Prediction

In question #1, you are predicting $Y'$ (Y prime) from $X$. In this case:

• $X$ is the predictor variable (independent variable).
• $Y'$ (Y prime) is the predicted variable (dependent variable).

For the horizontal axis of your graph, you would place the predictor variable, which is X.

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Now, for the second part of the question, you are asked to identify the first predicted point on the regression line for $Y'$ from $X$. The first predicted point on a regression line is typically at the minimum value of the independent variable (X).

Looking at the data for $X$, its given value is 45. So, the GIVEN value for the left-most point is 45, corresponding to the first $X$ value.

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Would you like more details or have any questions?

Related Questions:

1. What is the interpretation of the negative correlation coefficient ($r = -0.68$) in this context?
2. How would you calculate the predicted value of $Y'$ for a specific $X$?
3. What is the equation of the regression line for predicting $Y'$ from $X$?
4. How does the spread (standard deviation) of $X$ affect the prediction?
5. What would the slope of the regression line represent in this scenario?

Tip: When graphing regression lines, the independent variable (predictor) should always be placed on the horizontal axis to reflect the causal or predictive relationship.