Question: For statistics class project, a student examined the relationship between the followig two variables: body weight (in lbs, x) and time to chug a legal
For statistics class project, a student examined the relationship between the followig two variables: body weight (in lbs, x) and time to chug a legal 12 oz beverage (in seconds, y). After analyzing the data, which contained 13 observations, the correlation coefficient was calculated to be r=-0.7879. Based on this information, answer the questions below.
1. Based on the value of r, the trend is that as a persons weight increases, the time it takes to chug the beverage
A: increases
B: decreases
2. One method for finding critical values other than using the t-table is to use the r-table. What is the critical value of R assuming a=0.05:
A:0.576
B: 0.684
C: 0.532
D: 0.553
3. Is a correlation coefficient of r=-0.7879 significant? If yes, why?
4. The regression equation for this data is y=-0.037x+14.250. Use the regression equation to estimate the "chug time" for someone who weighs 190 lbs.
A: 7.2
B: 8
C: unable to answer
5. The heaviest person used in this data set was 240 lbs. Is it wise to estimate the "chug time" for someone who weighs 275 lbs? If yes, explain why.
6. Find the coefficient of determination to 3 decimal places.
A: -0.621
B: 0.621
7. Complete the sentence: Based on this data, ________% of the variation in "chug time" is explained by the relationship it has to the persons weight.
A: 0.621
B: 62.1
C: 0.379
D:37.9
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