7.Nine students held their breath, once after breathing normally and relaxing fo
ID: 3071252 • Letter: 7
Question
7.Nine students held their breath, once after breathing normally and relaxing for one minute, and once after hyperventilating for one minute. The figure below shows the relationship between these two variables with time after normal breathing set as the explanatory variable. Relevant summary statistics are provided in the table below and the scatterplot is provided
Mean Standard deviation
Hyperventilating 78.1 26.1
Normal breathing 53.7 18.2
The correlation (r) is 0.96.
Use the information provided above to answer the following questions.
Describe the relationship.
What is the slope for this relationship?
What is the y-intercept for this relationship?
What is the regression line for this relationship?
Explanation / Answer
A)
since, the correlation r=0.96 is closer to 1
it means there is strong positive association between the two.
B)
slope,b = r *(Sy/Sx)
=0.96* (26.1 / 18.2)
=1.377
C)
Y-intercept,a = (mean of y) - slope * (mean of X)
Y-intercept = 78.1 - 1.377*53.7
=4.155
D)
regression equation
Y cap =a+bx
ycap=4.115 + 1.377*x
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