Author:
Christine Farr

Describe the relationship between two variables that have a correlation coefficientvalue:a. Near -1b. Near 0c. Near 12. Data was collected where a weightlifter was asked to do as many repetitions aspossible using different amounts of weight. Below is a table that shows how muchweight was on the bar, and how many repetitions the weightlifter could do:WeightReps2004230027400125003a. Calculate the correlation for this data. What does this value tell you about therelationship between these two variables?b. Determine the least squares regression line for this data. Interpret the valuesfor the y-intercept and the slope within this scenario.c. Calculate r2 for this data and describe what it represents.d. Using the regression line from part (b), calculate the predicted number ofrepetitions for this weight lifter if the weight is 400 pounds, and then calculateand interpret the residual for that weight using the data.3. Given the linear regression equation:y = 1.6 + 3.5x1 – 7.9x2 + 2.0x3a. Which variable is the response variable? How many explanatory variables arethere?

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