Question

Sarah is the office manager for a group of financial advisors who provide financial services for individuals. She would like to investigate whether a relationship between the number of presentations made to prospective certain month and the number of new clients per month. The accompanying table shows the number of presentations and corpording new clients for a random sample of employees Sarah would like to se umple regression analysis to estimate the number of new clients per month based on the number of presentations made by the employee per month. Which one of the following woments describes the results of the hypothesis that the population ope is not to our -0.059 Click the icon to view the rests for the random sample O A. Because the absolute value of the state is less than the absolute value of the critical value, we fail to reject the nul hypothesis and cannot conclude that the population wipe is not equal to 10 OB. Because the absolute value of the test is less than the site value of the value, we can react the rulotesis and conclude that the population siope is equal to zoo OC. Because the absolute value of the test statistic is greater than the absolute value of the critical value, we can reject the rul hypothesis and conclude that the population slope is not equal to 700 OD. Because the absolute value of the test statistic is greater than the absolute value of the critical value, we foto reject the ul hypothesis and conclude that the position open to zero Sample results Employee Presentations 7 9 9 10 New Clients 2 3 4 3 5 2 12 Print Done

Answer 1

	ΣX	ΣY	Σ(x-x̅)²	Σ(y-ȳ)²	Σ(x-x̅)(y-ȳ)
total sum	58.00	20.00	15	5	5
mean	9.67	3.33	SSxx	SSyy	SSxy

estimated slope , ß1 = SSxy/SSxx =   4.6667/15.3333=   0.3043

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slope hypothesis test      
Ho:   β1=   0
H1:   β1╪   0
n=   6  
alpha =   0.01  
estimated std error of slope =Se(ß1) = Se/√Sxx =    0.9891/√15.3333=   0.2526
t stat = estimated slope/std error =ß1 /Se(ß1) =    (0.3043-0)/0.2526=   1.205
Degree of freedom ,df = n-2=   4  
t-critical value=    4.6041   [excel function: =T.INV.2T(α,df) ]

Fail to reject Ho

answer: option A)

OA. Because the absolute value of the best statistics less than the absolute value of the critical value, we the hypothesis and cannot conclude that the population siope noteerd

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