2. In a study of relationship between variables x and y the following values are obtained 2 5 4 4 1 7 Y 5 4 25 16 16 1 25 36 49 a- Find person correlation coefficient b- Obtain the simple linear regression equation c- Find the predict value y when x = 5 and error 3.

9. Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x Sodium, y 160 130 330 120 70 190 (a) x = 170 calories (c) x = 150 calories 180 (b) x = 80 calories 420 470 360 250 530 (d) x = 210 calories Find the regression equation. x+( (Round to three decimal places as needed.) y = Choose the correct graph below. OA. О В. OC. OD. 560- 560 560 560- 200 G 0IN T> 200 200 Calories Calories Calories Calories (a) Predict the value of y for x = 170. Choose the correct answer below. O A. 411.632 O B. 543.752 O C. 455.672 O D. not meaningful (b) Predict the value of y for x = 80. Choose the correct answer below. O A. 411.632 О В. 257.492 O C.…

d the linear regression equation and the value of the linear correlation coefficient r. Round to 2 decimals. 19) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands): Cost| 7 2 3 4 2 5 9 10 Number 85 52 55 68 67 80 83 73 to Cost r =

11. The National Oceanic and Atmospheric Administration tracks the amount of oysters harvested from the Chesapeake Bay each year. Years since 1900 10 20 43 52 84 89 Oysters (metric tons) 36 20.6 9.24 8.22 2.73 2.25 a) Is there a correlation? If so, describe the shape and strength. If no correlation, go on to #12, if there is a correlation, complete the parts below. b) The regression equation that describes this: c) Based on this, how much was harvested in 1931? d) What does x = 60 represent? e) Find the value of f(x) when x = 60 What does this mean in context?