In a 2020 report, Lea, an employee at the Ministry of Health, discussed the relationship between mean annual temperature (x) and the mortality rate (y) for a type of skin cancer (Melanoma) in women at a Health Conference in Jamacia. The data below contains the mean annual temperature (in degrees Celsius) and Mortality Index for Melanoma. Use the data presented on these two variables to answer the following questions. Mortality Temperature 102.5 104.5 100.4 95.9 87.0 95.0 88.6 89.2 51.3 49.9 50.0 49.2 48.5 47.8 47.3 45.1 (i) Plot a scatter diagram for the data above (ii) Find the equation of the least squares regression line (iii) Insert the regression line on the scatter diagram (iv) State the coordinates of the y-intercept and the value of the gradient or slope. (v) Calculate the correlation coefficient and interpret the result. (vi) Calculate the coefficient of determination and interpret the result. (vi) Use the equation in (ii) to determine the mortality rate you would expect to see for a temperature of 30 ° C

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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In a 2020 report, Lea, an employee at the Ministry of Health, discussed the relationship between mean
annual temperature (x) and the mortality rate (y) for a type of skin cancer (Melanoma) in women at a Health
Conference in Jamacia. The data below contains the mean annual temperature (in degrees Celsius) and
Mortality Index for Melanoma. Use the data presented on these two variables to answer the following
questions.
Mortality
Temperature
102.5 104.5 100.4 95.9 87.0 95.0 88.6 89.2
51.3 49.9 50.0 49.2 48.5 47.8 47.3 45.1
(i) Plot a scatter diagram for the data above
(ii) Find the equation of the least squares regression line
(iii) Insert the regression line on the scatter diagram
(iv) State the coordinates of the y-intercept and the value of the gradient or slope.
(v) Calculate the correlation coefficient and interpret the result.
(vi) Calculate the coefficient of determination and interpret the result.
(vi) Use the equation in (ii) to determine the mortality rate you would expect to see for
a temperature of 30 ° C
Transcribed Image Text:In a 2020 report, Lea, an employee at the Ministry of Health, discussed the relationship between mean annual temperature (x) and the mortality rate (y) for a type of skin cancer (Melanoma) in women at a Health Conference in Jamacia. The data below contains the mean annual temperature (in degrees Celsius) and Mortality Index for Melanoma. Use the data presented on these two variables to answer the following questions. Mortality Temperature 102.5 104.5 100.4 95.9 87.0 95.0 88.6 89.2 51.3 49.9 50.0 49.2 48.5 47.8 47.3 45.1 (i) Plot a scatter diagram for the data above (ii) Find the equation of the least squares regression line (iii) Insert the regression line on the scatter diagram (iv) State the coordinates of the y-intercept and the value of the gradient or slope. (v) Calculate the correlation coefficient and interpret the result. (vi) Calculate the coefficient of determination and interpret the result. (vi) Use the equation in (ii) to determine the mortality rate you would expect to see for a temperature of 30 ° C
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