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A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books

A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below.

Movies 6 1 4 0 10 3 8 9 10
Books 10 9 10 14 6 10 7 4 7

  1. Find the correlation coefficient: r=r= Round to 2 decimal places.
  2. The null and alternative hypotheses for correlation are: H0:H0: ? r == 0 H1:H1: ? r 0 The p-value is: Round to 4 decimal places.
  3. Use a level of significance of=0.05=0.05to state the conclusion of the hypothesis test in the context of the study.
  4. r2r2= (Round to two decimal places)
    • There is statistically significant evidence to conclude that a person who watches more movies will read fewer books than a person who watches fewer movies.
    • There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer movies.
    • There is statistically significant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the regression line is useful.
    • There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate.
  5. Interpretr2r2:
  6. The equation of the linear regression line is: yy^ = + xx (Please show your answers to two decimal places)
  7. Use the model to predict the number of books read per year for someone who watches 8 movies per year. Books per year = (Please round your answer to the nearest whole number.)
  8. Interpret the slope of the regression line in the context of the question:
  9. Interpret the y-intercept in the context of the question:
    • The y-intercept has no practical meaning for this study.
    • The average number of books read per year is predicted to be 12 books.
    • The best prediction for a person who doesn't watch any movies is that they will read 12 books each year.

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