Linear model: predicted age = 0.1 * weight + 15 r = 0.7 How much variation is accounted for by the model?
The coefficient of determination i.e. r2 compute the proportion of the variation that explained by the regression model.
r2=(0.72) =0.49
Therefore 49% variation is accounted by the model.
Linear model: predicted age = 0.1 * weight + 15 r = 0.7 How much variation...
For a linear regression model with a R2 of 0.75, how much variation of the data is explained by this model? O 25% 35% ○ 75% cannot be decided
If my r squared value is 95.5%, then how much of the variation is not explained by the model? It seems too simple for the answer to be 4.5%. Please help!
Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the scatter plot is shown below. Round all calculated results to four decimal...
please answer question 7 (confidence interval). (14 points) Birth weight and gestational age. The Child Health and Development Studies considered pregnancies among women in the San Francisco East Bay area. Researchers took a random sample of 50 pregnancies and used statistical software to construct a linear regression model to predict a baby's birth weight in ounces using the gestation age (the number of days the mother was pregnant). A portion of the computer output and the scatter plot is shown...
3) Listed below are prices of a certain model automobile and the age of the automobile in years. 1 1 Age Price 3 4 2 2 3 4 15,500 14,995 30,795 28,995 23,995 20,900 20,500 3 4 19,995 19,888 29,995 A scatterplot of the table data shows an approximately linear relationship between age and price. The linear correlation coefficient is r = -0.8632, and the regression equation is û = 34,052 – 4257.8x. (a) At the 0.05 significance level, is...
Linear regression analysis of the data revealed the following: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .695a .483 .478 13.02473 a. Predictors: (Constant), exercise, gender, subject's age, depressed state of mind ANOVAa Model Sum of Squares df Mean Square F Sig. 1 Regression 65230.870 4 16307.718 96.129 .000b Residual 69893.149 412 169.644 Total 135124.019 416 a. Dependent Variable: Life Purpose and Satisfaction b. Predictors: (Constant), exercise, gender, subject's age, depressed state of...
The authors of the paper "Weight-Bearing Activity during Youth Is a More Important Factor for Peak Bone Mass than Calcium Intake" studied a number of variables they thought might be related to bone mineral density (BMD). The accompanying data on x = weight at age 13 and y = bone mineral density at age 27 are consistent with summary quantities for women given in the paper. Weight (kg) BMD (g/cm2) 54.4 1.15 59.3 1.26 74.6 1.42 62.0 1.06 73.7 1.44...
how much data variation is explained Variables Entered/Removed Variables Entered Variables Removed Model Method x2,x1 Enter a Dependent Variable y b.All requested variables entered Model Summary Adjusted R Square Std Eror of the Estimate R Square Model 690 476 440 15.3096 a Predictors (Constant, 12, x ANOVA Variables Entered/Removed Variables Entered Variables Removed Model Method x2,x1 Enter a Dependent Variable y b.All requested variables entered Model Summary Adjusted R Square Std Eror of the Estimate R Square Model 690 476...
Table 1: How to interpret logged models, table adapted from Bailey's textbook model equation Log-linear In Y; = Bo + BiX; + ei Linear-log Y; = Bo + B, In Xi + ei interpretation A one-unit increase in X is associated with a B1 percent change in Y (on a 0-1 scale). A one percent increase in X is associated with a B1/100 change in Y. A one-percent increase in X is associated with a B1 percent change in Y...
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 15 26 y 60 95 140 150 177 x=62 x2=1090 y=622 y2=86,054 xy=9,282 a) Compute r. (Round your answer to three decimal places.)