Speed (Mile/Hour)MPG(Mile/Gallo)

3028

5025

4025

5523

3030

2532

6021

2535

5026

5525

A study on driving speed (miles per hour) and fuel efficiency (MPG: miles per gallon) for midsize automobiles resulted in the data listed.

1.Which variable is the dependent variable?

Speed or MPG

2.Which variable is the independent variable?

Speed or MPG

3. How to construct a scatter diagram in Excel with dependent variable on the vertical axis (Y) and the independent variable on the horizontal axis (x). Please label the chart and the axis.

4.What does the plot show about the relationship between the two variables? If yes, positive, or negative? Weak or strong?

5.Compute the correlation of coefficient of the two variables.

6.What can you say about the linear relationship of the two variables based on the correlation coefficient?

Bayer's Theorem

The National Center for Health Statistics, housed within the U>S. Centers for Disease Control and Prevention (CDC), tracks the number in the US who have health insurance.According to this agency, the uninsured rates for people in the US in 2018 are as follows: 5.1% of those under the age of 18, 12.4% of those ages 18-64, and 1.1% of those 65 and older do not have health insurgence (CDC website).

Approximately 22.8% of Americans are under age 18, and 61.4% are ages 18 to 64.

Let

A= American age 65 or older

NA=American under age 65

1.What is the probability that a randomly selected person in the US is 65 or older?

p(A) =

2.What is the probability that a randomly selected person in the US is under 65 years old?

P(NA)=

3.For a random selected person 65 or older, what is the probability that this person is uninsured?

p(U |A )=(This is given in the problem description)

4.For a random selected person under 65, what is the probability that this person is uninsured?

p( U|NA)= (You can figure this out using the info given in the problem description) This group includes under 18 and 18 to 64

5.Given that the person in the US is uninsured, what is the probability that the person is 65 or older? p(A| U)=(hint: Use Bayer's Theorem)