EXERCISE 1: We want to examine the relationship between the height of children and their parents: Studenth-,+Midparh+e W
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EXERCISE 1: We want to examine the relationship between the height of children and their parents: Studenth-,+Midparh+e W
Question 1 Give a precise and intuitive interpretation of the intercept and the slope estimated coefficients. Use the editor to format your answer Question 2 What would your interpretation of the slope coefficient have been if the model had been specified as follows? In Studenth)-18.6+0.75 Midparth metto format your answer Question 3 What would your interpretation of the slope coefficient have been if the model had been specified as follows? Anden)-18.00,75b (Madr 174 10 Points 5 Points s Points
In the next questions, you will use the initial model specification: Studenth=18.6+0.75Midparh (7.2) (0.10) (se) R2-0.45, Question 4 In order to construct a 90% interval estimate of what critical value would you use? (Please enter all decimals available) Blank 1 Blank 1 Add your answer 2 Points Question 5 What is the lower bound of a 90% interval estimate for ₂ (Please enter two decimals) LD-Blank 1 Blank 1 Add your answer 2 Points
Question 6 What is the upper bound of a 90% interval estimate for P₂? (Please enter two decimals) UB-Blank 1 Blank 1 Add your answer Question 7 What information does this interval give you? Explain Use the editor to format your answer Question 8 What is the prediction for the height of a child whose parents have an average height of 65 inches? Blank 1 inches Blank 1 Add your answer Question 9 2 Points 1 Point 5 Points 5 Points
Question 9 Given the positive intercept and the fact that the slope lies between zero and one, what can you say about the height of students who have quite tall parents? Those who have quite short parents? Use the editor to format your answer In the following five questions, we wish to test whether children, on average, are expected to be of the same height as their parents. This would imply two hypotheses, one for the slope and one for the intercept. Question 10. What would the null hypothesis be for the intercept coefficient? 5 Points D HP-18.6 3 Points
Question 11 Refer to the previous question. What would be the t-statistic associated with the intercept coefficient hypothesis? (Please enter two decimals) Blank 1 Blank 1 Add your answer Question 12 What would the Null hypothesis be for the slope coefficient? H₂₂<1 Ⓒ ⒸHF,-0.75 O #41 3 Points Questions Filter (29) . 2 Points
Question 13 Refer to the previous question. What would be the t-statistic associated with the slope coefficient hypothesis? (Please enter two decimals)Blank 1 Blank 1 Add your answer Question 14 Blank 1 Add your answer 3 Points At the 5% significance level and assuming that the tests are two-sided, what critical value would you use in these tests? Blank 1 True 2 Points Question 15 At the 5s significance level and assuming that the tests are two-sided, we statistically reject the fact children, un average, have the same height as their parents false 2. Points