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Use the regression calculator to find the trend line and the equation representing it. A 2-column table with 6 rows. Column 1 is labeled Practice hours with entries 5, 4, 8, 6, 2, 3. Column 2 is labeled Golf Scores with entries negative 1, 0, negative 3, negative 2, 1, 0. What type of correlation is there between Eduardo’s practice hours and golf scores?

User Vkammerer
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The regression analysis yields a negative correlation. The trend line equation is Golf Scores=−0.4×Practice Hours−0.6.

The regression analysis of Eduardo's practice hours and golf scores reveals a negative correlation. The trend line equation,

Golf Scores=−0.4×Practice Hours−0.6, provides insights into the relationship between the two variables.

In this equation, the coefficient of −0.4 represents the slope of the line.

A negative slope indicates that as the practice hours increase, the golf scores tend to decrease.

In other words, there is an inverse relationship between the amount of time Eduardo spends practicing and his corresponding golf scores.

The y-intercept, represented by the term −0.6, suggests that when Eduardo's practice hours are zero, his expected golf score is -0.6.

However, in practical terms, a golf score cannot be negative, and this intercept may not have a meaningful interpretation in this context.

Evaluating the correlation coefficient associated with the regression analysis would provide a quantitative measure of the strength and direction of the correlation.

If the correlation coefficient is close to -1, it indicates a strong negative correlation.

The negative correlation implies that as Eduardo dedicates more hours to practice, his golf scores are expected to decrease, reflecting the potential impact of practice on performance.

User Noel Chew
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