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Look at the histogram below, which shows mileage, in miles per gallon (mpg), for a random selection of older passenger cars.â€

(a) Is the shape of the histogram essentially bimodal?

Yes, because the histogram has two peaks.

(b) Jose looked at the raw data and discovered that the 54 data values included both the city and highway mileages for 27 cars. He used the city mileages for the 27 cars to make the histogram below.

Using this information and the histograms shown above, construct a frequency table for the highway mileages of the same cars. Use class boundaries 16.5, 20.5, 24.5, 28.5, 32.5, 36.5, and 40.5.

Class Boundaries

Frequency

16.5 –

20.5 –

24.5 –

28.5 –

32.5 –

36.5 –

40.5 –

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04:57

Look at the histogram in Figure $2-10(a),$ which shows mileage, in miles per gallon (mpg), for a random selection of older passenger cars (Reference: Consumer Reports).(a) Is the shape of the histogram essentially bimodal?(b) Jose looked at the raw data and discovered that the 54 data values included both the city and the highway mileages for 27 cars. He used the city mileages for the 27 cars to make the histogram in Figure $2-10$ (b). Using this information and Figure $2-10,$ parts (a) and (b), construct a histogram for the highway mileages of the same cars. Use class boundaries 16.5,20.5,24.5 $28.5,32.5,36.5,$ and 40.5

02:48

Look at the histogram in Figure $2-10(\mathrm{a}),$ which shows mileage, in miles per gallon (mpg), for a random selection of older passenger cars (Reference: Consumer Reports).(a) Is the shape of the histogram essentially bimodal?(b) Jose looked at the raw data and discovered that the 54 data values included both the city and the highway mileages for 27 cars. He used the city mileages for the 27 cars to make the histogram in Figure $2-10(\mathrm{b}) .$ Using this information and Figure $2-10$, parts (a) and (b), construct a histogram for the highway mileages of the same cars. Use class boundaries 16.5,20.5,24.5,28.5,32.5,36.5 and 40.5.

05:36

The speeds of 55 cars were measured by a radar device on a city street:$$\begin{array}{llllllllll}\hline 27 & 23 & 22 & 38 & 43 & 24 & 35 & 26 & 28 & 18 & 20 \\25 & 23 & 22 & 52 & 31 & 30 & 41 & 45 & 29 & 27 & 43 \\29 & 28 & 27 & 25 & 29 & 28 & 24 & 37 & 28 & 29 & 18 \\26 & 33 & 25 & 27 & 25 & 34 & 32 & 36 & 22 & 32 & 33 \\21 & 23 & 24 & 18 & 48 & 23 & 16 & 38 & 26 & 21 & 23 \\\hline\end{array}$$a. Classify these data into a grouped frequency distribution by using class boundaries $12-18,18-24, \ldots$ $48-54$b. Find the class width.c. For the class $24-30,$ find the class midpoint, the lower class boundary, and the upper class boundary.d. Construct a frequency histogram of these data.

02:09

Please do the following.(a) Draw a scatter diagram displaying the data.(b) Verify the given sums $\Sigma x, \Sigma y, \Sigma x^{2}, \Sigma y^{2},$ and $\Sigma x y$ and the value of the sample correlation coefficient $r$.(c) Find $\bar{x}, \bar{y}, a,$ and $b .$ Then find the equation of the least-squares line $\hat{y}=a+b x$.(d) Graph the least-squares line on your scatter diagram. Be sure to use the point $(\bar{x}, \bar{y})$ as one of the points on the line.(e) Interpretation Find the value of the coefficient of determination $r^{2} .$ 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?Answers may vary slightly due to rounding.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). The following information is based on data taken from Consumer Reports (Vo…

Transcript

in problem line given this instagram that represents the mileage of all the course. 44, All the cars, passengers, course for Bharti we want to show if this ship or the shape of this instagram is by model. We can see that we have here two beaks. We have the first week here at 15 the frequency of 15 and here for this class we have another big and the instagram goes up Until 15. Then Darwin There are three, then it goes up again 12, then it goes down finally at one which means this cheap. The shape of the chest a gram is by model instagram is by model which means this data contains two different categories which is confirmed in Burnaby by taking half of the data and the consistent hissed a gram for course of the city 27 course for city cores. The marriage of this course in the city give this instagram the first to close give six The second the clause is 15 The third is three and finally we have one. Yeah, we want to construct The other hissed a gram. Out of these two. The history Graham that represents the other category or the other 27 of course. The other ones which represents highway, highway of course the course…

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