7. Following table shows ages of husband and wife of 53 married couples. Wife→ 15-25 25-35 35-45 45-55 55-65 65-75 Husband! 15-25 1 25-35 2 12 1 35-45 4 10 1 45-55 3 6. 55-65 2 4 65-75 1 Calculate the coefficient of correlation between the age of the husband and that of wife.
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- Suppose a friend of yours computes a correlation coefficient of +1.10 and comes to you for advice as to how to interpret it. What would you tell your friend?1. If someone owns an electric car it is represented by a one and if they don’t it is represented by a zero. If someone owns an electric car and their yearly salary in pounds for four people are (0,80000), (0, 17000), (0, 37000) and (1, 58000) calculate the correlation coefficient.A manager of a company wants to study the correlation between the amount of salary and the efficiency ratings of his employees. A random sample of 12 employees were selected and shows that the correlation coefficient r is 0.9512. It can be concluded that: There is a [a] correlation between the amount of salary and efficiency ratings – that means, an increase in the amount of salary is highly associated with the [b] in efficiency ratings. A. very high positive; decrease B. moderately high positive; decrease C. very high positive; increase D. moderately high positive; increase
- Suppose the Pearson correlation between X and Y is -0.4567. Now I create a new variable Z = 4 - 8*X, then what is the Pearson correlation between Z and Y?Suppose Z ~ N(0,1). What is the correlation between Z and |Z|1. If someone owns an electric car it is represented by a one and if they don’t it is represented by a zero. If someone owns an electric car and their yearly salary in pounds for four people are (0,80000), (0, 17000), (0, 37000) and (1, 58000) calculate the correlation coefficient.2. How might we interpret this result?
- What would be an example of an impossible correlation coefficient? In other words, give a value of r that would lead you to suspect that the researcher made a mistake.If there is a correlation between X and Y, and if X occurs before Y, it is possible that X causes Y or that the relation of X and Y is due to?For a correlation of -.64 between X and Y, each 1 _SD change in Zx corresponds to a predicted change of _____________SD in Zy.