1. [11 Points] DETAILS BBBASICSTATS 4.1.001. When drawing a scatter diagram, along which axis is the explanatory variable placed? Along which axis is the response variable placed? 0 horizontal axis; vertical axis 0 both variables along the vertical axis 0 both variables along the horizontal axis 0 vertical axis; horizontal axis Need Help? 2. [I1 Points] DETAILS BBBASICSTATS 4.1.002. Suppose two variables are positively correlated. Does the response variable increase or decrease as the explanatory variable increases? 0 The response variable will increase as the explanatory variable increases. 0 The response variable will remain constant as the explanatory variable increases. 0 We can not say whether the response variable will increase or decrease. O The response variable will decrease as the explanatory variable increases. Need Help? 3. [-8 Points] DETAILS BBBASICSTATB $1.004. Describe the relationship between two variables when the correlation coefficient r is one of the following. {a} near 1 0 weak positive linear correlation 0 weak negative linear correlation 0 weak or no linear correlation 0 strong positive linear correlation 0 strong negative linear correlation (b) near 0 0 strong positive linear correlation 0 weak negative linear correlation 0 strong negative linear correlation 0 weak positive linear correlation 0 weak or no linear correlation {c} near 1 0 strong positive linear correlation O weak negative linear correlation 0 strong negative linear correlation 0 weak positive linear correlation 0 weak or no linear correlation 4. [!3 Points] DETAILS BBBASICSTATB 4.1.005. Look at the following diagmms. which diagrams show high linear correlation, modemte or low linear correlation, or no linear correlation? (a) , . lb: in: (a) (b) (c) Need Help? 5. [8 Points] DETAILS BBBASICSTATS 4.1.006. Look at the following diagmms. which diagrams show high linear correlation, moderate or low linear correlation, or no linear correlation? (a) (b) m Need Help? SubmitAnswer 6. [-/5 Points] DETAILS BBBASICSTAT8 4.1.013.MI. MY NOTES ASK YOUR TEACHER PRACTICE How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). 60 140 166 187 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 20 180 180 20 160 160 15 15 140 140 y (average weight (in kg)) y (average weight (in kg)) y (average weight (in kg)) y (average weight (in kg)) 120 120 10 10 100 100 80 80 5 60 0 60 60 80 100 120 140 160 180 10 15 20 10 15 20 60 80 100 120 140 160 180 O x (age (in months)) x (age (in months)) x (age (in months)) x (age (in months)) (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (c) Use a calculator to verify that _ x = 59, > x2 = 919, > > = 648, > > = 94,750, and > xy = 9,179. Computer. (Round your answer to four decimal places.) As x increases from 3 to 21 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, y should tend to increase as x increases. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, we can not draw any conclusions for the behavior of y as x increases.7. [-/5 Points] DETAILS BBBASICSTAT8 4.1.013.MI.S. MY NOTES ASK YOUR TEACHER PRACT How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). V 60 95 140 164 26 LA USE SALT (a) Make a scatter diagram of the data and visualize the line you think best fits the data. 25 160 160 20 140 140 y (average weight (in kg)) y (average weight (in kg)) y (average weight (in kg)) 20 15 120 y (average weight (in kg)) 100 100 10 10 80 80 60 60 0 5 10 15 20 25 80 100 120 140 160 5 10 15 20 25 60 80 100 120 140 160 O x (age (in months)) x (age (in months)) x (age (in months)) x(age (in months)) A (b) Would you say the correlation is low, moderate, or strong? O low O moderate O strong Would you say the correlation is positive or negative? O positive O negative (c) Use a calculator to verify that _ x = 64, > x2 = 1154, > > = 632, > >? = 89,050, and > xy = 9,716. Compute r. (Round your answer to four decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. O Given our value of r, y should tend to remain constant as x increases. O Given our value of r, y should tend to decrease as x increases. O Given our value of r, we can not draw any con sions for the behavior of y as x increases. O Given our value of r, y should tend to increase as x increases. Need Help? Read it Master ItYou are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch ha for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 16 26 36 y 42 52 77 100 150 200 Complete parts (a) through (e), given Ex = 95, Zy = 621, Ex = 2343, Zy = 82,897, Exy = 13,779, and / * 0.9985. (a) Draw a scatter diagram displaying the data. 35 35 30 25 y (calf weight (in kilograms)) y (calf weight (in kilograms)) 20 15 10 50 100 150 200 50 100 150 200 O x (age of calf (in weeks)) C x (age of calf (in weeks)) 200 50 y (calf weight (in kilograms)) 100 50 5 10 15 20 25 30 35 O x (age of calf (in weeks)) 200 . 50 y (calf weight (in kilograms)) 10 15 20 25 30 35 O x (age of calf (in weeks))(b) Verify the given sums Ex, Ey, Ex , Ey", Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ey Ex2 Ey ? Exy (c) Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 200 200 150 150 y (calf weight (in kilograms)) y (calf weight (in kilograms)) y (calf weight (in kilograms)) y (calf weight (in kilograms)) 100 100 50 50 5 10 15 20 25 30 10 15 20 25 30 35 50 100 150 200 50 100 150 200 O x (age of calf (in weeks)) O x (age of calf (in weeks)) O x (age of calf (in weeks)) O x (age of calf (in weeks)) (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for " to four decimal places. Round your answers for the percentages to two decimal place.) explained unexplained 1% f) The calves you want to buy are 25 weeks old. What does the least-squares line predict for a healthy weight? (Round your answer to two decimal places.) kgDo heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). 29 46 33 47 23 40 34 52 32 21 22 13 29 17 21 14 Complete parts (a) through (e), given Ex = 304, Ey = 169, Ex = 12,244, Ey = 3885, Exy = 6020, and re -0.8612. (a) Draw a scatter diagram displaying the data. 50 50 30 30 45 45 25 25 40 40 y (miles per gallon) y (miles per gallon) y (miles per gallon) y (miles per gallon) 35 20 20 30 30 15 15 25 25 25 30 35 40 45 50 15 20 25 30 15 20 25 30 25 30 35 40 45 50 x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) A (b) Verify the given sums Ex, Ey, Ex?, Ey?, Exy, and the value of the sample correlation coefficient r. (Round your value for r to four decimal places.) Ex = Ex2 Ey Exy = )Find x, and y. Then find the equation of the least-squares line y = a + bx. (Round your answers to four decimal places.) FIXI D =(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line. 30 50 30 50 45 25 40 25 y (miles per gallon) y (miles per gallon) y (miles per gallon) y (miles per gallon) 35 35 20 20 2 30 30 15 15 25 25 25 30 35 40 45 50 15 20 25 30 25 30 35 40 45 50 15 20 25 30 O x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) x (weight of the car (in hundreds of pounds)) (e) Find the value of the coefficient of determination . What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for / to four decimal places. Round your answers for the percentages to two decimal place.) 2 = explained unexplained (f) Suppose a car weighs x = 35 (hundred pounds). What does the least-squares line forecast for y = miles per gallon? (Round your answer to two decimal places.) mpg Need Help? Read it Master It Submit Answer Viewing Saved Work Revert to Last Response [-/1 Points] DETAILS BBBASICSTAT8 4.1.003. MY NOTES Suppose two variables are negatively correlated. Does the response variable increase or decrease as the explanatory variable increases? The response variable will increase as the explanatory variable increases. O The response variable will decrease as the explanatory variable increases. O The response variable will remain constant as the explanatory variable increases. O We can not say whether the response variable will increase or decrease. Need Help? Read It