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researchers sync and smith reported a significant correlation between children\'

ID: 3209502 • Letter: R

Question

researchers sync and smith reported a significant correlation between children's reading level and intelligence measured as an IQ score (r=.23). The same researchers reported that the correlation between math ability and knowledge of social studies was not significant (r=.15). Explain these results as if you were writing to a person who has never had a course in statistics. Be sure to discuss a) significance b) the direction and strength of the relationship c) causality and d) r2(squared) where applicable. researchers sync and smith reported a significant correlation between children's reading level and intelligence measured as an IQ score (r=.23). The same researchers reported that the correlation between math ability and knowledge of social studies was not significant (r=.15). Explain these results as if you were writing to a person who has never had a course in statistics. Be sure to discuss a) significance b) the direction and strength of the relationship c) causality and d) r2(squared) where applicable. researchers sync and smith reported a significant correlation between children's reading level and intelligence measured as an IQ score (r=.23). The same researchers reported that the correlation between math ability and knowledge of social studies was not significant (r=.15). Explain these results as if you were writing to a person who has never had a course in statistics. Be sure to discuss a) significance b) the direction and strength of the relationship c) causality and d) r2(squared) where applicable.

Explanation / Answer

Anwser

a) Significance:- This tell how unlikely given correlation coefficient ,r, will occur given no relationship in the population.

(i.e. researchers sync and smith reported a significant correlation between children's reading level and intelligence measured as an IQ score (r=.23) ,there is no relationship in children's reading level and intelligence)

(and  researchers reported that the correlation between math ability and knowledge of social studies was not significant (r=.15), there is positively relationship between both math ability and knowledge of social studies )

b) A correlation coefficient describes direction (positive or negative) and degree (strength) of relationship between two variables.(see above)

c) causality:- Indicates a relationship between two events where one event is affected by the other.

Here, children's reading level and intelligence are indiactes causality by researchers sync and smith and math ability and knowledge of social studies are not indiactes causality by  same researchers.

d) If you aren’t fitting a linear model, you shouldn’t use it also R-squared tends to be uniformly high for both very bad and very good models.