Please help with the following. It is ok to solve using Python.

PROBLEM 6. Five friends try a new health club to try to lose weight. They record how many pounds each lost and the number of weeks it took. Assume there is a linear relationship between the pounds lost and the number of weeks. What is the slope of the regression line? What is its y-intercept? Generate a scatter graph of the data and the regression line.

Friend #:	1	2	3	4	5
Weeks:	3	2	1	4	5
Pounds:	6	5	4	9	11

PROBLEM 7. Use the data from Problem 6. Calculate and print:

• the variation in the pounds lost that cannot be explained by the weeks on the diet
• the total variation in the pounds lost
• the percentage of variation that is explained by the weeks on the diet
• the correlation coefficient

PROBLEM 8. The table below shows annual snowfall. Generate a time series graph and plot the linear trend.

Year	Snowfall
1993	9.9
1994	22.2
1995	11.4
1996	14.8
1997	19.7
1998	14.9
1999	15.9
2000	13.4
2001	12.0
2002	7.9
2003	12.9
2004	16.8
2005	11.6
2006	14.9
2007	13.3
2008	20.2
2009	14.3
2010	20.4
2011	13.0
2012	10.0
2013	15.9
2014	17.4
2015	18.7
2016	14.3
2017	16.2
2018	21.1

PROBLEM 9. Using the table from Problem 8, plot the 3- and 5-year moving averages.

PROBLEM 10. Using the table from Problem 8, exponentially smooth the data using alpha values 0.3 and 0.1