science class for students compared to the number of times they were absent.


1
Question 2a
2a.

2
Question 2b
2b.

1
1
2

Blake is interested in the association between the time spent on studying for a test and the score that is earned. He surveys 30 people about the time they spent studying for a test and the score that they earned on the test. His data is in the scatter plot below.


1
Question 3a
3a.

1
2
2
Question 3d
3d.
1
2
Question 1b
1b.

Pick 2 points form your Line of Best Fit and find the slope (m) and y-intercept (b) and write the prediction function in y=mx+b form!

SHOW WORK FOR FINDING SLOPE!

THIS QUESTION IS MANUALLY GRADED

The meaning of the slope IN THE CONTEXT OF THE PROBLEM is _______ .

The meaning of the y-intercept IN THE CONTEXT OF THE PROBLEM is _______ .
Question 1d
1d.

Use your prediction function (THE EQUATION IN 1B) to predict the amount Muzgan would make in tips if she had 18 clients in one day.

Draw a line of best fit on the scatterplot.

Use the straight line tool!

Hint - Your y-intercept should be 90 and your x-intercept (the point on the x-axis) should be 24...

Plot the 2 intercepts on each axis and create your line of best fit!
Find the slope (m) and y-intercept (b) and write the prediction function in y=mx+b form!

If you're having a hard time finding the slope... use the 2 points in the hint to CALCULATE IT: (0,90) & (24,0)

Slope = (y-y)/(x-x)

SHOW WORK FOR FINDING SLOPE!
Question 2c
2c.

Use your prediction function to PREDICT the final grade of a student who is absent 16 times.

SHOW YOUR WORK!

Question 2d
2d.

Use your prediction function to PREDICT how many times a student is absent who receives a final grade of 5 in the class.

ROUND YOUR ANSWER TO THE NEAREST WHOLE NUMBER!

SHOW YOUR WORK!

Question 2e
2e.
Describe the association between the number of absences and a students' quarter grade:

As the number of absences _______ (increases/decreases), the quarter grade _______ (increases/decreases).
Describe the association between the two variables.

Negative - strong or weak?
Positive - strong or weak?
Question 3b
3b.

Draw a line of best fit for the scatter plot.

Use the straight line tool.

Hint - Your y-intercept should be 20 ...

Question 3c
3c.

Write a prediction function for the line of best fit you just drew.

SHOW ALL WORK!

The slope means that for every _______ that you spend studying for the test, your score will increase by _______
Question 3e
3e.

Use your prediction function to PREDICT the score for a student who studied for 160 minutes.

SHOW YOUR WORK!

Question 3f
3f.
Using the prediction function, we got an answer that PREDICTS what someone's test score would be after studying for 160 minutes...

According to the scatterplot, what were the ACTUAL scores of the 2 students who studied for 160 minutes?

_______ and _______

Would you say your prediction function works well? Explain _______