Answer Happy

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Problem 3. Scientists measure the temperature of a specific place during the morning and noon of the same day, denoted by X and Y respectively. They collected the data presented in the table below for n=5 days. Measures *; y: x y Xiyi i=1 -22 i = 2 -13 i = 3 04 i=4 1 6 i = 5 25 Sums (a) Fill the above table and calculate 7, 7. Sex. Syy and Swy. (b) Find the sample correlation coefficient r and decide if there exists a linear correlation between the two variables. (c) Let Y =a + Bx + e, where the random error is normally distributed and such that E(e) = 0, the linear regression. Find the least squares regression line û = A + Bx. (d) Find the 95% confidence interval for the parameter 8. (e) Test the assumption Hi: a > 0.9 in a significance 1 = 0.1.