HELP ME SO I DON’T FAIL! A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a
plant (in inches) over time (in days). The residual plots for each set are shown. Based on the residuals, which data set is best fit by the regression line?
A. Data set A
B. Data set B
C. Data set C
A. Data set A
B. Data set B
C. Data set C
2 answers:
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Answer:
The interval [32.6 cm, 45.8 cm]
Step-by-step explanation:
According with the <em>68–95–99.7 rule for the Normal distribution:</em> If is the mean of the distribution and s the standard deviation, around 68% of the data must fall in the interval
around 95% of the data must fall in the interval
around 99.7% of the data must fall in the interval
So, the range of lengths that covers almost all the data (99.7%) is the interval
[39.2 - 3*2.2, 39.2 + 3*2.2] = [32.6, 45.8]
<em>This means that if we measure the upper arm length of a male over 20 years old in the United States, the probability that the length is between 32.6 cm and 45.8 cm is 99.7%</em>