Question 13 (4 points)

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An assembly plant tracks the daily productivity of the workers on the assembly line. Each day, for every employee, the plant records the number of hours put in (Hours) and the number of completed packages assembled by the employee (Count). For employee i, the plant manager wants to estimate the following simple linear regression model:

Count_i = {"version":"1.1","math":"$\beta$"}₀ +{"version":"1.1","math":"$\beta$"}₁ Hours_i + {"version":"1.1","math":"$\epsilon$"}_i .

The following table provides some summary statistics based on a sample of 100 data points collected on the same day:

	Hours	Count
Sample mean:	10.04	148.46
Sample standard deviation:	2.08	31.27
Covariance between Hours and Count:	65.01

Based on the above summary statistics, what is the estimated value of {"version":"1.1","math":"$\beta$"}₁? (Select the closest answer.)

Question 13 options:

	0.9981
	-2.0144
	2.0144
	15.0261