C) Does the data provide evidence of an association between age and opinion of the band? Justify your answer. 2.Do people's opinions of the alt-rock band Coastal Surface depend on their age? Here are some data thataddress this question.Age11-14 years15-18 years19-22 yearsTotalLike=18384096Opinion of bandDislike301067107107250 = 42.8%dislikce the band.47/250 = 18.8% are not sure. ✓Uncertain15Percent171547Total63(a) Compute the marginal distribution of people's opinions of the band in percents.96/25038.4% like the band.70.060.050.040.030.020.010.00.065122250(b) The graph at the right compares several conditional distributions for these data. Show the calculations thathelped produce the bars for the 11-14 years age group.18/63 = 28.6% of 11-14 like it. ~3063 = 47.6% of 11-14 dislike it.15/63= 23,8% of 11-14 are not ✓sure.11-14 years 15-18 years 19-22 yearsAgeOpinionLikeDislikeUncert

The question is about categorical data analysis Given : To find : c ) Does data provide evid. of…

Answered: Does the data provide evidence of an…

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.3: Modeling Data With Power Functions

Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...

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Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?
Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?

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