Exercise 1 Given the data set Xi Yi 1 -2 1 1 2 0 3 7...

 

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Exercise 1 Given the data set Xi Yi 1 -2 1 1 2 0 3 7 -1 -2 answer the following: (i) Compute the mean of the values , and the mean y of the values y₁. (2 mark) (ii) Calculate the Pearson correlation coefficient of this data set. What connection between the variables and y does this suggest ? (2 mark) (iii) Compute gradient m and intercept b of the least squares linear regression model for this data set. (2 marks) (iv) Use this model to predict the y-value at x = 2. (1 mark) [total marks 7] Exercise 1 Given the data set Xi Yi 1 -2 1 1 2 0 3 7 -1 -2 answer the following: (i) Compute the mean of the values , and the mean y of the values y₁. (2 mark) (ii) Calculate the Pearson correlation coefficient of this data set. What connection between the variables and y does this suggest ? (2 mark) (iii) Compute gradient m and intercept b of the least squares linear regression model for this data set. (2 marks) (iv) Use this model to predict the y-value at x = 2. (1 mark) [total marks 7]