Choose the correct graph below.
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Q: hello, could you sketch the graph please
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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.Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Managers rate employees according to job performance and attitude. The results for several randomly selected employees are given below. Performance Attitute59 7263 6765 7869 8258 7577 8776 9269 8370 8764 78 A. y=11.7+1.02x B. y=2.81+1.35x C. y=−47.3+2.02x D. y=92.3−0.669x
- Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 8 12 7 3 6 13 11 10 5 4 9 y 9.58 9.54 8.70 1.64 7.46 8.64 10.08 10.26 5.88 3.94 10.10 y=_+_x (Round to two decimal places as needed.)Which of the following best describes a regression coefficient in a bivariate setting? a. The change in Y predicted by a unit change in X b. The slope of a line that minimizes the sum of squared residuals c. The correlation coefficient multiplied by SDy/SDx d. All of the aboveUse the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 7 4 12 3 6 10 8 13 11 5 9 y 14.61 7.56 18.76 4.45 12.64 18.24 16.21 18.45 18.70 10.30 17.41 y^=???+1.41.4x (Round to two decimal places as needed.)
- In order to determine a realistic price for a new product that a company wants to market the company’s research department selected 10 sites thought to have essentially identical sales potential and offered the product in each at a different price. The resulting sales are recorded in the accompanying table: Price ($) Sales ($1,000s) 15.00 15 15.50 14 16.00 16 16.50 9 17.00 12 17.50 10 18.00 8 18.50 9 19.00 6 19.50 5 h). Estimate the slope of the actual equation of the regression line using a 95% confidence interval and interpret this interval.A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x y x y 0 2 5 12 3 8 4 9 2 7 3 9 1 3 0 3 5 13 4 10 Draw a scatter plot of the data. Use regression to find the equation for the line of best fit. Draw the line of best fit on the scatter plot. What is the slope of the line of best fit? What does it represent? What is the y-intercept of the line of best fit? What does it represent? What does an r value of zero mean?Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line.x y10 7.469 6.8311 13.1110 6.8111 7.5813 8.787 6.164 5.1612 7.846 6.656 5.52
- A random sample of ten professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x y x y 0 2 5 11 3 8 4 9 2 6 3 8 1 3 0 3 6 14 5 10 Use regression to find the equation for the line of best fit. (Round your answers to three decimal places.)ŷ = + xUse the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. x 10 5 9 12 13 11 7 8 14 4 6 y 7.91 3.06 7.71 7.20 6.26 7.74 6.14 7.11 4.95 0.95 4.80 y=enter your response here+enter your response herex (Round to two decimal places as needed.)The prelim grades (x) and midterm grades (y) of a sample of 10 MMW students is modeled by the regression line y = 12.0623 + 0.7771x. Estimate the prelim grade if the midterm grade is 83.