# solution

Consider the following data where x is the number of hours spent studying for the final eam in statistics and y is the score earned on the final exam: (1, 68), (2, 78), (3, 85), (4, 92) a. What is the value of the Correlation Coefficient? b. Use Table A-5 to determine if a linear correlation exist between the variables. c. If a linear correlation exists between x and y, calculate a linear regression line. d. Use your regression line to predict a studentâ€™s performance on the xam if she studies 2.5 hours.

1. a. r = 0.996 c. ??^ = 7.9?? + 61 d. 80.75

2. Consider the following data set where x is the number of hours spent making sales calls and y is
(1, 3), (2, 5), (3 ,8), (4, 10), (5, 14)
a. What is the value of the Correlation Coefficient?
b. Use Table A-5 to determine if a linear correlation exist between the variables.
c. If a linear correlation exists between x and y, calculate a linear regression line.
d. Use your regression line to predict the number of sales which can be expected when a
salesperson spends 6 hours calling customers.

2. a. r = 0.993 c. ??^ = 2.7?? – 0.1 d. 16.1 or approximately 16 sales

3. Consider the following data set where x is how long you have owned your care (years) and y is
the value of your car (in thousands of dollars):
(1, 25), (3, 17), (4, 11), (7, 6)
a. What is the value of the Correlation Coefficient?
b. Use Table A-5 to determine if a linear correlation exist between the variables.
c. If a linear correlation exists between x and y, calculate a linear regression line.
d. Use your regression line to predict the value of your car after 6 years of ownership 