Solution-Find the least squares regression line for given

Find the least squares regression line for given case

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Reference no: EM131688806

Question: The following table gives the completion times for the winners in the women's 200-meter dash finals in the Summer Olympic Games from 1972 to 2008. The times are in seconds rounded to the nearest 1/100 second.

a. Assign a value of 0 to 1972, 1 to 1976, 2 to 1980, and so on. Call this new variable Year. Make a new table with the variables Year and Time.

b. With year as an independent variable and time as the dependent variable, compute SSxx, SSyy, and SSxy.

c. Construct a scatter diagram for these data. Does the scatter diagram exhibit a linear negative relationship between year and time?

d. Find the least squares regression line

e. Give a brief interpretation of the values of a and b calculated in part d.

f. Compute the correlation coefficient r.

g. Predict the time for the year 2016. Comment on this prediction

Reference no: EM131688806

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Find the least squares regression line for given case

Reference no: EM131688806

Reference no: EM131688806

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