In a study of 2005 model cars, a researcher found that the fraction of the variation...
19. In a study of 2005 model cars, a researcher computed the least-square r gallon (MPG) on weight Oin pounds). He obtained the following eouation for this ine MPG 34.943-004 x weight Based on the least-squares regresslion line, we would predict that a 2005 model car with weight equel to 3000 pounds would have an MPG o 30.931 4.941 22.941 26921
The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r = −0.978. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is ŷ=−0.0067x+43.2680. Car Weight (pounds), x Miles per Gallon, y 1 3,765 18 2 3,984 17 3 3,530 21 4 3,175 23 5 ...
I need help with the final part of this problem - (c) Interpret the coefficient of determination and comment on the adequacy of the linear model - all 4 parts. Thank you so much for all the help! The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r = −0.963. The least-squares regression...
The accompanying data represent the weights of various domestic cars and their gas mileages in the city. The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r= -0.974. The least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable is y = -0.0066x + 43.3298. Complete parts (a) through (c) below. E:: Click the icon to view the data table. (a) What proportion...
he follo 2. Do heavier cars really use more gasoline? Suppose that a car is chosen at random. Let x be the weight of the car (in pounds), and let y be the miles per gallon (mpg). The following information is based on data taken from Consumer Reports (vol. 62, no. 4). cystolic 3400 5200 21 14 - Weight of Car (in pounds) 2700 4400 3200 4700 2300 4000 y-Miles per Gallon 30 19 24 13 29 17 . Find...
anougsoAB The accomparying dala represent the woights of various domestic cars and thair gas mileages in the cty. The Inear comelation coeffcient between the waight of a car and its mles per gallon in the city is r-0.972. The least-squares ragrossion line troating woight as the explanatory variable and mlas per gallon as the response variable is y-0.0070x 44.9450. Complete parts (a) and (b) Cick the icon to view the data tabie (a) What propertion of the variebility in miles...
Do 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). x 30 43 31 47 23 40 34 52 y 30 21 22 13 29 17 21 14 Complete parts (a) through (e), given Σx = 300, Σy = 167, Σx2 = 11,908, Σy2 = 3761, Σxy = 5885, and r ≈ −0.888. (a) Draw...
2. What is the coefficient of correlation between miles per gallon and weight? What is the sign of the correlation coefficient? Does the coefficient of correlation indicate a strong correlation, weak correlation, or no correlation between the two variables? How do you know? See Step 3 in the Python script. 3. Write the simple linear regression equation for miles per gallon as the response variable and weight as the predictor variable. How might the car rental company use this model?...
1. Describe the trend of the data, if any. 2. Calculate the linear correlation coefficient and is the linear correlation coefficient significant? Why/why not? 3. Find the least-squares line of regression. 4. Graph the regression line on the scatter plot 5. Plot the residuals (give it your own title and labels for the axes!) with lines for 2 standard deviations of the residuals. 6. Predict the gas mileage of a 2000, 3000 and 4000 lb car. Make a scatter plot...
Do 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). x 29 44 33 47 23 40 34 52 y 32 20 26 13 29 17 21 14 Complete parts (a) through (e), given Σx = 302, Σy = 172, Σx2 = 12,064, Σy2 = 4036, Σxy = 6066, and r ≈ −0.902. (a) Draw...