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 table shows the shoe size and heights (in.) for 6 men. Shoe size, x Height, y Find the regression equation. ŷ =]]> y = x + ( D 6.5 9.5 11.0 11.5 12.5 13.5 65.0 68.0 70.0 72.0 72.0 73.0 (Round to three decimal places as needed.)
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a. Find the regression equation
b. Draw the graph
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- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300What is interpolation when using a linear model?Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00
- Find the regression equation for the following paired data. (1, 2), (3, 7), (5, 9), (9, 15), (4, 7)The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 63 inches. Is the result close to the actual weight of 522 pounds? Use a significance level of 0.05. Chest size (inches) 58 50 65 59 59 48 D 414 312 499 450 456 260 Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=+x (Round to one decimal place as needed.) What is the best predicted weight of a bear with a chest size of 63 inches? The best predicted weight for a bear with a chest size of 63 inches is pounds. (Round to one decimal place as needed.) Is the result close to the actual weight of 522 pounds? O A. This result is not very close to the actual weight of the bear. O B. This result is exactly the same as the actual weight of the bear. O C. This result is close to the actual weight of the…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 table shows the shoe size and heights (in.) for 6 men. Shoe size, x 9.0 10.0 11.0 12.0 13.0 13.5 O Height, y 66.0 69.0 70.0 71.0 72.0 73.0 ... Find the regression equation. y =x+ (Round to three decimal places as needed.)
- The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted w Click to copy table. a chest size of 58 inches. Is the result close to the actual weight of 632 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 46 57 53 41 40 40 384 580 542 358 306 320 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y = + x (Round to one decimal place as needed.) What is the best predicted weight of a bear with a chest size of 58 inches? The best predicted weight for a bear with a chest size of 58 inches is pounds. (Round to one decimal place as needed.) Is the result close to the actual weight of 632 pounds? A. This result is close to the actual weight of the bear. B. This result is very close to the actual weight of the bear. C. This result is exactly the same as the actual weight of the bear. D.…The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $6 million. Is the result close to the actual number of viewers, 2.9 million? Use a significance level of 0.05The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 51 inches. Is the result close to the actual weight of 495 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 47 46 49 50 38 48 487 496 546 518 397 510 Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? ŷ = + x (Round to one decimal place as needed.) What is the best predicted weight of a bear with a chest size of 51 inches? The best predicted weight for a bear with a chest size of 51 inches is (Round to one decimal place as needed.) pounds. Is the result close to the actual weight of 495 pounds? OA. This result is close to the actual weight of the bear. OB. This result is exactly the same as the actual weight of the bear. OC. This result is very close to the actual weight of the bear.
- The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 53 inches. Is the result close to the actual weight of 575 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) 44 403 59 55 645 563 59 587 548 57 44 406 Click the icon to view the critical values of the Pearson correlation coefficient r. Critical Values of the Pearson Correlation Coefficient r - X What is the regression equation? y=x (Round to one decimal place as needed.) Critical Values of the Pearson Correlation Coefficient r n από 0.05 a=0.01 NOTE: To test Ho: p=0 0.950 0.990 against H,: p0, reject Ho 5 0.878 0.959 6 0.811 0.917 if the absolute value of ris greater than the critical 7 0.754 0.875 value in the table. 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 W17…The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 45 inches. Is the result close to the actual weight of 263 pounds? Use a significance level of 0.05. Chest size (inches) 47 61 51 47 54 56 Weight (pounds) 282 495 371 349 421 389 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. Question content area bottom Part 1 What is the regression equation? y=enter your response here+enter your response herex (Round to one decimal place as needed.)Refer to the data set:(-1, 2), (1, 3), (1, 5), (2, 7), (3, 8), (4, 11)Part a: Make a scatter plot and determine which type of model best fits the data.Part b: Find the regression equation.Part c: Use the equation from Part b to determine y when x = 10