For a certain data set the regression equation is y= 2 + 3.5x. The correlation coefficient between y and x in this data set _____. O is positive must be 3 O is negative O must be 1 O must be 0
Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
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Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
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Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
A: Use EXCEL to determine the regression equation. EXCEL procedure: Go to EXCEL Go to Data>Data…
Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
A: Use EXCEL to determine the regression equation. EXCEL procedure: Go to EXCEL Go to Data>Data…
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Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
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- Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…What is the difference between the following two regression equations? y=b0+b1x y=B0+B1xThe correlation between first year college GPA and high school GPA is 0.683. If a simple linear regression was conducted to predict first year college GPA from high school GPA what does the correlation tell us about the fit of the model?
- 4 Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 0 2 2 4 4 5 Test score, y Find the regression equation. y=x+ X+ C Test score 80- (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. O A. O B. 0- 0 8 Hours studying 40 43 50 49 62 67 OA. 97.5 OB. 55.2 O C. 60.1 P Test score D. not meaningful 80- 0- 0 8 Hours studying O C. Test score (a) x = 3 hours (c) x = 12 hours 80- (a) Predict the value of y for x = 3. Choose the correct answer below. 0- 0 8 Hours studying O D. OA. 55.2 OB. 52.7 O C. 60.1 O D. not meaningful (b) Predict the value of y…No calculations required. Choose correct answer only.Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 150 180 130 120 90 190 (a) x=160 calories (b) x=100 calories Sodium, y 430 480 320 360 290 550 (c) x=140 calories (d) x=50 calories Find the regression equation. y=nothingx+(nothing) (Round to three decimal places as needed.) Choose the correct graph below. A. 02000560CaloriesSodium (mg) A scatterplot has a horizontal axis labeled "Calories" from 0 to 200 in increments of 20 and a vertical axis labeled "Sodium (in milligrams)" from 0 to 560 in increments of…
- Fill in the blanks. a. If predictor variable x1 has VIF equal to 5, then _______ percent of the variation in the observed values of x1 is explained by the other predictor variables in the regression equation. b. If x1 and x2 are the only predictor variables in a regression equation and if the observed values of x1 and x2 have linear correlation coefficient equal to 0.7, then the VIF of x1 equals ________. c. A VIF of 10 indicates _______. multicollinearity.37-38. Given the following data pairs (x, y): (1, 1.24), (2, 5.23). (3, 7.24). (4, 7.60), (5, 9.97), (6, 14.31), (7, 13.99).(8, 14.88), (9, 18.04), (10, 20.70). Find the regression equation O A. y = 0.490 x - 0.053 O B. y = 2.04 x O C. y = 1.98 x + 0.436 O D. y = 0.49 xFind the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (Each pair of variables has a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content (in milligrams) for 6 beef hot dogs are shown in the table below. Calories, x 130 130 350 370 150 (a) x 160 calories (b)x= 100 calories Sodlum, y (c) x 140 calories (d) x=200 calories Find the regression equation. (Round to three decimal places as needed.) Choose the correct graph below. OA 560 Q Q 200 G Calories (a) Predict the value of y for x = 160. Choose the correct answer below. OA. 393.094 OB. 440.954 OC. 536.674 OD. not meaningful (b) Predict the value of y for x= 100. Choose the correct answer below. OA 297.374 OB. 536.674 OC. 393.094 OD. not meaningful (c) Predict the value of y for x = 140. Choose the correct answer below. OA 297.374 OB.…
- Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x Test score, y 3. 4 (a) x = 3 hours (c) x = 12 hours (b) x = 3.5 hours 40 45 50 49 65 68 (d) x = 4.5 hours Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)Which of the following is true of a linear regression line? a. Located as close as possible to all the points of a scatter chart. B. Is defined by an equation having 2 parameters: the slope and the intercept c. Provides an approximate relationship between the values of two parameters d. All of the aboveThe mortality rate of a sample of the population as a function of daily tobacco consumption can be seen below: Number of cigarettes "x": 3 5 6 15 20 Mortality rate "y" : 0.2 0.3 0.4 0.5 0.7 With these data, solve the following: a. Determine and interpret the correlation coefficient. b. Find the regression line of y on x. c. What will be the mortality rate for a consumer of 40 cigarettes per day?