year. Thus, the use of the regression line is not appropriate. 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. d. r2 = (Round to two decimal places) e. Interpret r2: OThere is a large variation in the number books people read each year, but if you only look at people who watch a fixed number of movies each year, this variation on average is reduced by 68%. Given any fixed number of movies watched per year, 68% of the population reads the predicted number of books per year. 68% of all people watch about the same number of movies as they read books each year. There is a 68% chance that the regression line will be a good predictor for the number of books people read based on the number of movies they watch each year. f. The equation of the linear regression line is: = (Please show your answers to two decimal places) g. Use the model to predict the number of books read per year for someone who watches 3 movies per year. Books per year = (Please round your answer to the nearest whole number.) h. Interpret the slope of the regression line in the context of the question: For every additional movie that people watch each year, there tends to be an average decrease of 0.78 books read. OThe slope has no practical meaning since people cannot read a negative number of books. As x goes up, y goes down.

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.