Refer to the following data, which contains the percentage change (X) in a stock market index over the first five trading days of the year and percentage change (Y) in the index over the whole year.

a. Estimate the linear regression of Y on X.

b. Provide interpretations of the intercept and slope of the sample regression line.

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(X) 1.4 0.3 -0.1 2.8 2.2 -1.6 -1.6 5.5 -1.2 1.4 1.5-4.7 0.6 (Y) 14.7-9.3 19.8 20.3 -3.6 27.8 22.6 2.3 11.8 28-4.3 20.5 -1.1