Question

For this exercise, round all regression parameters to three decimal places.

One of the two tables below shows data that are better approximated with a linear function, and the other shows data that are better approximated with an exponential function. Make plots to identify which is which.

t f(t) 1 3.62 2 23.01 3 44.26 4 62.17 5 83.25 Table A

t g(t) 1 3.62 2 5.63 3 8.83 4 13.62 5 21.22 Table B

Select the plot for the data in Table A.

Select the plot for the data in Table B.

Use the appropriate regression to find models for both.
Table A:

f = 4.319t − 2.373

f = 19.842t − 16.264

    

f = 10.224t + 1.536

f = −19.842t − 102.788

f = −4.319t + 23.541

Table B:

g = 3.620 × 1.203^t

g = 33.048 × 0.643^t

    

g = 2.330 × 1.556^t

g = 23.541 × 4.319^t

g = 10.584 × 0.792^t

Answer 1

f = 19.842t − 16.264

g = 2.330 × 1.556t