For each of the following variables indicate whether you would expect a positive correlation, a negative correlation, or no correlation.

(a) Maximum daily temperature and cooling costs(b) Interest rate and number of loan applications(c) incomes of husbands and wives when both have full time jobs(d) height and IQ(e) height and shoe size(f) score on the math section of the SAT exam and score on the verbal section of the same test(g) the time spent on homework and time spent watching television during the day by elementary school children(h) amount of fertilizer used per acre and crop yield

Respuesta :

Answer:

a) positive correlation: the higher the daily temperature the higher the cooling cost

b) negative correlation: interest rate will gradually reduce over time with increasing number of loan applications from and individual provided the individual met the necessary terms for the previous loans

c) positive corellation: husbands and wives income will increase with a more stable full time job.

d) no correlation: no correlation exist between heights of individuals and their IQ

e) positive correlation: tall individuals statistically have larger feet when compared to shorter individuals, this translates to bigger shoe sizes for taller folks

f) no correlation: an individual doing well in SAT maths does not say anything about how well they will perform in the verbal reasoning section. Different students have different strength and weaknesses for different subjects.

g) negative correlation: the longer the time spent doing homework during the day, the shorter the time available for watching TV during the day for elementary school students.

h) positive correlation: the more the fertilizers applied to a farmland the more the expected yield. provided harmful level of application is not reached.

The correlations are:

  • a) positive.
  • b) negative.
  • c) no correlation.
  • d) no correlation.
  • e) positive correlation.
  • f) no correlation.
  • g) negative correlation.
  • h) positive correlation.

How to identify the type of correlation?

For two related variables x and y, a positive correlation means that if one of the variables increases, also does the other. While a negative correlation means that if one of the variables increases, the other decreases.

Let's analyze each option.

a) If the maximum temperature increases, you need to use more energy in cooling, so the cost of cooling increases. This is a positive correlation.

b) Interest rate will decrease if the number of loan applications increases, so this is a negative correlation.

c) There is no correlation in these two variables.

d) There is no correlation in these two variables.

e) You can assume that larger people usually have larger feet, so this is a positive correlation.

f) There is no correlation, as these are different topics.

g) The more time spent in homework, there is less time that you can spend watching tv, so this is a negative correlation.

h) The more fertilizer you use, the larger yield you will see, so this is a positive correlation.

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