We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is the coefficient of correlation for this data?
Solution:
Correlation coefficient = r = [n∑xy - ∑x∑y]/sqrt[(n∑x^2 – (∑x)^2)*(n∑y^2 – (∑y)^2)]
From given information, we have
n = 10
∑x = 683
∑y = 813
∑x^2 = 47405
∑y^2 = 66731
∑xy = 56089
r = [n∑xy - ∑x∑y]/sqrt[(n∑x^2 – (∑x)^2)*(n∑y^2 – (∑y)^2)]
r = [10*56089 - 683*813]/sqrt((10*47405 - 683^2)*(10*66731 - 813^2))
r = 5611 / 6924.182
r = 0.810348
Correlation coefficient = r = 0.810348
This correlation coefficient indicates that there is a strong positive association exists between two variables.
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What...
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is the line of best fit for this data?
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is an approximate 99% prediction interval for the responsey0atx0= 60?
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is an approximate 99% confidence interval for the mean response atx0= 90?
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is an approximate 99% confidence interval for the intercept of the line of best fit?
We have a dataset with n= 10pairs of observations(xi,yi), and n∑i=1xi= 683,n∑i=1yi= 813,n∑i=1x2i= 47,405,n∑i=1xiyi= 56,089,n∑i=1y2i= 66,731.What is an approximate 99% confidence interval for the slope of the line of best fit?
do not round answers
We have a dataset with n= 10 pairs of observations (Li, Yi), and n n Xi = 683, Yi = 813, i=1 i=1 n n n { x = 47,405, riyi = 56,089, y} = 66,731. i=1 i=1 i=1 What is the coefficient of correlation for this data?
Short Answer Question We have a dataset with n = 10 pairs of observations (Xi, Yi), and Xi = 683, Yi = 813, i=1 n n { x* = 47,405, į ti9; = 56,089, į v = 66, 731. i=1 i=1 i=1 What is the coefficient of correlation for this data?
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We have a dataset with n = 10 pairs of observations (Li, Yi), and n X; = 683, Yi = 813, i=1 i=1 2* = 47, 405, XiYi = 56,089, Cy? = 66, 731. i=1 i=1 i=1 What is the coefficient of correlation for this data? We have a dataset with n = 10 pairs of observations (li, Yi), and di = 683, Yi = 813, n x* = 47,405, x:yi = 56,089, y = 66, 731. i=1 i=1 i=1...
We have a dataset with n = 10 pairs of observations (li, Yi), and n Xi = 683, 683, { y = 813, i=1 i=1 n n n x} = 47, 405, Xiyi = 56,089, y = 66, 731. i=1 i=1 i=1 What is the coefficient of correlation for this data?