Find the equation of the regression line for the given data. x -5 -3 4 1-1 -2 0 2 3-4 y -10 -8 91-2 -6 -1 3 6 -8 O A. y=2.097x-0.552 O B. y=2.097x+0.552 O C. y= -0.552x +2.097 %3D
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- 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.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?41. Which of the following is the multiple regression model for the data? (a) y = -0.11050 + 2.10797x1 + 0.40717x2 (b) y = -0.11050 + 0.40717x1 + 2.10797x2 (c) y = 0.23563 + 0.00062x1 + 0.23626x2 (d) none (e) y = -0.44187 + 2.42120x1 + 0.36135x2
- In the following case find the best predicted value of y given the following: x = 2.00, r = -0.123 (p-value = 0.62), y (bar)= 8.00, n = 30 and the equation of the regression line is: y (hat) = 7.00 - 2.00xThe grades of a sample of 9 students on a prelim exam (x) and on the midterm exam (y) are shown below. Find the regression equation. y = 34.661 + 0.433x y = 0.777 + 12.0623x y = 12.0623 + 0.777x y = 34.661 - 0.433xThe personnel director of a large hospital is interested in determining the relationship (if any) between an employee’s age and the number of sick days the employee takes per year. The director randomly selects ten employees and records their age and the number of sick days which they took in the previous year. Employee 1 2 3 4 5 6 7 8 9 10Age 30 50 40 55 30 28 60 25 30 45Sick Days 7 4 3 2 9 10 0 8 5 2 The estimated regression equation and the standard error are given. Sick Days=14.310162−0.236900(Age) Se=1.682207 Find the 95% prediction interval for the average number of sick days an employee will take per year, given the employee is 34 . Round your answer to two decimal places.
- Suppose you are given the following x and y values. Assume x is the independent variable and y the dependent variable. x y 13 10 10 11 3 4 29 23 5 8 25 21 8 10 17 15 19 17 31 29 23 24 What is the regression equation? Group of answer choices 2.5296x + 0.7878 0.7878x 2.5296 + 0.7878y 2.5296 + 0.7878xWhich of the following represents the least-square regression line's equation? A. y = -a - bx B. y = a + bx C. y = a - bx D. y = -a + bx(a) Find the equation of the regression line for the given data, letting Row 1 represent the x-values and Row 2 the y-values. Sketch a scatter plot of the data and draw the regression line. B.) Find the equation of the regression line for the given data, letting Row 2 represent the x-values and Row 1 the y-values. Sketch a scatter plot of the data and draw the regression line. C.)What effect does switching the explanatory and response variables have on the regression line? Compare the slopes and y-intercepts of the two lines and see if anything has changed.
- A customer service department asks its customers to rate their over-the-phone service on a scale of 1-20 immediately after their service has been completed. The department then matches each customer's rating, y, with the number of minutes the person waited on hold, x. The accompanying table shows the ratings and number of minutes on hold for 10 randomly selected customers. The regression line for the data is y=16.5445−0.3073x, x=4.7, ∑x2=285, and SSE=62.8456. Minutes Rating 3 14 8 13 1 18 4 10 6 15 2 17 9 15 4 20 7 15 3 14 α=0.05 What is the test statistic for the hypothesis test? t= (Round to two decimal places as needed.)The amounts (x) of 6 restaurant bills and the corresponding amounts (y) of the tips are given in the table below. Bill 64.30 32.98 88.01 97.34 52.44 49.72 Tip 7.70 4.50 10.00 16.00 7.00 5.28 Find the following: The regression equation is ?̂=___+ ___x. If the amount of the bill is $85 the best prediction for the amount of the tip is
