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An owner of an ice cream shop wants to determine the factors that affect ice cream sales in a day. Over 9 days, he calculates

An owner of an ice cream shop wants to determine the factors that affect ice cream sales in a day. Over 9 days, he calculates the Sales (in $100) of the shop, the high temperature that day (Temp), whether it was a Weekend (1 if it was weekend, 0 if it was a weekday), whether it was Rainy that day (1 if it was rainy, 0 otherwise), and how many Employees simultaneously worked the shop that day. His data is as follows:

TempWeekendRainyEmployeesSales
64114196
81002175
71102225
62004174
76004191
91003195
87113199
76002167
62003168

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76 O 167 OO 62 O W 168 He fits the model: Sales = Bo + B1(Temp) + B2(Weekend) + B3(Rainy) + B4(Employees) +&; and estimates the coefficients using linear regression. 1) Find the regression equation. (Round your answers to 4 decimal points) Sales = (Temp) + (Weekend) + (Rainy)+ (Employees) 2) The owner believes that, everything else held constant, the shop has more sales on weekend days. Test his hypothesis at the a = 0.05 significance level 2.a) Give the null hypothesis for the owner's claim: O Ho: Bo > 0 O Ho: Bo = 0 O Ho: BO 0 O Ho: B1 = 0 O Ho : B1 0O Ho: B2 > 0 O Ho: B2 = 0 O Ho: B2 0 O H1: Bo = 0 OH1 : BO 0 O H1: B1 = 0 OH 1: B1 0 OH1: B 2 = 0 OH1: B2

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