D: d. Write a sentence interpeting the value of R Write out the equation of the
ID: 3052676 • Letter: D
Question
D: d. Write a sentence interpeting the value of R Write out the equation of the regression line using the notation 9- +ax where e. you substitute the y interceps and the slope in for bo and bi, respectively and yoru substitute the actual variable names for and f. Write a sentence that imerpeets the value of the slope e The puggle dog breed has maximum height of 15 inches. Based on the equation of h. The actual maximum weight for the puggle broed is given in the data set as 30 i. Write a sentence that interprets the residual found in part h. the regressioe line, what is the predicted maximum weight for the breed? pounds. What is the value of the residual based on your answer in part g?Explanation / Answer
d. R2 i the multiple correlation coefficiant of response variable (here weight) on the independent predictors (here height) i.e R2 is the Ratio of the Explained Sum of Squares to the Total Sum of Squares
e. weight = -50.748+5.743*height
f. slope of the regression gives the change in weight for unit change in height i.e for a unit change in height the weight decreases by 50.743
g. From the regression equation:
weight = -50.748+5.743*15 (as height is given as 15 inches). Thus predicted weight = 35.397 pounds
h. Since actual weight is given as 30 pounds. the residual = Actual - Predicted = 35.397 - 30 = 5.397 pounds
i. The residual shows how far is the predicted from the actual, thus from part h we can say that the predicted differs from the actual by 5.397
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