Measurements of serum cholesterol (mg/100 ml) and arterial calcium deposition (mg/100 g dry weight of tissue) were made on twelve animals. The data are as follows: Calcium Cholesterol Calcium Cholesterol (X) (Y) (X) (Y) 62 292 44 271 47 309 29 233 42 231 67 289 64 290 61 298 21 236 40 260 20 237 23 239 (a) Construct a two-way scatter plot for these data. (b) Does there appear to be any evidence of a linear relationship between calcium and cholesterol levels? (c) Compute r, the Pearson correlation coefficient. (d) At the 0.05 level of significance, test the null hypothesis that the population correla- tion p is equal to 0. What do you conclude? (e) Calculate r, the Spearman rank correlation coefficient. (f) How does the value of rs compare to that of r? (g) Using rs, again test the null hypothesis that the population correlation is equal to 0. What do you conclude?

Suppose a researcher collects data on the bacterial contamination, measured in colony-forming unit per milliliter, for both upstream and downstream sections of 35 rivers. The data is plotted with upstream bacterial contamination on the horizontal axis and downstream bacterial contamination on the vertical axis. The Scioto River is an outlier in the ?y‑direction. What must be true about this river? The upstream bacterial contamination for this river is much higher or lower than the rest of the rivers in the data set. The downstream bacterial contamination for this river is much higher or lower than other rivers in the data set that have similar upstream bacterial contamination. This river is an influential observation. The downstream bacterial contamination for this river is much higher or much lower than the rest of the rivers in the data set. The absolute value of the residual of this river is large.

Water is poured into a large, cone-shaped cistern. The volume of water, measured in cm, is reported at Which of the following would linearize the data for volume and time? different time intervals, measured in seconds. The scatterplot of volume versus time showed a curved Seconds, cm3 O In(Seconds), cm3 Seconds, In(cm') pattern. O In(Seconds), In(cm³)

Please answer the question on the screenshot: