Each of you are assigned a data set for the regression project (if you are not interested in collecting your own data for extra credit). The data set you need to work with is the one that is labeled by

Each of you are assigned a data set for the regression project (if you are not interested in collecting your own data for extra credit). The data set you need to work with is the one that is labeled by

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

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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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?
The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
Question 9 The relationship between annual salary (in US dollars) and race was estimated as below in a linear format. (White employees were coded as 0 and Non-White employees were coded as 1.) Annual Salary = -17,472 * Non-White + 48,253 (The p-value for the coefficient of Non-White is 0.01.) Base on the above equation, which of the following statements are true? A.) White employees are expected to receive 17,472 dollars more than non-white employees. B.) In the sample used to estimate the equation, the average pay of non-white employees is 17,472 dollars. C.)In the sample used to estimate the equation, the average pay of white employees is 30,781 dollars. D.)In the sample used to estimate the equation, the average pay of non-white employees is 48,253 dollars.
Question 18 At a local club, the ages of the members and the times they took to run a 10 km race arerecorded. For a random sample of 25 club members aged between 27 and 60, their ages(x years) and times (y minutes) produce the following regression line. y = 0.83x + 41.28Four new members join the club. Their respective ages (in years) are 26, 18, 22, and 28. When therespective race times for the 4 new members are estimated, which one of these estimated race timesis the most reliable?A. 62.86 minutesB. 56.22 minutesC. 59.54 minutesD. 64.52 minutes Question 19 The data of the number of ‘centuries’ i.e. a scores of 100 runs or more, scored by players at acricket club during a season are given in the following table.Number of centuries Number of players0 41 k2 33 24 38 1Given that the mean number of centuries scored per player is 1.95, find the value of k.A. 7B. 3C. 4D. 1 Question 20The asking prices (in Rands) and the actual selling prices (in Rands), after bargaining, of 8commodities are…
Question 18 At a local club, the ages of the members and the times they took to run a 10 km race are recorded. For a random sample of 25 club members aged between 27 and 60, their ages (x years) and times (y minutes) produce the following regression line. y = 0.83x + 41.28Four new members join the club. Their respective ages (in years) are 26, 18, 22, and 28. When the respective race times for the 4 new members are estimated, which one of these estimated race times is the most reliable?A. 62.86 minutesB. 56.22 minutesC. 59.54 minutesD. 64.52 minutes
Question 16 Regression analysis was applied between sales (in $1000s) and advertising (in $100s), and the following regression function was obtained. = 500 + 4x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is _____. $505,000 $900 $40,500 $900,000
Question 4 The following table displays the mathematics test scores for a random sample of college students, along with their final SY16C grades. Fit the regression line y = a+bx to the data and interpret the results. Use the regression equation to determine the SY16C grade for a college student who scored 60 on their achievement test. What would their SY16C grade be? Mathematics test (x) SY16C grades (y) 1 39 65 2 43 78 3 21 52 4 64 82 5 57 92 6 47 89 7 28 73 8 75 98 9 34 56
question 2 Shown below are the scatterplots and results of three linear regression analyses done that relate several different behavioural traits to one another in crabs, taken directly from a published paper. The dashed line in each is the line of best fit (least squares regression line). The fitted regression equation, r-value and p-value for each analysis are given in the figure legend below the graphs. Relationships among personality traits in the swimming crab Portunus trituberculatus. Each data point represents an individual crab; data are shown as the specific valye of personality traits (n=88). (A) Relationship between boldness and activity (y=36.04x-17.572, r=0.459, P=0.00). (B) Relationship between activity and hesitancy (y=-0.152x+3.37, r=0.305, P=0.00). (C) Relationship between boldness and hesitancy (y=-1.18x+7.07, r=0.158, P=0.02) For each graph (A – C) and the corresponding results in the figure caption above (A – C), comment on whether the result indicates the null…
QUESTION 13 Below is some of the regression output from a regression of the amount various customers paid for a new car (expressed in dollars) versus the age of the customer (expressed in years), the number of previous cars the customer had purchased from the dealership in the past, a dummy variable indicating the gender of the customer (=1 for a Man and = 0 for a woman), and an interactive term the multiplies the age of the customer with the gender dummy variable. Regression Statistics Multiple R 0.963 R Square Adjusted R Square Standard Error Observations 20 ANOVA df SS MS F Significance F Regression 24686354.49 6171589 47.8 2.3289E-08 Residual 129243 Total 26625000…
Question 1 The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be concluded that the average age of all the students at City College Question 1 options: must be more than 22, since the population is always larger than the sample is 22 since the sample mean is an unbiased estimator of the population mean could be larger, smaller, or equal to 22 must be less than 22, since the sample is only a part of the population
Question 8 The relationship between annual salary (in US dollars) and race was estimated as below in a linear format. (White employees were coded as 0 and Non-White employees were coded as 1.) Annual Salary = -17,472 * Non-White + 48,253 (The p-value for the coefficient of Non-White is 0.01.) How can the relationship between race and annual salary be interpreted? A.) White employees are expected to receive 17,472 dollars more than non-white employees. B.) White employees are expected to receive 17,472 dollars less than non-white employees. C.)There is no meaningful difference in annual salary between white and non-white employees from a statistical point of view. D.) White employees are expected to receive 48,253 dollars more than non-white employees.