IB Mathematics Applications & Interpretation Question Type 1: Calculating the Pearsons Moment-correlation Coefficient r for a Bivariate Data Set Exercises

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

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

Calculate Pearson’s product-moment correlation coefficient, $r$, for the dataset: $$(10,15),(20,14),(30,12),(40,10)$$

Calculate Pearson’s product-moment correlation coefficient, $r$, for the following dataset:

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

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

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

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

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

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

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

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