An engineer wants to determine how the weight of a car, x, affects gas mileage, y (MPG). The following data represent the weights of various cars and their miles per gallon. Make a scatter plot. (Carefully choose units on both axes; no need to start at 0, but make them not too small! Do not omit axis labels and the title.) Describe the relationship between Car Weight and MPG. Justify. Give the correlation coefficient to three decimal places. (CV are listed on the last page) Car Weight (pounds), x Miles per Gallon, y A B C D E 2750 2940 3265 3765 4120 25.4 25.1 25.4 19.8 20.2 'f it makes sense, give the equation of the regression line (of MPG on pounds of weight; use at least 3 significant, nonzero, digits) and draw this line on the plot (be precise! use a ruler.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 63E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Hi! I pretty much don't understand these problems that were presented on my Statistics class

An engineer wants to determine how the weight of a car, x, affects gas mileage, y (MPG). The following
data represent the weights of various cars and their miles per gallon.
Make a scatter plot. (Carefully
choose units on both axes; no need to
start at 0, but make them not too small!
Do not omit axis labels and the title.)
Describe the relationship
between Car Weight and MPG.
Justify. Give the correlation
coefficient to three decimal
places. (CV are listed on the last
page)
Car
Weight (pounds), x
Miles per Gallon, y
A B C D E
2750 2940 3265 3765 4120
25.4 25.1 25.4 19.8 20.2
If it makes sense, give the equation of the regression line (of MPG on pounds of weight; use at least 3
significant, nonzero, digits) and draw this line on the plot (be precise! use a ruler.)
Is the gas mileage (miles per gallon) of the car B above average or below average for cars of the same
weight? Justify.
What is the best predictor of MPG for a car with weight of 5500 lb. (Be careful!)
Transcribed Image Text:An engineer wants to determine how the weight of a car, x, affects gas mileage, y (MPG). The following data represent the weights of various cars and their miles per gallon. Make a scatter plot. (Carefully choose units on both axes; no need to start at 0, but make them not too small! Do not omit axis labels and the title.) Describe the relationship between Car Weight and MPG. Justify. Give the correlation coefficient to three decimal places. (CV are listed on the last page) Car Weight (pounds), x Miles per Gallon, y A B C D E 2750 2940 3265 3765 4120 25.4 25.1 25.4 19.8 20.2 If it makes sense, give the equation of the regression line (of MPG on pounds of weight; use at least 3 significant, nonzero, digits) and draw this line on the plot (be precise! use a ruler.) Is the gas mileage (miles per gallon) of the car B above average or below average for cars of the same weight? Justify. What is the best predictor of MPG for a car with weight of 5500 lb. (Be careful!)
The graph of the discrete probability below represents the number of live births by a mother 46 to 51
years old who had a live birth in 2017.
Probability
0.30-
0.25-
0.20-
0.15
0.10
0.05-
0.00-
0
places.)
0.239
0.251
0.169
0.112
0.097
0.036 0.041
3
5
Number of Live Births
0.055
8
Find the means and standard deviation of the probability distribution. (Round to three decimal
What is the probability that a randomly selected mother 46 to 51 years old who had a livebirth in
2017 has had her first live birth in that year?
What is the probability that a randomly selected mother 46 to 51 years old who had a livebirth in
2017 has had her at most second live birth in that year?
If a mother 46 to 51 years old who had a live birth in 2017 is randomly selected, how many live births
would you expect the mother to have had? (Round to one decimal place if needed.)
Transcribed Image Text:The graph of the discrete probability below represents the number of live births by a mother 46 to 51 years old who had a live birth in 2017. Probability 0.30- 0.25- 0.20- 0.15 0.10 0.05- 0.00- 0 places.) 0.239 0.251 0.169 0.112 0.097 0.036 0.041 3 5 Number of Live Births 0.055 8 Find the means and standard deviation of the probability distribution. (Round to three decimal What is the probability that a randomly selected mother 46 to 51 years old who had a livebirth in 2017 has had her first live birth in that year? What is the probability that a randomly selected mother 46 to 51 years old who had a livebirth in 2017 has had her at most second live birth in that year? If a mother 46 to 51 years old who had a live birth in 2017 is randomly selected, how many live births would you expect the mother to have had? (Round to one decimal place if needed.)
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