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- 1. Based on a sample of size 6, if the mean weight of 60-year old individuals at the time of survey was 200 lbs and the mean number of years they lived after the survey was 7.3 years and if the corresponding standard deviations were 35.8 lbs and 3.3 years and the correlation based on these six pairs is -0.82, what would be slope and intercept for the line of best fit? A. Slope = 22.4, intercept = -0.08 B. Slope = -0.08, Intercept = 22.4 C. Slope = 22.4, intercept = 0.08 D. Slope = 0.08, Intercept = 22.4 2. What would be the line of best fit in question 1? A. y = 22.4 - 0.08x B. y = 22.4 + 0.08x C. y = -22.4 + 0.08x D. y = -22.4 - 0.08x 3. Based on your line of best fit in question 2, if a person weighs 190 lbs, how many more years you would expect him to be alive? A. 2 years B. 4 years C. 8 years D. 12 yearsThe correlation between two variables is a measure of the degree to which O Data points cluster together around an imaginary straight line. -Data points cluster together around an imaginary straight line. -A person's value on a variable Y can be predicted by the person's value on variable X. -Both A and B -Neither A nor BSuppose that for variables x and y, we find that the correlation coefficent r= .750. Assuming that α=.05α=.05, what is the minimum number of data points n, that is requried so that a signficant linear correlation is present? a. n=6 b. n=7 c. n=8 d. It cannot be determined from the given data
- The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.920 Remove the data entry for the man who is 50 years old and has a systolic blood pressure of 198 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Age,_x Systolic_blood_pressure,_y16 10825 12238 14445 13450 19863 18372 19932 13158 17722 119 The new correlation coefficient r ____going from 0.920 to ____ (Round to three decimal places as needed.) .After 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.Given that the linear correlation coefficient r is found to be 0.867, what is the proportion of the variation in the left arm measurements that is explained by the relationship between the right and left arm measurements? Right arm 102 101 94 79 79 Left arm 175 169 182 146 144
- The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.911. Remove the data entry for the man who is 50 years old and has a systolic blood pressure of 199 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Age,_x Systolic_blood_pressure,_y17 10924 12338 14545 13350 19964 18371 19828 13058 17322 117 The new correlation coefficient r _____ going from 0.911 to ______.Compute the value of correlation coefficient of using data in table 1 for the number of hrs. a person works per week and thenumber of accidents or injuries that the person has over a peroid of one week. Table :1 Hrs.Worked ( x ) No. of accidents( y ) 30 2 42 3 25 4 44 8 56 5The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) are shown in the attached data table with a sample correlation coefficient r of 0.910. Remove the data entry for the man who is 49 years old and has a systolic blood pressure of 199 millimeters of mercury from the data set and find the new correlation coefficient. Describe how this affects the correlation coefficient r. Use technology. Age, x Systolic blood pressure, y 16 110 26 122 39 142 44 132 49 199 64 185 72 199 31 130 56 174 23 117 Click the icon to view the data set. The new correlation coefficient r ▼ A. gets stronger, b.gets weaker, C.stays the same, going from 0.910 to= . (Round to three decimal places as needed.)
- Imagine that there is a correlation of r = 0.65 between variable X and variable Y. Based on the correlation between these two variables (and only these two variables), what is a person's predicted value on variable Y, when his X value on variable X is a z score of 1.5? Please provide your answer as a z score with a minimum of three decimal places.In order to indicate a strong negative correlation between variables, the correlation coefficient will be near 0 Greater than or equal to 0.7 near -10 Less than or equal to -0.7 or greater than or equal to 0.7 Less than or equal to -0.7 near 10 near 1/2A pediatrician wants to determine the relation that may exist between a child's height and head circumference. She randomly selects eleven 3-year-old children from her practice and measures their heights and head circumference. According to the data, the linear correlation coefficient between the height and head circumference of a child is 0.918. Compute the coefficient of determination, R squared.