Based on the regression line, is there a positive or a negative relationship bet

Question

Based on the regression line, is there a positive or a negative relationship between X and Y?

options:

There is a positive relationship

There is a negative relationship

There is no relationship between X and Y

We do not have enough information to answer this question.

There is a positive relationship

There is a negative relationship

There is no relationship between X and Y

We do not have enough information to answer this question.

Using the information in the table you estimate the regression line: YIntercept +Slope X. You obtain the following output: Multiple R. eR 0.754525991 R Square 0.569309472 Adjusted R Square 0.507782253 Standard Error 1.977472261 Observations Df MS Significance F 1 36.18277975 36.18277975 9.2529694510.018797321 727.3727758 3.910396543 8 63.55555556 Regression Residual Total Coefficients Standard Error Stat P-value Lower 95% Upper 95% Intercept 4.82295373 2.20457789 2.187699404 0.064898813-0.390044606 10.03595208 0.0538256230.017694916 3.041869401 0.0187973210.011983796 0.09566745

Explanation / Answer

As we can see, the coefficient of X is 0.0538256, which is positive. Also, the P value is small (0.018797), which means it is significant.

Hence,

OPTION A: There is a positive relationship [ANSWER, A]

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