Questions: Enrollment of graduate students in ASU's Digital Immersion program has been growing over the years. The following table shows specific enrollment data. Years since 2010 (t) Number of graduate students enrolled (in thousands) (N) ------ 3 2.933 5 5.012 8 9.021 12 15.872 13 16.752 a. Are the quantities related by a constant rate of change? Explain your reasoning. b. Plot the data on a graph using Desmos. Describe what the data looks like. c. Use Desmos to create the Linear Regression model for the data given in this problem. i. State the model here: ii. Identify the constant rate of change and explain its meaning in the problem context. iii. Identify the reference point and explain its meaning in the problem context. iv. Use the model to predict enrolment in 2030.

Transcript text: Enrollment of graduate students in ASU's Digital Immersion program has been growing over the years. The following table shows specific enrollment data. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Years since \\ 2010 \\ $t$ \end{tabular} & \begin{tabular}{c} Number of graduate \\ students enrolled (in \\ thousands) \\ $N$ \end{tabular} \\ \hline 3 & 2.933 \\ \hline 5 & 5.012 \\ \hline 8 & 9.021 \\ \hline 12 & 15.872 \\ \hline 13 & 16.752 \\ \hline \end{tabular} a. Are the quantities related by a constant rate of change? Explain your reasoning. b. Plot the data on a graph using Desmos. Describe what the data looks like. c. Use Desmos to create the Linear Regression model for the data given in this problem. i. State the model here: $\qquad$ ii. Identify the constant rate of change and explain its meaning in the problem context. iii. Identify the reference point and explain its meaning in the problem context. iv. Use the model to predict enrolment in 2030.