Chemistry 130 - Lab 1 - Bryan Ortega
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University of Kansas *
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Apr 3, 2024
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Predicted Temperature Highs in Lawrence, Kansas Lab Report
Table 1: Predicted Temperature Highs in Lawrence, Kansas in units of Fahrenheit, Celsius, and Kelvin
Date
Temperature (°F)
Temperature (°C)
Temperature (K)
7/5/22
97.0
36.1
309.3
7/6/22
98.0
36.7
309.8
7/7/22
96.0
35.6
308.7
7/8/22
88.0
31.1
304.3
7/9/22
89.0
31.7
304.8
7/10/22
93.0
33.9
307.0
Average
93.5
34.2
307.3
Standard Deviation
4.2
2.4
2.4
The table shows the predicted temperature highs in Lawrence, Kansas by taking the dates and predicted temperature in degrees Fahrenheit. To convert from degrees Fahrenheit to degrees Celsius the equation °C = 5/9*(°F-32) was used. Degrees Celsius is then converted to the temperature in Kelvin by using the formula K = °C + 273.15. The table also includes the average temperature and the standard deviation for each Fahrenheit, Celsius, and Kelvin.
Degrees Celsius v. Degrees Fahrenheit
30.0
31.0
32.0
33.0
34.0
35.0
36.0
37.0
38.0
82.0
84.0
86.0
88.0
90.0
92.0
94.0
96.0
98.0
100.0
f(x) = 1.8 x + 32
R² = 1
Celsius v. Fahrenheit
Temperature in Degrees Celsius
Temperature in Degrees Fahrenheit
Figure 1.
The table above shows the relationship between the temperature in Lawrence, Kansas in degrees Celsius and degrees
Farhenheit. The x-axis represents degrees Celsius and the y-axis represents degrees Farhenheit.
The tendline shows a direct proportional relationship between degrees Celsius and degrees Fahrenheit, meaning that as the
x-value increases, Celsius, so does the y-value, Fahrenheit. The data also shows the R-squared value of 1, meaning that the data is linear and fits the model.
Degrees Celsius v. Temperature in Kelvin
30.0
31.0
32.0
33.0
34.0
35.0
36.0
37.0
38.0
301.0
302.0
303.0
304.0
305.0
306.0
307.0
308.0
309.0
310.0
311.0
f(x) = x + 273.15
R² = 1
Celsius v. Kelvin
Temperature in Degrees Celsius
Temperature in Kelvin
Figure 2.
The table above shows the relationship between the temperature in Lawrence, Kansas in degrees Celsius and the temperature in Kelvin. The x-axis represents degrees Celsius and the y-axis represents the temperature in Kelvin
The graph shows a direct proportional relationship between degrees Celsius and degrees Fahrenheit so as the temperature in degrees Celsius increases, so does the temperature in Kelvin. The data in this table also has an R-
squared value of 1, meaning that the data fits the linear model and is able to accuratley convert from one unit of temperature to the other.
Calculations and Discussion
What is an average value? Explain using the Celsius temperature data from the table.
An average value is all the data of a category in a table added up together and then divided by how many samples of data are on the table. For example, in the table under “Temperature C”, the values were added together and then divided by six because that is how many days the temperature was predicted for.
What does the standard deviation tell us about a data set? Explain using the Fahrenheit temperature data from the table.
Standard deviation tells us that how the data in the table relates to the mean. For example, by adding all the temperatures in Fahrenheit and then dividing them by the number of temperatures in Fahrenheit, which is 6. One should then
State the linear equation for one of your figures and complete the following sentence.
If we plug the temperature in units of Celsius
into the equation for the X
Variable, we can then solve algebraically for Fahrenheit
.
Using the Fahrenheit and Celsius linear equation, calculate the temperature in Fahrenheit when a temperature is measured at 43.5 C. Show your work.
° F
=
1.8
C
+
32
°
° C
=
43.5
°
° F
=
(
1.8
∗
43.5
°
)
+
32
°
° F
=
(
78.3
°
)
+
32
°
° F
=
110.3
°
Comment on the meaning of the value of R-squared in your figures
R-squared in my figures tells us how much the proportion of the dependent and the independent variable vary. The R-squared ranges from zero to one and in my figures, the R-squared is that of one, meaning that the data fits the model of the trendline.
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