6. Practical Skills
Data Analysis — Quiz
Test your understanding of data analysis with 5 practice questions.
Practice Questions
Question 1
A student is analyzing a set of experimental data and plots a graph. The data points appear to follow an exponential trend, and the student decides to fit an exponential curve of the form $y = Ae^{Bx}$ using a spreadsheet. After fitting, the spreadsheet provides the values $A = 2.5$ and $B = 0.8$. What is the predicted value of $y$ when $x = 2$?
Question 2
A student uses a spreadsheet to fit a power-law curve to experimental data. The curve is of the form $y = Cx^D$. The spreadsheet provides $C = 1.5$ and $D = 2.0$. What is the predicted value of $y$ when $x = 3$?
Question 3
A student is analyzing data and fits a line using a spreadsheet. The spreadsheet provides the equation of the best-fit line as $y = 2x + 1$. The student wants to calculate the residual for a data point at $x = 5$ with an actual measured $y$ value of $12$. What is the correct residual for this data point?
Question 4
A student is analyzing experimental data and fits a straight line using a spreadsheet. The line equation is given as $y = -1.2x + 4.5$. The student wants to find the $x$-value when $y = 0$. What is the correct value of $x$?
Question 5
A student is using a spreadsheet to fit a quadratic curve of the form $y = ax^2 + bx + c$ to experimental data. The spreadsheet provides $a = 0.5$, $b = -1.0$, and $c = 2.0$. What is the predicted value of $y$ when $x = 4$?