An instructor wants to see if there is a relationship betwee

An instructor wants to see if there is a relationship between the number of absences a student has and his or her final course grade. A random sample of six students is selected. The number of absences and the final course grade for each student are given in the following table. a. Using the calculator\'s capabilities, find the equation for the least squares regression line (y^= ax + b) that best fits this data. Ans 3a y^= ____ b. Use the least squares regression line to approximate the final course grade for a student who misses 6 days. Ans 3b _______ c. Give the value of the correlation coefficient r and explain its meaning in the context of this problem. r = _______ Explanation: d. Give the value of the coefficient of determination r2 and explain its meaning in the context of this problem. r^2 = _____ Explanation:

Solution

I get...

y = -4.17857x + 96.82143 ---> ANSWER

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b) 6 days missed

So, y = -4.17857(6) + 96.82143

y = 71.75001

So, approx course grade is 72

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c)

r = -0.920390023

In this case, it\'s almost a perfect negative correlation

As in, more the absences, the lower the grade

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d)

r^2 = 0.8471178

This is the value of the sum of the residual errors
where each residual error is the difference between the actual value given in the table and the value obtained by using the regression line