An engineer wants to predict the value for y when x = 4.5, using the following data set. z = Iny х y 0.2 -1.61 0.3 -1.20 0.5 0.5 3 -0.69 4 -0.69 1.3 0.26 23 0.83 29 1.06 4.5 1.50 8.7 2.16 10 12.0 2.48 Construct a scatterplot of the points (x, y). Should the least-squares line be used to predict the value of y when x = 4.5? If so, compute the least-squares line and the predicted value. If not, explain why not. Construct a scatterplot of the points (x, z), where z = In y. Use the least-squares line to predict the value of z when x = 4.5. Is this an appropriate method of prediction? Explain why or why not. a. b. C. d. Let ? denote the predicted value of z computed in part (d). Let ŷ =. Explain why 9 is a reasonable predictor of the value of y when x= 4.5. e.

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An engineer wants to predict the value for y when x = 4.5, using the following data set.
z = Iny
х
y
0.2
-1.61
0.3
-1.20
0.5
0.5
3
-0.69
4
-0.69
1.3
0.26
23
0.83
29
1.06
4.5
1.50
8.7
2.16
10
12.0
2.48
Construct a scatterplot of the points (x, y).
Should the least-squares line be used to predict the value of y when x = 4.5? If so,
compute the least-squares line and the predicted value. If not, explain why not.
Construct a scatterplot of the points (x, z), where z = In y.
Use the least-squares line to predict the value of z when x = 4.5. Is this an appropriate
method of prediction? Explain why or why not.
a.
b.
C.
d.
Let ? denote the predicted value of z computed in part (d). Let ŷ =. Explain why 9
is a reasonable predictor of the value of y when x= 4.5.
e.
Transcribed Image Text:An engineer wants to predict the value for y when x = 4.5, using the following data set. z = Iny х y 0.2 -1.61 0.3 -1.20 0.5 0.5 3 -0.69 4 -0.69 1.3 0.26 23 0.83 29 1.06 4.5 1.50 8.7 2.16 10 12.0 2.48 Construct a scatterplot of the points (x, y). Should the least-squares line be used to predict the value of y when x = 4.5? If so, compute the least-squares line and the predicted value. If not, explain why not. Construct a scatterplot of the points (x, z), where z = In y. Use the least-squares line to predict the value of z when x = 4.5. Is this an appropriate method of prediction? Explain why or why not. a. b. C. d. Let ? denote the predicted value of z computed in part (d). Let ŷ =. Explain why 9 is a reasonable predictor of the value of y when x= 4.5. e.
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