Q.4.154 - Elementary Statistics

Question

Birdies and Score. The data from Exercise 4.70 for number of birdies during a tournament and final score for $63$ women golfers are on the WeissStats site.

a. decide whether use of the linear correlation coefficient as a descriptive measure for the data is appropriate, If so, then also do parts (b) and (c).

b. obtain the linear correlation coefficient.

c. interpret the value of $r$ in terms of the linear relationship between the two variables in question.

Step-by-Step Solution

Answer

a).  As a descriptive metric of data, we used the linear correlation coefficient.

b). The linear correlation co-efficient $r=-0.472$.

c). The inversely proportionate relationship between the two variable numbers of Birdies and their scores is indicated by the negative linear correlation coefficient.

Part (a) Step 1 : Given Information

The WeissStats website has the amount of birdies made during an event and the final score for $63$ female golfers.

Part (a) Step 2: Explanation

Draw a scatter plot of the brides' scores.

As observed in the scatter plot, the data points are distributed along a line.

As a consequence, as a data descriptive metric, we picked the linear correlation coefficient.

Part (b) Step 1: Given Information

Take a look at the table of brides' data and their ratings from exercise $4.70$.

Part (b) Step 2: Explanation

Any approach may be used to find the correlation coefficient. When we enter the brides and their scores, we get the outcome.

Hence,

The linear correlation coefficient $=-0.472$.

Part (c) Step 1: Given Information

Take a look at the table of brides' data and their ratings from exercise  $4.70$.

Part (c) Step 2: Explanation

The linear correlation co-efficient $r=-0.472$.

The negative linear correlation coefficient indicates an inversely proportional association between the two variables, the number of Birdies and their scores.