Question

The following are the weight​ (in grams) and quantity of volatile emissions​ (in hundreds of​ nanograms) for plants. A scatterplot of the data is given to the right.													4060801000102030xy A scatterplot has a horizontal x-axis labeled from 40 to 100 in increments of 5 and a vertical y-axis labeled from 0 to 30 in increments of 2. The following points are plotted: (53, 11.5); (52, 22.0); (55, 8.5); (57, 11.0); (61, 7.0); (63, 22.5); (68, 12.0); (79, 17.5); (81, 14.0); (86, 21.0). The points are loosely clustered around a line that generally rises from left to right. All coordinates are approximate.
Weight​ (x)	55	86	57	63	53	68	61	81	79	52
Quantity​ (y)	8.5.	21.0	11.0	22.5	11.5	12.0	7.0	14.0	17.5	22.0

a. Obtain the linear correlation coefficient.

b. Interpret the value of r in terms of the linear relationship between the two variables.

c. Discuss the graphical interpretation of the value of r.

d. Obtain the value of the coefficient of determination by squaring r.

a.

requals=4.44.4

​(Round to three decimal places as​ needed.)b. There is

a strong positive linear association

between the two variables. c. The given graph is

consistent

with the interpretation found in part​ (b), because the​ y-values appear to

increase

as the​ x-values increase, and the data points appear

▼

d.

rsquared2equals=nothing

​(Round to three decimal places as​ needed.)

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Answer 1

a)

b) There is positive relationship between two variables.

c)d)