# 1) The highway mileage (mpg) for a sample of 8 different models of a car company…

1) The highway mileage (mpg) for a sample of 8 different models
of a car company can be found below.

17, 21, 23, 26, 36, 29, 33, 36

Find the 5-number summary, check for any outliers using fences, and
create a boxplot.

of your work for all the questions in this problem.
2)
A regression was run to determine if there is a relationship
between the happiness index (y) and life expectancy in years of a
given country (x).

The results of the regression were:
ˆyy^=a+bx
a=-1.148
b=0.065

(a) Write the equation of the Least Squares Regression line of the
form

y^= + x

(b) Which is a possible value for the correlation coefficient,
rr?

0.807
1.247
-0.807
-1.247

(c) If a country increases its life expectancy, the happiness index
will

increase
decrease

(d) If the life expectancy is increased by 4.5 years in a certain
country, how much will the happiness index change? Round to two
decimal places.

(e) Use the regression line to predict the happiness index of a
country with a life expectancy of 67 years. Round to two decimal
places.