INTRODUCTION TO STATISTICS
MILESTONE 4 AND ANSWERS
Two bags each contain tickets numbered 1 to 10. John draws a
ticket from each bag five times, replacing the tickets after each
draw. He records the number on the ticket for each draw from
both the bags:
Bag 1Bag 2Draw 124Draw 245Draw 313Draw 464Draw 579
For the the first bag, the mean is 4 and the standard deviation
is 2.5.For the second bag, the mean is 5 and the standard
deviation is 2.3.
Using the formula below or Excel, find the correlation
coefficient, r, for this set of tickets John drew. Answer choices
are rounded to the nearest hundredth. - CORRECT ANSWER-
ANSWER IS: 0.75
For a set of data, x is the explanatory variable. Its mean is 8.2,
and its standard deviation is 1.92. For the same set of data, y is
the response variable. Its mean is 13.8, and its standard
deviation is 3.03. The correlation was found to be 0.223.
Select the correct slope and y-intercept for the least-squares
line. - CORRECT ANSWER-Slope = 0.35
y-intercept = 10.9
Jesse takes two data points from the weight and feed cost data
set to calculate a slope, or average rate of change. A hamster
weighs half a pound and costs $2 per week to feed, while a
Labrador Retriever weighs 62.5 pounds and costs $10 per
week to feed.
Using weight as the explanatory variable, what is the slope of a
line between these two points? Answer choices are rounded to
the nearest hundredth. - CORRECT ANSWER-$0.13 / lb.
