The data show the chest size and weight of several bears. Find the regression eq
ID: 3225704 • Letter: T
Question
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 51 inches. Is the result close to the actual weight of 585 pounds? Use a significance level of 0.05.
Chest size (inches)
47
46
49
50
38
48
Weight (pounds)
487
496
546
518
397
510
What is the regression equation?
y= ____+_____x
(Round to one decimal place as needed.)
What is the prediction of the bears weight?
Chest size (inches)
47
46
49
50
38
48
Weight (pounds)
487
496
546
518
397
510
Explanation / Answer
y^ = -32.1 +11.3x
Prediction of bears weight on Chest size = 51 = =-32.061+11.318*51 = 545.157
Now, the residual is 545.157-585 = -39.843
The predicton is 545.2 and the residual is -39.843
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