The Child Health and Development Studies investigate a range of topics. One study considered all pregnancies between 196

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The Child Health And Development Studies Investigate A Range Of Topics One Study Considered All Pregnancies Between 196 1 (119.33 KiB) Viewed 25 times

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 = 0.3733. Round all calculated answers to 4 decimal places. Baby Birthweight and Gestation 280 300 320 Sin in days 160 140 Birthweight in ounces 120 100 80 240 260 340
Gestation in days Variables Mean Sample SD Birthweight 121.436 17.9412 Gestation 281.1038 14.0899 1. The relationship between Birthweight and Gestation is best described as ??? and ??? 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? 4. A different study into the linear relationship between baby gestation time and birthweight yielded an R² value of 0.0931. Which of the following is a correct interpretation of their R² value? OA. There is little evidence that the linear model is a good fit. OB. 9.31% of the variation in Birthweight can be explained by the linear relationship with Gestation. OC. 0.0931% of the variation in Gestation can be explained by the linear relationship with Birthweight. O D. 9.31% 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 286 days and an observed birthweight of 120 ounces. The model estimates the birthweight for this baby to be 123.763 ounces. Calculate the residual for this baby. Residual = Choose from the dropdown menus to correctly interpret the residual. The regression model ??? the birthweight for this baby because the residual is ???
6. Below are a scatterplot of residuals by fitted values, and a histogram and Q-Q plot of the residuals. Residual Plot Histogram of residuals Q-Q plot of Residuals 9 å å å 9 4 100 110 140 -40 -20 20 40 -2 3 120 Fitted Values 0 Residuals -1 0 1 Theoretical Quantiles Why do researchers look at these plots of the residuals? (check all that apply): A. To determine if the residuals are roughly normally distributed. OB. To measure the variability of the slope and intercept of the model. OC. To judge whether the variability of the data about the regression line is nearly constant. D. To make sure the residuals follow a linear trend. OE. To explain the strength of the evidence of a linear relationship between the residuals and fitted values. OF. To investigate whether the data has an underlying structure or pattern, which may indicate the observations are not independent. 130 2