For Questions 5-9, refer to the following: A study was conducted using 52 Cathol

Question

For Questions 5-9, refer to the following: A study was conducted using 52 Catholic female 9) Given your response to Question 8, what is the P-value (or a range for the P-value) associated with the test statistic for the population correlation? Would you reject the null hypothesis with an alpha of 0.05? undergraduates at Texas A&M; University. The variables measured refer to the parents of these students. The response variable is the number of children that the parents have One of the explanatory variables is the mother's educational level, measured as the number of years of formal education. For these data, -9.88, s3.77,-3.35, sy- 2.19, the prediction equation is 540-0.207x, the standard error of the slope estimate (se is 0.079, and SSE 201.95. P-value Reject null hypothesis? 5) Using the formula r b, find the correlation (r) and interpret its value with respect to direction, strength of linear association, and standardized slope 10) You are conducting a study that examines causes of poor health among adults. You find a positive association between years of completed education and self-reported health (adults wth more years of education report better health). However, you suspect that this might not be a direct association, but rather that years of education influences one's income level, which in turn influences one's health. If your suspicion is true, the multivariate relationship between years of education, income level, and health would be of what type? Refer to one of the five types of multivariate relationships we discussed in class (also in Chapter 10.3 of the textbook). 6) Test the null hypothesis that the population slope 0, and report the P-value (or a range for the P-value). Would you reject the null hypothesis with an alpha of 0.05? Does there appear to be a linear relationship in the population between years of education and number of children? Ho: Ht f statistic: p-value Reject null hypothesis? Is there a Nnear relationship in the population between years of education and number of children? 7) What is the 95% confidenco interval for ß, and how would you interpret this confidence nterval? 8) Test the null hypothesis that the population correlation 0. What are the null and alternative hypotheses? Calculate the ttest statistic. You can use the estimate for the correlation (r) that you came up with in Question 5. In the bivariate case (when you have one x variable), the test statistic for ? should be equal (plus or minus rounding orror) to the test statistic for what other parameter? Ho: fstatistic: Test statistic for ? should be equal (plus or minus rounding error) to the test statistic for what other parameter?

Explanation / Answer

Solution5:

correlation coefficient =r=Sx/Sy*b=3.77/2.19*(-0.207)=-0.36

r=-0.34

there exists a negative relationship between number of children that the parents have and mothers education level.

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