A data set is given below.   ​(a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. ​(b) Given that x=3.6667​, sx=2.3381​, y=4.5833​, sy=1.6376​, and r=−0.9315​, determine the​ least-squares regression line. ​(c) Graph the​ least-squares regression line on the scatter diagram drawn in part​ (a).   x 1 1 3 5 6 6   y 5.4 6.8 5.8 3.6 2.8 3.1

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.8333, sx = 2.0412, y = 3.8833, sy = 1.5651, and r= -0.9338, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). X y O A. 1 2 4 4 6 5.2 5.8 4.5 3.6 2.0 (a) Choose the correct graph below. Q 6 6 2.2 D There appears to be a linear, negative relationship. (b) y = x + ( (Round to three decimal places as needed.) B. 6- 0 Y ← O C. 6- 0 .. O D. Ay 67 0-

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.8333, s, =2.0412, y = 3.4167, s, = 1.6702, and r= - 0.9435, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 4 4 y 4.9 5.4 4.0 3.2 1.3 1.7 (a) Choose the correct graph below. Ay 6- 6- 0- 6. There appears to be a linear, negative relationship. (b) ŷ =x+ (O (Round to three decimal places as needed.) B.

An engineer wants to determine how the weight of a​ gas-powered car,​ x, affects gas​ mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year. Complete parts​ (a) through​ (d) below.   ​(a) Find the​ least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.   y=nothingx+​(nothing​) ​(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as​ needed.) ​(b) Interpret the slope and​ y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice. ​(Use the answer from part a to find this​ answer.)   A. A weightless car will get nothing miles per​ gallon, on average. It is not appropriate to interpret the slope.   B. For every pound added to the weight of the​ car, gas mileage in the city will decrease by nothing ​mile(s) per​ gallon, on…

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x = 3.5000, s, =2.5884, y = 4.2167, s, = 2.0469, and r= -0.9607, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 1 6 6 6.1 6.6 5.4 2.9 2.0 2.3 y (a) Choose the correct graph below. OA. OB. OC. OD. 7+ As There appears to be V relationship

For the data given in the table below, find the linear correlation coefficient r and the least-squares regression line x    y ------- 1  18 3  13 3   9 6   6 7   4 -------

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x = 3.6667, sy =2.3381, y = 3.9167, s, = 1.8563, and r= - (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 0.9570, determine the least-squares regression line. 1 1 y 5.1 6.4 5.1 2.8 1.9 2.2 (a) Choose the correct graph below. O A. В. Ay 7- Ay 7- Ay 7- X X 6 6 6. There appears to be a linear, negative relationship. (b) y =x+ (O (Round to three decimal places as needed.)

(b)

A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y. (b) Given that x= 3.3333, s= 2.5033, y = 4.0667, s, = 1.9449, and r= - 0.9585, determine the least-squares regression line. (c) Graph the least-squares regression line on the scatter diagram drawn in part (a). 3 4 5.8 6.3 5.1 3.4 1.8 2.0 重 (a) Choose the correct graph below. OA. O B. OD. 本y 7- Ay 本y 7- AY 7- 0- 0. 0- 0. 6. There appears to be relationship. (b) ŷ =[]x+ (D (Round to three decimal places as needed.) (c) Choose the correct graph below. O A. О В. OC. O D. Ay 7- Ay 7- 0- 0. 9. 6. O Time Remaining: D TCOA2334403 U 10-8-2014 MAIN TCOA2330401 (2) Q 出

Complete parts (a) through (h) for the data below. 4 6. 8 y 11 14 18 23 26 (d) By hand, determine the least-squares regression line. y = 2.977 x+ ( - 0.651) (Round to three decimal places as needed.) (e) Graph the least-squares regression line on the scatter diagram. Choose the correct graph below. A. Ов. Ay 30- Ay 10- 30- X 0- 10 10 10 (f) Compute the sum of the squared residuals for the line found in part (b). (Round to three decimal places as needed.)