A study was done to look at the relationship between number ofmovies people watch at the theater each year and the number ofbooks that they read each year. The results of the survey are shownbelow.

Movies	4	2	9	7	4	8	6	1
Books	0	6	0	0	0	0	0	6

1. Find the correlation coefficient:r=r=    Round to 2 decimal places.
2. The null and alternative hypotheses for correlation are:
   H0:H0: ? μ ρ r  == 0
   H1:H1: ? ρ μ r   ≠≠ 0
   The p-value is:      Round to 4 decimalplaces.
   
   
   
   
   
3. Use a level of significance of α=0.05α=0.05 to state theconclusion of the hypothesis test in the context of the study.
   • There is statistically significant evidence to conclude that aperson who watches more movies will read fewer books than a personwho watches fewer movies.
   • There is statistically significant evidence to conclude that aperson who watches fewer movies will read fewer books than a personwho watches fewer movies.
   • There is statistically insignificant evidence to conclude thatthere is a correlation between the number of movies watched peryear and the number of books read per year. Thus, the use of theregression line is not appropriate.
   • There is statistically significant evidence to conclude thatthere is a correlation between the number of movies watched peryear and the number of books read per year. Thus, the regressionline is useful.
4. r2r2 =  (Round to two decimal places)
5. Interpret r2r2 :
   • There is a large variation in the number books people read eachyear, but if you only look at people who watch a fixed number ofmovies each year, this variation on average is reduced by 62%.
   • Given any fixed number of movies watched per year, 62% of thepopulation reads the predicted number of books per year.
   • There is a 62% chance that the regression line will be a goodpredictor for the number of books people read based on the numberof movies they watch each year.
   • 62% of all people watch about the same number of movies as theyread books each year.
6. The equation of the linear regression line is:  
   ˆyy^ =   + xx    (Please show youranswers to two decimal places)
   
   
   
   
   
7. Use the model to predict the number of books read per year forsomeone who watches 2 movies per year.
   Books per year =  (Please round your answer to thenearest whole number.)
   
   
   
   
   
8. Interpret the slope of the regression line in the context ofthe question:
   • For every additional movie that people watch each year, theretends to be an average decrease of 0.76 books read.
   • As x goes up, y goes down.
   • The slope has no practical meaning since people cannot read anegative number of books.
   
   
   
   
   
   
9. Interpret the y-intercept in the context of the question:
   • The average number of books read per year is predicted to be 5books.
   • The best prediction for a person who doesn't watch any moviesis that they will read 5 books each year.
   • The y-intercept has no practical meaning for this study.
   • If someone watches 0 movies per year, then that person willread 5 books this year.