Question: For a statistics class project at a large northeastern university, a student examined the relationshipbetween the following two variables:body weight (in pounds, x) and time
For a statistics class project at a large northeastern university, a student examined the relationshipbetween the following two variables:body weight (in pounds, 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.
Answer each question below.
Question 1:Based on the value of r, the trend is that as a person's weight increases, the time to chug a legal 12-oz. beverage
Select one below:
decreases
or
increases
Question 2:Using the table provided, find the critical value of r assuming=0.05
Critical value:
Select from below:
0.576
0.532
0.553
0.684
Question 3:Based on your previous result, is the correlation significant?
select one below:
Yes, because it is close to -1.
No, because |r| is less than the critical value.
Yes, because |r| is greater than the critical value.
Question 4:The regression equation for this data is = -0.037x + 14.250. Use the regression equation to estimate the "chug time" for someone who weighs 190 pounds. Round your answer to the nearest whole tenth.
Select one:
7.2
or
8
or
Not able to answer.
Question 5:The heaviest person used in this data set was 240 pounds. Is it wise to estimate the "chug time" for someone who weighs 275 pounds?
Select one:
No because 275 is well outside the data range.
or
Yes, it is a possible weight.
or
Yes since substituting into the regression equation gives an answer that makes sense.
Question 6: Find the coefficient of determination to 3 decimal places:
Select one:
0.621
or
-0.621
Question 7: Complete the sentence: Based on this data,
Select One:
0.379
or
37.9
or
62.1
or
0.621
% of the variation in "chug time" is explained by the relationship it has to the person's weight. (The number in the blank should be given to the nearest tenth.)
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