question archive a) Consider the following linear model: ? = a + 2

a) Consider the following linear model: ? = a + 2

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a) Consider the following linear model: ? = a + 2.3x

This linear model forecasts total book sales (in 1,000s) given the total amount of pre-order sales (in $1000) identifies by variable x. Calculate the value of the intercept (y-intercept) given that if the amount of pre-order sales is $500 then the predicted sales volume is ? = 9400 unites. (only round final answer to 1 decimal place)

b) Assuming y is the dependent variable and x is the independent variable in a linear relationship, find the R2 of the relationship if b1 = -0.8, sy = 3.4, and sx = 1.3 (round intermediate numbers to 4 decimal places and final answer to 2 decimal places)

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a)   8250

b)  0.0936

Step-by-step explanation

a)  we have  ? = a + 2.3x

hence  9400= a + 2.3*500

a  =  9400 -2.3*500

  =8250

b) 

 b1?=r∗sxsy?  Hence  

r=b1?∗sysx?=−0.8∗3.41.3?=−0.30588

Hence  R2  =(-0.30588)2

=0.0936

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