1a. Which is true of the slope of the least-squares regression line? A) It has t

Question

1a. Which is true of the slope of the least-squares regression line?

A) It has the same sign as the correlation

B) The square of the slope equals the fraction of the variation in the response variable that is explained by the explanatory variable

C) It is unitless

The value of the slope is:

A) 0.01796

B) -0.0127

C) 0.8943

D) 0.0204

Predictor Constant -0.01270 0.01264-1.000.332 Beers Coef SE Coef y or y = 0.01796x-0.013 0.017964 0.002402 7.48 0.000 BAC 0.01796Beers-0.013 S 0.0204410 R-Sq= 80.0% R-Sq ( adj ) 78.6% = = SUMMARY OUTPUT ression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.394338148-r 0.799840723 0.785543632 0.020440951 16 Coefficients Standard Errort Stat P-value 0 123 4 5 678 ntercept 0.0 0.012637502 -1.004993204 0.331955132 Number of beers Number of Beers 0.01796376 0.002401703 7.479592058 2.96948E-06

Explanation / Answer

1a. Which is true of the slope of the least-squares regression line?

A) It has the same sign as the correlation

(as if correlarion positive then y inceases with x and hence slope is also positive and in other case if correlation is negative then y decreases if x increases making slope negative)

1. b The value of the slope is:

A) 0.01796

(In the regression equation y=mx+c, m represent the slope)

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