Practice Quiz 3 Problem 6 Regression he number of steps walked per day the BMI Y

Question

Practice Quiz 3 Problem 6 Regression he number of steps walked per day the BMI Your colleagues have collected some data on the relationship between t (body mass index: a summary of obesity). two variables. Your job is to analyze the data to see if there is a relationship between these Fill out the rest of this ANOVA table with numbers (cells to fill out are shaded) Sum of Squares Degrees of Freedomm P-value Source Mean Square F Statistic Model 36 (6.11 (6.5) (6.6) 6.3) (6.2) Error Total(6.4) 41 6.7 How many observations are there in the data set? 6.8 Which test statistic do we use as a general test for model significance in this case? (circle one) MS Model MS Error 6.9 What is the critical value of the test statistic for = 0.05. 6.10 Can you reject the null hypothesis that there is no relationship between steps walked and BMI? 6.11 What is the value of the t-statistic for testing: 6.12 How many degrees of freedom would the t-statistic have for this hypothesis test?

Explanation / Answer

Solution

6.7) df total = 41

so n = 41+1 = 42

6.8) F statistic = MS model/MS error

6.9) F critical value : F0.05,1,40 = 4.085

6.10) F statistic = MS model : 36

MS error : 6

F = 36/6 = 6

Reject the null hypothesis

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