The set of points (–3, 7), (0, –3) and (6, 1) are plotted in the coordinate plane. Which of the following statements is true abo
ut the graph of these points? A. They do not represent a linear function. B. The slopes of the lines between each pair of points are equal. C. The first coordinate of each ordered pair is always less than the second coordinate. D. The coordinates of the ordered pairs satisfy the equation .
2 answers:
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Answer: a. The correlation coefficient of the data is positive.
Step-by-step explanation:
Estimated slope of sample regression line =
Here , confidence interval : (-0.181, 1.529)
Estimated slope of sample regression line =
⇒Correlation coefficient(r) must be positive, So a. is true.
But, d. and e. are wrong(0.674 ≠ 0 or 1.348).
We cannot check residuals or its sum from confidence interval of slope of a regression line, so b is wrong.
We cannot say that scatterplot is linear as we cannot determine it from interval, so c. is wrong
So, the correct option : a. The correlation coefficient of the data is positive.