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Chapter 3: Q.17 (page 161)

Correlation blunders Each of the following statements contains an error. Explain what鈥檚 wrong in each case.

(a) 鈥淭here is a high correlation between the gender of American workers and their income.鈥�

(b) 鈥淲e found a high correlation (r=1.09) between students鈥� ratings of faculty teaching and ratings made by other faculty members.鈥�

(c) 鈥淭he correlation between planting rate and yield of corn was found to be r=0.23 产耻蝉丑别濒.鈥�

Short Answer

Expert verified

a). We need numerical data to calculate the linear correlation coefficient, however Gender does not accept numerical numbers.

b). The correlation, r,is bigger than1, it is not feasible.

c). Because bushels are a unit of measurement, the correlation cannot equal a specific number of bushels.

Step by step solution

01

Part (a) Step 1: Given Information 

There is a high correlation between the gender of American workers and their income.

02

Part (a) Step 2: Explanation 

We need numerical data to calculate the linear correlation coefficient, however Gender does not accept numerical numbers.

03

Part (b) Step 1: Given Information 

A high correlation isr=1.09.

04

Part (b) Step 2: Explanation 

Correlation is always a number between -1and 1

The correlation, r, is bigger than 1, It is not possible.

05

Part (c) Step 1: Given Information 

The correlation between planting rate and yield of corn was found to be r=0.23bushel.

06

Part (c) Step 2: Explanation

The correlation, r, there are no units related with it.

Because bushels are a unit of measurement, the correlation cannot equal a specific number of bushels.

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