Attempts: Score: /3 Aa Aa 9. Regression statistics You are conducting a study te
ID: 1170285 • Letter: A
Question
Attempts: Score: /3 Aa Aa 9. Regression statistics You are conducting a study testing whether a child's age is a good predictor of his or her height. You have collected the following data from a random sample of seven children Age (months) 34 50 63 Height (cm) 115 109 53 101 102 94 40 Perform a regression of height (dependent variable) on age (independent variable) What is the Y-intercept of the regression line? 59.56 O 59.70 O 43.73 O 24.73 68.60 What is the slope (beta) of the regression line? O 1.44 1.31 O 0.81 O 1.61 0.52 The regression model predicts that a 3-year-old child (36 months) would be approximately tall. 99.41 cm 98.73 cm 85.91 cm 88.99 cm 92.40 cnm Graded
Explanation / Answer
The Y intercept=59.70
Slope of the Line (Beta)=0.8138
The equation is
3 years=3*12=36 months
Y is height, X is Age in months
Our regression equation is
Y=X*0.8138+59.70
Y(height)= 36(age)*0.8138+59.70
=88.9968 cm
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