Studies investigate a range of topic study considered all pregnancies between 1960 and 1967 among women i o East Bay area. For each baby in the study, the baby's weight at (Birthweight) and the length of the pregnancy in days (Gestation) was recorded. The scatter plot and a summary of a subset of the data is given below. The correlation between Gestation and Birthweight was found to be r = 0.4004. Round all calculated answers to 4 decimal places. Variables Birthweight Gestation 1. The relationship between Birthweight and Gestation is best described as ??? 2. Calculate the slope and intercept for the linear regression that predicts Birthweight from Gestation. Note: Do not use rounded values for subsequent calculations! Slope: and Intercept: 3. What is the R2 for this study's regression of Birthweight from Gestation? ✓ and ??? Birthweight in ounces Baby Birthweight and Gestation 200 Mean 120.3073 279.6146 250 Gestation in days 300 Sample SD 18.7893 16.6242

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The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. For each baby in the study, the baby's weight at birth in ounces
(Birthweight) and the length of the pregnancy in days (Gestation) was recorded. The scatter plot and a summary of a subset of the data is given below. The correlation between Gestation and Birthweight was found to be r = 0.4004.
Round all calculated answers to 4 decimal places.
1. The relationship between Birthweight and Gestation is best described as ???
Variables
Birthweight
Gestation
2. Calculate the slope and intercept for the linear regression that predicts Birthweight from Gestation.
Note: Do not use rounded values for subsequent calculations!
Slope:
and Intercept:
Vand ???
Residual =
140
Birthweight in ounces
Baby Birthweight and Gestation
200
Mean
120.3073
279.6146
250
Gestation in days
300
Sample SD
18.7893
16.6242
3. What is the R² for this study's regression of Birthweight from Gestation?
4. A different study into the linear relationship between baby gestation time and birthweight yielded an R² value of 0.173. Which of the following is a correct interpretation of their R2 value?
A. 0.173% of the variation in Gestation can be explained by the linear relationship with Birthweight.
OB. 17.3% of the variation in Birthweight can be explained by the linear relationship with Gestation.
OC. There is little evidence that the linear model is a good fit.
OD. 17.3% of the variation in Gestation can be explained by the linear relationship with Birthweight.
5. A baby in the data set had a gestation time of 274 days and an observed birthweight of 137 ounces. The model estimates the birthweight for this baby to be 117.766 ounces.
Calculate the residual for this baby.
Transcribed Image Text:The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 1960 and 1967 among women in the Kaiser Foundation Health Plan in the San Francisco East Bay area. For each baby in the study, the baby's weight at birth in ounces (Birthweight) and the length of the pregnancy in days (Gestation) was recorded. The scatter plot and a summary of a subset of the data is given below. The correlation between Gestation and Birthweight was found to be r = 0.4004. Round all calculated answers to 4 decimal places. 1. The relationship between Birthweight and Gestation is best described as ??? Variables Birthweight Gestation 2. Calculate the slope and intercept for the linear regression that predicts Birthweight from Gestation. Note: Do not use rounded values for subsequent calculations! Slope: and Intercept: Vand ??? Residual = 140 Birthweight in ounces Baby Birthweight and Gestation 200 Mean 120.3073 279.6146 250 Gestation in days 300 Sample SD 18.7893 16.6242 3. What is the R² for this study's regression of Birthweight from Gestation? 4. A different study into the linear relationship between baby gestation time and birthweight yielded an R² value of 0.173. Which of the following is a correct interpretation of their R2 value? A. 0.173% of the variation in Gestation can be explained by the linear relationship with Birthweight. OB. 17.3% of the variation in Birthweight can be explained by the linear relationship with Gestation. OC. There is little evidence that the linear model is a good fit. OD. 17.3% of the variation in Gestation can be explained by the linear relationship with Birthweight. 5. A baby in the data set had a gestation time of 274 days and an observed birthweight of 137 ounces. The model estimates the birthweight for this baby to be 117.766 ounces. Calculate the residual for this baby.
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