Use the following to answer the question. A multiple linear regression model is

Question

Use the following to answer the question.

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

Residuals:

Min    1Q Median 3Q Max

-5.188 -1.851 -0.012 1.581 5.796

Coefficients:

Estimate    Std. Error    t value    Pr(>|t|)

(Intercept) 6.884958 5.713208 1.205    0.23420

height_cm 0.101084    0.036811    2.746    0.00852

hhincome -0.000730 0.001388    -0.526    0.60142

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Residual standard 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

Question: Which of the following statements is true?

a. Because two out of the three p-values are greater than 0.05 we have evidence that the observations in the data set are not independent.

b. The model output indicates that the distribution of the residuals is left-skewed.

c. The interpretation of the slope associated with height cm is that as height increases by 0.1 centimeter, hhincome decrease by 0.0007 birr.

d. Because the p-value associated with hhincome is greater than 0.05 we have evidence that there is a nonlinear association between hhincome and MUAC.

e. None of the above are true

Explanation / Answer

c. The interpretation of the slope associated with height cm is that as height increases by 0.1 centimeter, hhincome decrease by 0.0007 birr.

Is the correct answer

Explanation : here from the table we can get that the estimate of height is 0.1 it signifies that the if one unit of height increases then the response will increase by 0.1 same for the hhincome

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