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# Directions: There are THREE questions on this take home quiz along with one extra credit ques-...

## Question

###### Directions: There are THREE questions on this take home quiz along with one extra credit ques-...

Directions: There are THREE questions on this take home quiz along with one extra credit ques- tion. Carefully write up your answers (and work) to the following questions on a SEPARATE piece of paper. You may work with up to two other people. Make sure that if you do choose to work in a group, you submit only one set of answers with all of your names on it. Since this is a take-home assignment you may talk with other students and use any other resources you wish. Due: In class Monday July 1st Question 1) Suppose you're interested in studying the relationship between the weight of a non- hybrid/electric car and the miles per gallon the car gets. To do this you take a random sample of 10 non-hybrid/electric cars and record their weight in hundreds of pounds and their fuel efficiency in miles per gallon. (Note: Make you sure you pay special attention to the units in this problem) You get the following data: Fuel Efficiency in Miles Per Gallon Weight in Hundreds of Pounds 21 34.3 23 32.3 26 29.4 29 26.9 32 24.5 34 23.1 37 21.1 41 18.6 43 17.5 50 14.2 to label your axes. (a) Draw a scatterplot for this data. Make sure (b) Calculate the correlation coefficient, and decide if there is enough evidence for a correlation (c) Construct the LSR for this data. Make sure to keep at least two decimal places for both your slope and y-intercept (d) Graph the LSR on your scatterplot (e) Interpret the slope of the LSR (f) Interpret the intercept of the LSR. (g) Calculate and interpret the coefficient of determination. (h) What does your model predict for the fuel efficiency of a car that weighs 4000 pounds? Would you trust this prediction? (0) Construct the residual plot for this data. Is a linear model appropriate? Why or why not?

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