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A multiple linear regression model is used to predict the mid-upper arm circumference (MUAC) of teenagers. The explanatory variables in the model are height (cm)

A multiple linear regression model is used to predict the mid-upper arm circumference (MUAC) of teenagers. The explanatory variables in the model are height (cm) and household income measured in European currency (Euro).

Estimate Std.Error t value Pr(>|t|)
(Intercept) 6.8850 5.7132 1.205 0.23420
height_cm 0.1011 0.0368 2.746 0.00852
hhincome -0.0007 0.0014 -0.526 0.60142

Residual Std error: 2.459 on 47 degrees of freedom

Multiple R-squared: 0.1397, Adjusted R-squared: 0.1031

F-statistic: 3.817 on 2 and 47 DF, p-value: 0.0291

a)What is the estimated linear regression equation?

b)What is the null hypothesis tested on the line where the p-value is 0.00852?

c)How many individuals were included in this analysis?

d)How would you calculate a 95% confidence interval for height_cm?

e)How would you interpret the slope associated with height_cm?

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