Calculate the co-efficient of correlation and the lines of regression for the following data: 1 2 3 4 5 7 8 9 X= y= 9. 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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- For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or older who are college graduates in a particular city, by year. Based on the set of data given in Table 5, calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient. Round to three decimal places of accuracyFor a data set of brain volumes (cm^3) and IQ scores of eight males, the linear correlation coefficient is r= 0.848. Use the table available below to find the criticle values of r. Based on comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?Here is a bivariate data set.x y71 461 555 6148 -876 3126 7074 -62 Find the correlation coefficient and report it accurate to four decimal places.r =
- 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.Make up a table with five pieces of bivariate data and determine the correlation coefficient, r. Then switch the values of the x’s and y’s and compute the correlation coefficient. Has the value of r changed.The readout of the correlation is r = 0.8162 with a p-value of 0.0022. What does the scatterplot reveal that is missed from the correlation results?
- If the correlation coefficient r is equal to 0.321 , find the coefficient of determinationDetermine the critical r values and if the correlation is significantGiven the data in the image, what would the correlation coefficients be with and without the outlier? Would the inclusion of the outlier change the evidence for or against a significant linear correlation?
- Listed below are the overhead widths (in cm) of seals measured from photographs and the weights (in kg) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the critical values of r using α=0.01. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals?For a data set of brain volumes (cm3) and IQ scores of seven males, the linear correlation coefficient is r=0.807. Use the table available below to find the critical values of r. Based on a comparison of the linear correlation coefficient r and the critical values, what do you conclude about a linear correlation?Here is a sample of 20, the correlation between two variables is .5. Determine if this correlation is significant at the .05 level by calculating the t value