4. For page 16 of chapter 9 notes, a regression model is provided and a prediction is made for x = 29cm. Make a prediction for x = 33.5cm that is correctly rounded and then select the best conclusion sentence for the prediction you have made? none of the other answers is correct y=188.7 A person with shoe size 33.5cm is predicted to be 188.7cm tall. y=188.8 A person with shoe size 33.5cm is predicted to be 188.8cm tall. y=188.7 A person with shoe size 33.5cm will be 188.7cm tall. O y=188.8 A person with shoe size 33.5cm will be 188.8cm tall.

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Attached a picture of the notes in reference to the question, any help appreciated. Thanks.

4. For page 16 of chapter 9 notes, a regression model is provided and a prediction is made for x =
29cm. Make a prediction for x = 33.5cm that is correctly rounded and then select the best
conclusion sentence for the prediction you have made?
none of the other answers is correct
O y=188.7 A person with shoe size 33.5cm is predicted to be 188.7cm tall.
O y =188.8 A person with shoe size 33.5cm is predicted to be 188.8cm tall.
O y=188.7 A person with shoe size 33.5cm will be 188.7cm tall.
O y=188.8 A person with shoe size 33.5cm will be 188.8cm tall.
Transcribed Image Text:4. For page 16 of chapter 9 notes, a regression model is provided and a prediction is made for x = 29cm. Make a prediction for x = 33.5cm that is correctly rounded and then select the best conclusion sentence for the prediction you have made? none of the other answers is correct O y=188.7 A person with shoe size 33.5cm is predicted to be 188.7cm tall. O y =188.8 A person with shoe size 33.5cm is predicted to be 188.8cm tall. O y=188.7 A person with shoe size 33.5cm will be 188.7cm tall. O y=188.8 A person with shoe size 33.5cm will be 188.8cm tall.
Before making any predictions with this equation, always complete a hypothesis test to see if
there is linear correlation.
Example
Using a sample of 40 pairs of shoe print lengths and heights, we get the r-values and
regression models given below. Use these to predict the height of a person with a
shoe print length of 29 cm.
Now, the regression line in the graph does fit the points well, and a linear
correlation hypothesis test gives us r = 0.813 and p-value = 0.000.
So we can make predictions.
Using technology we obtain the regression equation and scatterplot:
y = 80.9 +3.22x
Height (cm)
200
190-
180
170
160
150
24
26
28
30
32
Shoe Print Length (cm)
34
y=80.9+3.22x
= 80.9+3.22 (29)
= 174.3 cm
The given shoe length of 29 cm is not beyond the scope of the available data, (so it is
not extrapolation, requirement #4 above) so it is okay to substitute in 29 cm into the
regression model:
36
A person with a shoe length of 29 cm is predicted to be 174.3 cm tall.
Transcribed Image Text:Before making any predictions with this equation, always complete a hypothesis test to see if there is linear correlation. Example Using a sample of 40 pairs of shoe print lengths and heights, we get the r-values and regression models given below. Use these to predict the height of a person with a shoe print length of 29 cm. Now, the regression line in the graph does fit the points well, and a linear correlation hypothesis test gives us r = 0.813 and p-value = 0.000. So we can make predictions. Using technology we obtain the regression equation and scatterplot: y = 80.9 +3.22x Height (cm) 200 190- 180 170 160 150 24 26 28 30 32 Shoe Print Length (cm) 34 y=80.9+3.22x = 80.9+3.22 (29) = 174.3 cm The given shoe length of 29 cm is not beyond the scope of the available data, (so it is not extrapolation, requirement #4 above) so it is okay to substitute in 29 cm into the regression model: 36 A person with a shoe length of 29 cm is predicted to be 174.3 cm tall.
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