1. Suppose we had the following contingency determined by the independent variab
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Question
1. Suppose we had the following contingency determined by the independent variable (gender), between the variables gender and region. What can we say about the proposed relationship between these two variables? table, expressed in percentages of the groups Region ort ast out 50 est 25 ender Male Female | 20% | 50% | 5% | 25% A There is a relationship between gender and region B There is no relationship between gender and region C There is a partial relationship between gender and region D We can not determine if there is a relationship between gender and region 2. Suppose we have data on coffee brand preferences (Dunkin vs. Starbucks) and amount of money spent on coffee. Further suppose we divide the population into two groups: Starbucks Drinkers and Dunkin Drinkers. We find that the standard deviation of money spent for the Dunkin drinkers is S5 while the standard deviation of money spent for the Starbucks drinkers is S10. The mean money spent for Starbucks Drinkers is S21 while the mean money spent for Dunkin Drinkers is S15. What can we conclude about the proposed relationship between coffee preference and money spent A There is a relationship between coffee brand and money spent. B There is no relationship between coffee brand and money spent. C There is a partial relationship between coffee brand and money spent. D We cannot determine if there is a relationship between coffee brand and money spent 3. Suppose we study a population and would like to determine if one's age determines one's spending levels on a yearly basis. When we split the population into different age groups, we happen to find that younger individuals cornprise of 30% females and 70% males while older individuals comprise of 40% males and 60% females. Which of the following statements is true in this scenario? A We cannot use one of our four methods of analysis to analyze the relationship between B We can use one of our four methods of analysis to analyze the relationship between age C The homogeneity assumption is satisfied, and hence we can conduct a direct comparison D The heterogeneity assumption is not satisfied, but we can still conduct a direct compar- age and spending and spending of income levels across groups ison 4. If the homogeneity and heterogeneity assumptions are satisfied across all groups, thenExplanation / Answer
1. Correct Answer- A- There is a relationship between gender and region.
2. Correct Answer- D- We cannot determine if there is a relationship between coffee brand and money spent. Only mean, standard deviation and sample size is not sufficient to determine the correlation among variables. Covariance is also required. The correlation is a particular measure of how they vary "together". Information like mean and standard deviation is how they each behave on their own, without any consideration of other variables.
3. Correct Answer- B- We can use one of our four methods of analysis to analyze the relationship between age and spending.
4. Correct Answer- C- All groups look the same and each individual group is comprised of multipile types of individuals. The reason being that homogenieity provides similarity between groups and heterogeniety provides variablity within groups. Overall all the groups are homogeneous and individual groups are having multiple types of individuals.
5. Correct Answer- C- There is a partial relationship between pictue and engagement type.
6. Correct Answer- B- -0.9841
7. Correct Answer- A- There is a relationship between liquor stores and home depot stock prize. The coeffecient of correlation is positive and significant. Although the correlation coeffecient is checked for its significance, in the given example, the coeffecient seems to be significant because its vaue is high, 0.992. The coeffecient of correlation ranges from +1.00 to -1.00. The higher correlation is, more chances for it being significant.
8. Correct Answer- D- We cannot determine if there is a relationship between compensation package and performance. Only mean, standard deviation and sample size is not sufficient to determine the correlation among variables. Covariance is also required. The correlation is a particular measure of how they vary "together". Information like mean and standard deviation is how they each behave on their own, without any consideration of other variables.
9. Correct Answer- A- There is a negative causal relationship between the two. The coeffecient of correlation obtained in this analysis has a negative direction which indicates that there exists a negative or inverse relationship between the two.
10. Correct Answer- A- A measure that represents the extent of how two variables are causally related. The reason is that in correlation the association among any two or more variables is studied. This relationship or association could be both linear and non-linear.
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