Calculate the co-efficient of correlation and the lines of regression for the following data: 1 2 3 4 5 6 8 y= 9 8 10 12 11 13 14 16 15. Obtain an estimate of y which should correspond on the average to x= 6. 2.
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.describe the distribution of the data points in the x-y coordinate system. and create a line equation that can represent it. Also calculate the correlation coefficientAfter a first-order model was fitted to the data, the coefficient of correlation between the usage in hours per week (x) of a particular brand of computer and the maintenance cost of the computer (y) is calculated as 0.84. Interpret the value of the coefficient of determination.
- A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y).The results of the regression were:y=ax+b a=-1.38 b=39.555 r2=0.693889 r=-0.833 Assume the correlation is significant, and use this to predict the number of situps a person who watches 7 hours of TV can do (to one decimal place)The correlation coefficient r between the age of a homeowner, x, and the number of years remaining on the homeowner's mortgage, y, is 0.485. What percent of the variation in the number of years remaining on a mortgage can be explained by differences in homeowners' ages?Describe the relationship between x and y in a positive correlation and in a negative correlation. In the calculations for the correlation coefficient, what does the sum of products of deviations measure and how is this number used in the calculation of r?
- City planners compile data on buildings in a city. For each building, they record the numberof stories (floors) as well as the height of the building in feet. The number of stories has anaverage of 30 stories, with an SD of 15 stories. The height has an average of 400 feet with an SDof 90 feet. The correlation is strong but not perfect, with r = 0.8. A scatterplot with stories onthe horizontal axis and height on the vertical axis is football shaped.(a) For each variable, circle all the terms that are applicable.Stories (floors): quantitative qualitative discrete continuousHeight: quantitative qualitative discrete continuous (b) About what percent of all the buildings are more than 500 feet tall? _____________%(c) About what percent of buildings with 50 stories are over 500 feet tall? ____________%A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is = 1.15 and 81 = 0.11, while for the 20-mil film, the data yield 2 = 1.06 and 82 = 0.09. Note that an increase in film speed vould lower the value of the observation in microjoules per square inch. (a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765). The data the claim that reducing the film…Find Co-efficient of correlation from following results. N = 10, Mean x = 5, Mean y = 7 and sun of square deviation from mean or Edx? = 35 and Edy? = 80. Further, sum of products of deviations of x and y or Edxdy = 50. %3D
- Assume the correlation coefficient between size of a house in square feet X and monthly electric bill Y is +0.97 Describe how the scatter plot should look in both strength and direction?A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=ax+b a=-0.759 b=37.685 r2=0.674041 r=-0.821 Assume the correlation is significant, and use this to predict the number of situps a person who watches 11 hours of TV can do (to one decimal place)A photoconductor film is manufactured at a nominal thickness of 25 mils. The product engineer wishes to increase the mean speed of the film, and believes that this can be achieved by reducing the thickness of the film to 20 mils. Eight samples of each film thickness are manufactured in a pilot production process, and the film speed (in microjoules per square inch) is measured. For the 25-mil film, the sample data result is = 1.13 and 81 = 0.11, while for the 20-mil film, the data yield = 1.08 and 82 = 0.09. Note that an increase in film speed wwould lovwer the value of the observation in microjoules per square inch. (a) Do the data support the claim that reducing the film thickness increases the mean speed of the film? Use a = 0.10 and assume that the two population variances are equal and the underlying population of film speed is normally distributed. What is the P-value for this test? Round your answer to three decimal places (e.g. 98.765). The data v the claim that reducing the…