In a regression analysis, the estimated regression equation is given by y = 12 -
ID: 3356506 • Letter: I
Question
In a regression analysis, the estimated regression equation is given by y = 12 - 6x. If SSE = 510 and SST = 1000, then the sample correlation coefficient is: -0.7
a.) How do you get the answer -0.7?
If a data set has SSR = 400 and SSE = 100, then the coefficient of determination is: .80
b.) How do you get the answer .80?
In a regression analysis the standard error is determined to be 4. In this situation the MSE: is 16
c) How do you get the answer 16?
Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained.
y= 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars): is $1,300,000
d.) How do you get the answer 1,300,000?
Explanation / Answer
a.) How do you get the answer -0.7?
first we calculate rsquare as = (1000-510)/1000 = 0.49 , sqrt of 0.49 is r
sqrt(0.49) = 0.7 , negative sign because the regression shows anegative relationship between x and y so -0.7
If a data set has SSR = 400 and SSE = 100, then the coefficient of determination is: .80
b.) How do you get the answer .80?
we know that Rsquare = SSR/SST = 400/(400+100) = 0.8
In a regression analysis the standard error is determined to be 4. In this situation the MSE: is 16
c) How do you get the answer 16?
SE = 4
Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained.
y= 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars): is $1,300,000
d.) How do you get the answer 1,300,000?
put x = 1000 in
y= 50 + 8*X = 50 + 8*1000= 8050
Its not given which variable is Y and which is X , but you simply need to the relevant value of advertising to get the value of sales
Hope this helps !!
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