Find the correlation coefficient of the data

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1. Suppose that you are given the following results. Find the correlation coefficient of the data:

sx = 9.697,   sy = 16.100,   b = 1.310

2. The decline of salmon fisheries along the Columbia River in Oregon has caused great concern among commercial and recreational fishermen. The paper 'Feeding of Predaceous Fishes on Out-Migrating Juvenile Salmonids in John Day Reservoir, Columbia River' (Trans. Amer. Fisheries Soc. (1991: 405-420)) gave the accompanying data on y = maximum size of salmonids consumed by a northern squaw fish (the most abundant salmonid predator) and x = squawfish length, both in mm. Use the following statistics to give the equation of the least squares regression line.

x = 525.060,   y = 319.607,   sx = 17.908,   sy = 14.300,   r = 0.9768

3. Which of the following is a true statement?

a) The variable that is being predicted in regression analysis is the independent variable.

b) If there is no correlation between the independent and dependent variables, then the value of the correlation coefficient must be 0.

c) A negative correlation indicates that as values of x decrease, values of y will decrease.

d) The correlation coefficient r is always greater than 1.

e) The coefficient of determination can assume negative values.

f) None of the above

Reference no: EM131429682

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