Question

We think of DNA as the stuff that stores the genetic code. It turns out that DNA occurs, mainly outside living cells, on the ocean floor. It is important in nourishing seafloor life. Scientists think that this DNA comes from organic matter that settles to the bottom from the top layers of the ocean. "Phytopigments," which come mainly from algae, are a measure of the amount of organic matter that has settled to the bottom. The table contains data on concentrations of DNA and phytopigments in grams per square meter in 116 ocean locations around the world. Examine the relationship between DNA and phytopigments.

DNA and phytopigment concentrations (g/m²) on the ocean floor

DNA	Phyto	DNA	Phyto	DNA	Phyto	DNA	Phyto	DNA	Phyto	DNA	Phyto
0.148	0.010	0.276	0.056	0.156	0.032	0.300	0.022	0.344	0.009	0.090	0.003
0.108	0.009	0.214	0.023	0.112	0.016	0.116	0.008	0.464	0.030	0.206	0.001
0.180	0.008	0.330	0.016	0.280	0.005	0.120	0.004	0.538	0.055	0.307	0.001
0.218	0.006	0.240	0.007	0.308	0.005	0.064	0.006	0.153	0.001	0.552	0.040
0.152	0.006	0.100	0.006	0.238	0.011	0.228	0.010	0.095	0	0.168	0.005
0.589	0.050	0.463	0.038	0.461	0.034	0.333	0.020	0.901	0.075	0.112	0.003
0.357	0.023	0.382	0.032	0.414	0.034	0.241	0.012	0.116	0.003	0.179	0.002
0.458	0.036	0.396	0.033	0.307	0.018	0.236	0.002	0.132	0.005	0.264	0.026
0.076	0.001	0.001	0.002	0.009	0	0.099	0	0.302	0.014	1.056	0.082
0.187	0.001	0.104	0.004	0.088	0.009	0.072	0.002	0.360	0.010	0.207	0.001
0.192	0.005	0.152	0.028	0.152	0.006	0.272	0.004	0.296	0.010	0.131	0.001
0.288	0.046	0.232	0.006	0.368	0.003	0.216	0.011	0.130	0.001	0.822	0.058
0.248	0.006	0.280	0.002	0.336	0.062	0.320	0.006	0.172	0.001	0.172	0.006
0.896	0.055	0.200	0.017	0.408	0.018	0.472	0.017	0.171	0.001	0.100	0.001
0.648	0.034	0.384	0.008	0.440	0.042	0.592	0.032	0.391	0.026	0.168	0.001
0.392	0.036	0.312	0.002	0.312	0.003	0.208	0.110	0.074	0	0.213	0.007
0.128	0.001	0.264	0.001	0.264	0.008	0.328	0.010	0.121	0.004
0.264	0.002	0.376	0.003	0.288	0.001	0.208	0.024	0.369	0.023
0.224	0.017	0.376	0.010	0.600	0.024	0.168	0.014	0.184	0.010
0.264	0.018	0.152	0.101	0.184	0.016	0.312	0.017	0.328	0.028

SOLVE: Use software of your choice to make a scatterplot using the data. Then find the ?‑intercept, ?,and the slope, ? for the least‑squares regression line. (Enter your answers rounded to four decimal places.)

?=

?=

Find the square of the correlation. (Enter your answer rounded to three decimal places.)

?2=

Answer 1