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are conducting a study testing whether a childs 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) Height (cm) 34 S0 63 59 53 95 130 120 109 102 94 40 Perform a regression of height (dependent variable) on age (independent variable) What is the Y-intercept of the regression line 73.73 O 24.73 с 52.81 68.60 59.70
What is the slope (beta) of the regression line? O 1.52 O 1.61 O 0.52 O0.63 O 1.27 98.73 cm 92.40 cm 121.62 cm 88.99 cm 85.91 cm The regression model predicts that a 5-year-old child (60 months) would be approximately
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Answer #1

Y intercept = 24.73

Slope = 1.61

Prediction =  24.7267 + 1.6149*60

= 121.62 cm

WORKINGS using Data-Regression function in Excel as follows

Book1 - Excel 《Product Activation Failed) Sign in - File InsertDrawPage Layout FormulasData Review View Tell me what you want to do & Share Home Calibri 10A A 25, Wrap Text General ▼ 田EE Paste ta t. Merge & Center-5 . % , 4,0ナ Conditional Format as Cell Insert Delete Format . Sort & Find & Formatting Table Styles Styles Filter-Select- Clipboard Alignment Number Cells Editing B18 x1.61490683229814 1 SUMMARY OUTPUT Regression Statistics 4 Multiple R 5 R Square 6 Adjusted R Square 0.877262224 7 Standard Error 8 Observations 0.94748009 0.89771852 6.186340393 10 ANOVA MS Significance F 12 Regression 13 Residual 14 Total 1 1679.503106 1679.503106 43.88470527 0.001180141 5 191.3540373 38.27080745 6 1870.857143 16 17 Intercept 18 X Variable 1 19 Coefficients Standard Errort Stat 24.72670807 12.17172182 2.031488103 0.097925243-6.561698946 56.0151151 -6.561698946 56.0151151 1.614906832 0.243775962 6.624553213 0.001180141 0.988260772 2.241552892 0.988260772 2.241552892 P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Sheet2 Sheetl Ready + 100 cENG 6:43 AM

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