# Data We are interested in exploring the relationship between the…

Question Data We are interested in exploring the relationship between the… Data We are interested in exploring the relationship between the weight of a vehicle and its fuel efficiency (gasoline mileage). The data in the table show the weights (in pounds), and fuel efficiency (in miles per gallon), for a sample of vehicles. Note the units here are pounds and miles per gallon.Weight(pounds) Fuel Efficiency (miles per gallon)2695 252680 292730 383000 253410 233640 213700 273880 213900 194060 204710 15 1. Which variable should be the independent variable and which variable should be the dependent variable? Independent variable:________________________________Dependent variable:___________________________________2. Graph. Draw a scatterplot of “weight” vs. “fuel efficiency”, using a ruler or computer. Label both axes with words. Scale both axes (this means to write numbers on the axes). Draw the regression line (should be a straight line) on the same axes as your scatterplot. Be sure to turn this in with your project.3. Numerical. Give the following values to 4 decimal places unless otherwise noted: a) correlation coefficient b) regression line equation (HINT: use LinRegTTest, the line is of the form yhat = a + bx)c) p-value (HINT: use LinRegTTest)d) s (the standard deviation of |y – yhat|) (HINT: use LinRegTTest)e) SSE (sum of squared errors – you can calculate this directly or use the formula for s)f) The percent of variation in fuel efficiency can be explained by the variation in weight using the regression line.(Hint: Coefficient of determination) Give answer as percentage to 2 decimal places.g) For a car that has weight 3100 pounds, predict its fuel efficiency to 2 decimal places. Include units. 4. Is the correlation significant? Why or why not? (Answer in a complete sentence)5. In a complete sentence, what is the practical interpretation of the slope of the least squares line in terms of weight and fuel efficiency? Your answer should include the numerical value of the slope of the line and correct units.6. Can we predict the fuel efficiency of a car with weight 2000 pounds using the least squares line? Answer Yes or No then explain why or why not in a complete sentence.7. Are there any outliers? ___________ (Answer yes or no) If so, which point (or points) is an outlier? Math Statistics and Probability MATH 10 Share QuestionEmailCopy link Comments (0)

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