6. Data on GNP per capita and Birth Rate (births per thousand inhabitants) for a sample of 14 countries is displayed below, along with summary statistics (correlation coefficient, sample means and standard deviations for each of the variables): GNP per cap Birth Rate Country Bangladesh Tanzania 140 47 280 320 47 Sierra Leone 46 Sudan 380 47 Kenya Indonesia 420 55 530 1910 2560 4220 35 Panama 30 Chile 25 Venezuela Turkey Malaysia Nepal Malawi 35 1540 33 1840 31 150 200 44 56 Argentina 2560 20 1217.857143 standard deviation 1253.335111 correlation coeffici -0.730642881, mean 39.35714286 11.02170685 a. The equation for a line of regression, ŷ = a + bx, is: bırth rate = a + bgnp where gnp is the explanatory variable for the birth rate, the response variable. Using the summary statistics given above, show how to calculate both the slope coefficient and the intercept (do not round any numbers until the end). Show all working out.

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.