Model Summary a Predictors Constant BLOOD LEAD VALUES .pdf

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This document outlines instructions for using simple linear regression to examine the relationship between blood lead values and finger-wrist tapping test scores, including stating the null hypothesis, interpreting the R-Square value, reporting the unstandardized regression coefficient and p-value, writing the estimated equation, calculating a predicted score, and interpreting the slope at an alpha level of 0.05.

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Model Summary a. Predictors: (Constant), BLOOD LEAD VALUES (MICROGRAMS/100ML)
ANnI/ aN a. Dependent Variable: FINGER-WRIST TAPPING TEST SCORE RIGHT HAND b.
Predictors: (Constant), BLOOD LEAD VALUES (MICROGRAMS/100ML) Coefficients aUse simple
linear regression to examine the effect of blood lead values (SPSS variable name: Id73) on
neurological problems as measured by the finger-wrist tapping test (fwt_r), assuming that finger-
wrist tapping scores are approximately normally distributed (8 points). a. State the null hypothesis
( 1 point). b. Please interpret the R Square value. Include both the independent and dependent
variable in your response. ( 1 point). c. What is the unstandardized regression coefficient and
associated p-value for the independent variable ( 2 points)? d. Write the estimated equation for
this analysis with the y-intercept, regression slope and the variables (2 points). e. Using the
formula in the previous question, if an individual's blood lead level is 85 what is the predicted
finger-wrist tapping score? (1 point) f. Assuming an alpha level of 0.05 , how would you interpret
the slope estimate and its statistical significance? (1 point)?

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Page 1 of 18 Part A: Multiple Choice (1–11) ______1. Using the “eyeball” method, the regression line = 2+2x has been fitted to the data points (x = 2, y = 1), (x = 3, y = 8), and (x = 4, y = 7). The sum of the squared residuals will be a. 7 b. 19 c. 34 d. 8 ______2. A computer statistical package has included the following quantities in its output: SST = 50, SSR = 35, and SSE = 15. How much of the variation in y is explained by the regression equation? a. 49% b. 70% c. 35% d. 15% ______3. In testing the significance of b, the null hypothesis is generally that a. β = b b. β 0 c. β = 0 d. β = r ______4. Testing whether the slope of the population regression line could be zero is equivalent to testing whether the population _____________ could be zero. a. standard error of estimate c. y-intercept b. prediction interval d. coefficient of correlation ______5. A multiple regression equation includes 4 independent variables, and the coefficient of multiple determination is 0.64. How much of the variation in y is explained by the regression equation? a. 80% b. 16% c. 32% d. 64% ______6. A multiple regression analysis results in the following values for the sum-of-squares terms: SST = 50.0, SSR = 35.0, and SSE = 15.0. The coefficient of multiple determination will be a. = 0.35 b. = 0.30 c. = 0.70 d. = 0.50 ______7. In testing the overall significance of a multiple regression equation in which there are three independent variables, the null hypothesis is a. : b. : c. : d. : ______8. In a multiple regression analysis involving 25 data points and 4 independent variables, the sum-of-squares terms are calculated as SSR = 120, SSE = 80, and SST = 200. In testing the overall significance of the regression equation, the calculated value of the test statistic will be a. F = 1.5 c. F = 5.5 b. F = 2.5 d. F = 7.5 ______9. For a set of 15 data points, a computer statistical package has found the multiple regression equation to be = -23 + 20+ 5 + 25 and has listed the t-ratio for testing the significance of each partial regression coefficient. Using the 0.05 level in testing whether = 20 differs significantly from zero, the critical t values will be a. t = -1.960 and t= +1.960 b. t = -2.132 and t = +2.132 c. t = -2.201 and t = +2.201 d. t = -1.796 and t = +1.796 ______10. Computer analyses typically provide a p-Value for each partial regression coefficient. In the case of , this is the probability that a. = 0 b. = c. the absolute value of could be this large if = 0 d. the absolute value of could be this large if 1 ______11. In the multiple regression equation, = 20,000 + 0.05+ 4500 , is the estimated household income, is the amount of life insurance held by the head of the household, and is a dummy variable ( = 1 if the family owns mutual funds, 0 if it doesn’t). The interpretation of = 4500 is that a. owing mutual funds increases the estimated income by $4500 b. the average value of a mut.

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