What is the best test to analyze this data? + the rest pictured 1. The accompany

Question

What is the best test to analyze this data? + the rest pictured

1. The accompanying data give the weights of the tirstborn and secondborn infants tor 10 sets of twins. Is the weight of a firstborn twin an indicator of the weight of the secondborn twin? Use the first born as the explanatory variable and Twin B as the response variable Firstborn Secondborn 5.56 5.68 5.81 7.56 5.5 5.81 7.56 4.44 4.88 4.68 5.94 5.18 6.43 4.31 5.7 7.37 5.56 5.87 4.68 5.56 a. What is the best test to analyze this data? Explain why this is the most appropriate test. b. Write the conceptual null and alternative hypotheses for your test. c. Plot your data. Does it meet the assumptions for your test? Provide any relevant plots. d. Provide the correct statistics to summarize the relationship between these two variables. e. What conclusions (statistical and biological) can you draw from this data and your analysis? f. What should you do to evaluate how well your model fits the data? How well does it seem to fit? Justify your conclusion. g. Can you predict the weight of the second born twin if the weight of the firstborn is 5.2? If so, what would you expect (with a 95% confidence interval)? If not, why can't this prediction be made 2. Below is a ANOVA table of a linear regression model Source Regression Residual Total df MS 91.43 65.78 32 a. Fill in the missing values for the ANOVA table b. Write the hypotheses to test whether the overall model is significant. c. Perform the test at the 0.05 level of significance. What can you conclude?

Explanation / Answer

2. a) From missing value table,

b) H0: There is no significant overall the model

H1: There is significant overall the model

c) P-value < alpha 0.05, we reject H0 i.e. there is significant the overall model

Source df Sum of square mean Square F-ratio F-critical P-value Regression 1 91.43 91.43 43.0880207 4.159615 2.4914E-07 Error 31 65.78 2.121935484 Total 32 157.21

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