For each of the following variables indicate whether you would expect a positive correlation, a negative correlation, or no correlation. 6. Interest rate and number of loan applications SHOW ALL WORK WITH GRAPHS AND TABLES IF NEEDED 3. The frying time of food x and the amount of moisture retained when done frying y are recorded as follows: Frying 5 10 15 20 25 30 45 60 time, x Moistur 16.3 9.7 8.1 4.2 3.4 2.9 1.9 1.3 e, y a. Present a scatter plot for the data. b. Determine the correlation coefficient for the data and interpret the value. 14. Given the following set of observations for the independent variable x and the dependent variable y: X Y 2 9 5 1 a. Find the correlation coefficient. What does this answer indicate? b. Find the coefficient of determination. Interpret the value of your answer. c. Find the least squares linear regression equation. -2 11 6 -2 17. The following 9 observations compare the Quetelet index, x (a measure of body build) and dietary energy density, y. X 221 228 223 211 231 215 y .67 .86 .78 .54 .91 .44 a. Make a scatter-plot of the data. b. Compute the LSRL. c. Provide an interpretation of the slope of this line in the context of these data. d. Find the correlation coefficient for the relationship. Interpret this number. e. Find the coefficient of determination for the relationship. Interpret this number. 16. A wildlife biologist is interested in the relationship between the number of chirps per minute for crickets (y) and temperature. Based on the collected data, the least-squares regression line is y 10.533.41x , where x is the number of degrees Fahrenheit by which the temperature exceeds 50 . Give a sentence that describes the meaning of the slope of the least-squares regression line. 224 .9 233 .94 268 .93