Give Up?Hint Check Question 1 of 12> Suppose Liam, an education researcher, want

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Give Up?Hint Check Question 1 of 12> Suppose Liam, an education researcher, wants to build a linear model that predicts the precalculus final course grades of high school juniors based on their math aptitude test scores. Liam randomly selects a sample of 20 high school seniors within his regional school district and gathers their math aptitude test scores and their junior year precalculas final course grades. To estimate the population regression linc, he develops a least-squares regression equation using the sample data, where is the math aptitude test score and y is the predicted value of the precalculus final course grade. y 0.752x + 38.376 Liam produces a residual plot with the math aptitude test scores on the horizontal axis and residuals on the vertical axis. He observes that the -normal probability plot of the residuals is

Explanation / Answer

1. The residual plot shows a random pattern. Therefore, there is linear relationshop between the response variable and explanatory variable of the population.

2. The normal probability plot shows the residuals are approximately linear. This indicates that the response is very normally about population regression line.

3. For any value of math aptitude test score, precalculus score is independent because residual plot shows random pattern.

4. The residual plot shows the variability of the residuals is relatively constant across all values of math aptitude score. That is, for each value of math aptitude score, the probability distribution of precalculus score has the same standard deviation,

• Is there linear relationshop between the response variable and explanatory variable of the population?       Yes

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