Question

refer to the following table that represents the type of safety officer by select NY counties based on a random sample:

county Local police state trooper correction officer probation officer sheriff dept Albany 23 16 12 7 12

Columbia 15 32 8 2 10

Otsego 21 18 5 4 8

Erie 18 10 18 5 5 Perform an independence test to determine if the type of safety officer is dependent on the county assuming α = 2.5%. Which r value represents the weakest linear correlation between x and y? Select one: a. .36 b. .67 c. -.89 d. -.45 e. -.14 Which r value represents the strongest linear correlation between x and y? Select one: a. -.24 b. -.56 c. .65 d. -.12 e. .78

Answer 1

The r values closer to 0 represent weaker linear relationship between variables while the r values closer to 1 or -1 will represent stronger linear relationship between vairables

Weakest linear correlation

So a r value of -0.14 will have the weakest linear correlation between x and y becuase it is the closest r value to 0 among all the five options

So Answer is Option E

Strongest linear correlation

So a r value of 0.78 will have the strongest linear correlation between x and y becuase it is the closest r value to 1 or -1 among all the five options

So Answer is Option E