use this link for question 1 https://www.webassign.net/csalt/CSALT.html?U166379055324708#/toolset/dataset

In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the following data set. 5,5, 6, 9, 13 IA uses (a) Compute the mode, median, and mean. . mode X median 12 X mean x (b) Multiply each data value by 6. Compute the mode, median, and mean. mode 30 y median 36 V\" mean 45.6 of (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? O Multiplying each data value by the same constant 5 results in the mode, median, and mean increasing by a factor of c. O Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. 0 Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of C. (Q There is no distinct pattern when each data value is multiplied by the same constant. X (d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 66 inches, the median is 70 inches, and the mean is 72 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters? (Enter your answers to two deCimaI places.) mode x cm median x cm mean x cm A sociologist Is Interested In the relation between x = number of job changes and y = annual salary (In thousands of dollars) for people living In the Nashville area. A random sample of 10 people employed in Nashville provided the following Information. W 5 5 3 5 1 5 9 10 10 3 V'sam-mmgm) 38 34 36 32 32 3s 43 37 40 33 m USE SA 2x = 58; 2y = 353; 2x2 = 422; Eyz = 13,295; 2xy = 2,176 (a) Find 2 )7, b, and the equation of the least-squares line. (Round your answers for ; and )7 to two decimal places. Round your leastsquares estimates to three decimal places.) = 21.21 x J: 125.93 x b: 1.2 x ,7: 100.47 x + 1.2 x x (b) Draw a scatter diagram for the data. Plot the leastsquares line on your scatter diagram. y y 50 - 50 45 45 o 40 0 o I o 35 o I o 30 25 25 20 I I 1 I I X 20 I 1 I I I X C 0 2 4 6 3 10 C 2 4 6 8 10 50 25 v 20 00 50 (c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) r = 0.42 X r2 = 0.18 X What percentage of variation in y is explained by the leastsquares model? (Round your answer to one decimal place.) 18 (d) If someone 136.47 x /o had X = 5 job changes, what does the least-squares line predict for y, the annual salary? (Round your answer to two decimal places.) x thousand dollars