Question Type 1: Calculating the Pearsons moment-correlation coefficient r for a bivariate data set Exercises

Compute the Pearson moment-correlation coefficient $r$ for the dataset: $(1,2), (2,4), (3,6), (4,8), (5,10)$.

Using the regression line $y=2x$ from the dataset $(1,2),(2,4),(3,6),(4,8),(5,10)$, predict $y$ when $x=6$ and comment on the reliability.

Find the least-squares regression line in the form $y=ax+b$ for the dataset: $(1,2), (2,4), (3,6), (4,8), (5,10)$.

Calculate the Pearson moment-correlation coefficient $r$ for the dataset: $(0,5), (1,6), (2,8), (3,9)$.

Using the regression line $y=1.4x+4.9$ from the dataset $(0,5),(1,6),(2,8),(3,9)$, predict $y$ at $x=5$ and comment on reliability.

Find the regression line $y=ax+b$ for the dataset: $(0,5), (1,6), (2,8), (3,9)$.

Compute the Pearson moment-correlation coefficient $r$ for the dataset: $(10,15), (20,14), (30,12), (40,10)$.

Calculate the Pearson moment-correlation coefficient $r$ for the dataset: $(1,2), (2,3), (3,5), (4,7), (5,11)$.

Determine the least-squares line $y=ax+b$ for the dataset: $(10,15), (20,14), (30,12), (40,10)$.

Determine the regression line $y=ax+b$ for the dataset: $(1,2), (2,3), (3,5), (4,7), (5,11)$.

Using the regression line $y=-0.17x+17$ for the dataset $(10,15),(20,14),(30,12),(40,10)$, predict $y$ when $x=50$ and comment on reliability.

Using the regression line $y=2.2x -1$ for the dataset $(1,2),(2,3),(3,5),(4,7),(5,11)$, predict $y$ at $x=6$ and comment on reliability.