Writing Assignment 1
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School
Collin County Community College District *
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Course
1301
Subject
Mathematics
Date
Apr 3, 2024
Type
Pages
6
Uploaded by MateToadPerson1067
Name(s): Khushman, Lauren, & Manuela Lab Report I
Instructions: Type your responses immediately after the questions on the assignment. Feel free to bold your answers or answer in red for anything requiring a simple response, however, do not do this for any of the graphs. Please keep all formatting of the posted assignment, including font (Arial narrow), margins, footer, page numbers, instructions, etc. Grade deductions will occur if you submit a file that is poorly formatted (i.e., messy). Only type written and computer-generated graphs are acceptable. Handwritten submissions will receive a grade of zero.
Part A. Understanding Independent and Dependent Variables. Given the following hypotheses or experimental information, state the dependent and independent variables. NOTE: There is only one of each for each situation. Please make sure your responses are clearly and precisely written and use complete sentences.
1.
You wanted to see if there was a relationship between the number of goals college hockey player score in college and the amount of money they will get paid when they start playing professional hockey.
a)
Independent variable: The independent variable in this experiment is the number of goals a college hockey player scores in college.
b)
Dependent variable:
The dependent variable is the amount of money they will get paid when they start playing professional hockey.
2.
One group of patients with high blood pressure were treated with atenolol for 4 weeks. Another group of patients received propranolol for 4 weeks. The blood pressures of the two treatment groups were compared at the end of the study.
a)
Independent variable:
The independent variable is the type of medicine being taken.
b)
Dependent variable:
The dependent variable is the blood pressure of the patients.
3.
You want to determine the dosage of a new drug needed to keep a person from coughing. a)
Independent variable: The independent variable is the dosage of a new drug given to the person.
b)
Dependent variable:
The dependent variable is how much that person will cough.
4.
The Hb1Ac levels of a diabetic patient treated with metformin was tracked every month over the course of a year. a)
Independent variable:
The independent variable is the metformin that was administered to the patient. b)
Dependent variable:
The dependent variable is the Hb1Ac levels of the diabetic patient.
Part B: Understanding which type of graph to use. In this course, you will only use three types of graphs, which include vertical bar graphs, line graphs, or scatter plots. State which type would be best to represent the results for each of the experiments described below.
5.
The Hb1Ac levels of a diabetic patient treated with metformin was tracked every month over the course of a year. Type of graph: For this experiment a line graph would be best to represent the results of the experiment. Measuring in months, the line graph’
s x axis can represent the independent variable of time. The y axis will be used to represent the amount of Hb1Ac levels detected in the diabetic patient. 6.
You wanted to see if there was a relationship between the number of goals college hockey player score in college and the amount of money they will get paid when they start playing professional hockey.
Type of graph: For this experiment a scatter plot would be best to use to represent the relationship between the number of goals college hockey players score in college and the amount of money they will get paid when they start playing hockey. This plot is able to determine the correlation between two variables. The line of best fit will determine how strong or weak the correlation between the two variables are; the closer the dots are to the line, the more positive the correlation. 7.
One group of patients with high blood pressure were treated with atenolol for 4 weeks. Another group of patients received propranolol for 4 weeks. The blood pressures of the two treatment groups were compared at the end of the study.
Type of graph: For this experiment using a vertical bar graph would best suit comparing the effects of the two drugs. The x axis for the graph would represent the two different medicines tha
t are used to treat patients’ blood pressure. The y axis would be used to measure the patient's blood pressure
Part C. Interpretation of graphs. Analyze each graphical representation of data posted on Canvas and answer the questions. 8.
Refer to Figure 1
to answer the questions that follow.
a.
Using a complete sentence, state the independent variable. The independent variable is the college.
b.
Using a complete sentence, state the dependent variable. The dependent variable is the cost of tuition. c.
Which college is the i.
most expensive? The most expensive college is North Central Texas College at $188
2.
least expensive? The least expensive college is Grayson College at $88.
3.
What is the difference in cost per credit hour between the most & least expensive college? The difference in cost per credit hour between North Central Texas College and Grayson College is $100. a.
What is the percentage difference in cost between Collin College and Dallas College? (NOTE: There are percentage difference calculators available on the internet) Please make sure you also state if Collin College is more or less expensive than Dallas College.
The percentage difference in cost between Collin College and Dallas College is 29.06%, making Collin College cheaper than Dallas College. b.
Based on the data on the graph, calculate the tuition cost for a student who takes 18 credit hours at Grayson College. Do not forget units. The cost of tuition for taking 18 credit hours at Grayson College is $1,584.
9.
Refer to Figure 2
to answer the following questions.
a.
Using a complete sentence, state the independent variable. The independent variable is the drug dosage (mg). b.
Using a complete sentence, state the dependent variable. The dependent variable is the Serum Calcium Levels (mg/dL).
c.
What is the correlation, if any, between the drug dosage and serum calcium levels? If it shows a correlation, state both the correlation (positive or negative) and the strength of the correlation (strong, medium, or weak). There is a negative and strong correlation between the drug dosage and serum calcium levels. It seems as the higher the drug dosage is the serum calcium levels decrease. d.
The data used for scatter plots can also be used to determine mathematical relationships between variables. Excel can calculate the equations that show the relationships and is depicted for you on the figure. Use this information to determine the predicted serum calcium levels in a subject given 185 mg of Caltrex. Round your answer to the nearest tenth and remember to use correct units. The serum calcium levels given that the subject given 185 mg of Caltrex would be 9.2 mg/Lg. 10.
Refer to Figure 3
to answer the following questions.
a.
What was the highest temperature? (Do not forget units)
The highest temperature is 39
°F. b.
What was the lowest temperature? (Do not forget units)
The lowest temperature is 6
°F.
c.
At what time did the temperature get below freezing?
Between 8am and 9am, the temperature drops to below freezing temperatures.
d.
An employee of TOPS Markets left for work at 6 am and the stored closed at 2 pm due to the storm that hit the western NY region. How much had the temperature decreased from the time this person left for work and the time they left work to go home? Do not forget units.
At 6 am, the temperature was 38°F and at 2 pm the temperature was at 10°F. The temperature dropped 28 degrees
.
e.
The greatest drop in temperature that occurred in a one-hour time span occurred between which times? The greatest drop in temperature that occurred in a one-hour time span was between 11am and 12pm having dropped 6
°F. Part D.
Compilation of data, using proper math, and graphing basics. Typically individual data is not used when presenting results, especially when the sample size is large. Use the data provided on Canvas to present the following results.
11.
Given the information and data provided in Data Set One
to complete the following:
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a.
Design a scatter plot that shows the correlation, if any, between the age and resting heart rate. Please follow the guidelines for design of a scatter plot provided to you in Canvas. Insert the graph immediately below these instructions, making sure the caption does not get separated from the figure (if needed, you can insert the graph on the next page). Label the graph Figure 4. Figure 4
. This scatterplot depicts the relationship between age and the resting heart rate. There are 40 subjects between the ages of 21 and 29. Their heart rates range from 58-102 bpm. There was no direct correlation between the age and the resting heart rate, meaning that the age of a person does not determine their heart rate. r
2
b.
What is the correlation, if any, between the age and resting heart rate If it shows a correlation, state both the correlation (positive or negative) and the strength of the correlation (strong, medium, or weak). There is no correlation between the age and resting heart rate and the correlation is weak because r is close to 0.
12.
Given the information and data provided in Data Set Two
to complete the following:
a.
Calculate the average heart rate before and after exercise and insert in the table below. Round your answers to the nearest whole number. Average Heart Rate (bpm)
Before Exercise
Exercise
88
128
Average Heart Rate (bpm)
b.
Design a vertical bar graph that compares the average heart rate
before and after exercise. Please follow the guidelines for design of a bar graph provided to you in Canvas. Insert the graph immediately below these instructions, making sure the caption does not get separated from the figure (if needed, you can insert the graph on the next page). Label the graph Figure 5.
Figure 5.
This bar graph depicts the average difference in resting heart rate and exercise heart rate. The data is collected from 30 subjects. A.
What happened to heart rate during exercise and how much did heart rate change? The heart rate increased during exercise. It increased by 40 beats per minute. B.
Which subject had the greatest change in heart rate? Subject number 8 had the biggest change in heart rate, which was a difference of 68 bpm. C.
Which subject had the smallest change in heart rate? Subject number 5 had the smallest change in heart rate, which was a difference of 12 bpm. 13.
Given the information and data provided in Data Set Three
to complete the following:
a.
Design a line graph that depicts the length of the child each month from birth until their 1
st
birthday. Please follow the guidelines for design of graphs provided to you in Canvas. Insert the graph below with its appropriate caption, making sure the caption does not get separated from the figure (if needed, you would insert the graph on the next page). Label the graph Figure 6.
Figure 6.
This line graph is a depiction of the length of a child from birth to their 1
st
birthday. The height of the child is measured in inches.
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