1. A computer manager needs to know how efficiency of her new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes, she obtains the following results, Data size (gigabytes) 6 7 7 8 10 10 15 Processed requests 40 55 50 41 17 26 16 i. Draw the scatterplot for the data. Be sure to label your axes. ii. Is there any correlation between the processing request and the size of incoming data? What is the correlation coefficient? iii. By what percentage is the processing time dependent on the size of incoming data? iv. Compute a least square regression line for regressing processing request on the size of incoming data. v. Use your regression equation to predict the processing request for an incoming data of size 17.0 gigabytes vi. Is the slope statistically significant at α = 5% ?
1. A computer manager needs to know how efficiency of her new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes, she obtains the following results, Data size (gigabytes) 6 7 7 8 10 10 15 Processed requests 40 55 50 41 17 26 16 i. Draw the scatterplot for the data. Be sure to label your axes. ii. Is there any correlation between the processing request and the size of incoming data? What is the correlation coefficient? iii. By what percentage is the processing time dependent on the size of incoming data? iv. Compute a least square regression line for regressing processing request on the size of incoming data. v. Use your regression equation to predict the processing request for an incoming data of size 17.0 gigabytes vi. Is the slope statistically significant at α = 5% ?
1. A computer manager needs to know how efficiency of her new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes, she obtains the following results, Data size (gigabytes) 6 7 7 8 10 10 15 Processed requests 40 55 50 41 17 26 16 i. Draw the scatterplot for the data. Be sure to label your axes. ii. Is there any correlation between the processing request and the size of incoming data? What is the correlation coefficient? iii. By what percentage is the processing time dependent on the size of incoming data? iv. Compute a least square regression line for regressing processing request on the size of incoming data. v. Use your regression equation to predict the processing request for an incoming data of size 17.0 gigabytes vi. Is the slope statistically significant at α = 5% ?
1. A computer manager needs to know how efficiency of her new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes, she obtains the following results, Data size (gigabytes) 6 7 7 8 10 10 15 Processed requests 40 55 50 41 17 26 16 i. Draw the scatterplot for the data. Be sure to label your axes. ii. Is there any correlation between the processing request and the size of incoming data? What is the correlation coefficient? iii. By what percentage is the processing time dependent on the size of incoming data?
iv. Compute a least square regression line for regressing processing request on the size of incoming data. v. Use your regression equation to predict the processing request for an incoming data of size 17.0 gigabytes vi. Is the slope statistically significant at α = 5% ?
Definition Definition Statistical measure used to assess the strength and direction of relationships between two variables. Correlation coefficients range between -1 and 1. A coefficient value of 0 indicates that there is no relationship between the variables, whereas a -1 or 1 indicates that there is a perfect negative or positive correlation.
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