Question

Q2: In an experiment, the power dissipated in a certain resistor needs to be determined by measuring the voltage and current. The measurements and their uncertainties are 110.2 V ±0.2 V and 5.3 A ±0.06 A, respectively. Calculate the power dissipated in the resistor and the uncertainty in the power. Which uncertainty has a greater influence on the final/power uncertainty? Q3: The resistance of a resistor is measured 10 times, and the values determined are: 100.0, 100.9, 99.3, 99.9, 100.1, 100.2, 99.9, 100.1, 100.0, and 100.5. Calculate: (a) Maximum deviation and average of the absolute values of the deviations. (b) Biased and unbiased standard deviations. Q4: Data for two variable x and y were collected from a certain experiment as given below \begin{tabular}{|c|c|c|c|c|c|} \hline x & 1 & 2 & 3 & 4 & 5 \\ \hline y & 1.9 & 9.3 & 21.5 & 42.0 & 115.7 \\ \hline \end{tabular} (a) Obtain y as a linear function of x using the least squares method. Find such a function using excel, displaying the graph along with the function and the residual ($R^2$). (b) If y is expected to be a quadratic function of x. Obtain this quadratic function (second order polynomial) by means of a graphical plot using excel with the residual ($R^2$) displayed.

          Q2: In an experiment, the power dissipated in a certain resistor needs to be determined by measuring the voltage and current. The measurements and their uncertainties are 110.2 V ±0.2 V and 5.3 A ±0.06 A, respectively. Calculate the power dissipated in the resistor and the uncertainty in the power. Which uncertainty has a greater influence on the final/power uncertainty?
Q3: The resistance of a resistor is measured 10 times, and the values determined are:
100.0, 100.9, 99.3, 99.9, 100.1, 100.2, 99.9, 100.1, 100.0, and 100.5. Calculate:
(a) Maximum deviation and average of the absolute values of the deviations.
(b) Biased and unbiased standard deviations.
Q4: Data for two variable x and y were collected from a certain experiment as given below
\begin{tabular}{|c|c|c|c|c|c|}
\hline
x & 1 & 2 & 3 & 4 & 5 \\
\hline
y & 1.9 & 9.3 & 21.5 & 42.0 & 115.7 \\
\hline
\end{tabular}
(a) Obtain y as a linear function of x using the least squares method. Find such a function using excel, displaying the graph along with the function and the residual ($R^2$).
(b) If y is expected to be a quadratic function of x. Obtain this quadratic function (second order polynomial) by means of a graphical plot using excel with the residual ($R^2$) displayed.

Q2: In an experiment, the power dissipated in a certain resistor needs to be determined by measuring the voltage and current. The measurements and their uncertainties are 110.2 V ±0.2 V and 5.3 A ±0.06 A, respectively. Calculate the power dissipated in the resistor and the uncertainty in the power. Which uncertainty has a greater influence on the final/power uncertainty?
Q3: The resistance of a resistor is measured 10 times, and the values determined are:
100.0, 100.9, 99.3, 99.9, 100.1, 100.2, 99.9, 100.1, 100.0, and 100.5. Calculate:
(a) Maximum deviation and average of the absolute values of the deviations.
(b) Biased and unbiased standard deviations.
Q4: Data for two variable x and y were collected from a certain experiment as given below

x 1 2 3 4 5

y 1.9 9.3 21.5 42.0 115.7

(a) Obtain y as a linear function of x using the least squares method. Find such a function using excel, displaying the graph along with the function and the residual (R^2).
(b) If y is expected to be a quadratic function of x. Obtain this quadratic function (second order polynomial) by means of a graphical plot using excel with the residual (R^2) displayed.

Added by Danielle S.

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