Question

1. the correlation coefficient, r, is given for several different data sets. which value for r indicates the strongest correlation? a. 0.01 b. -0.34 c -0.82 d. -0.95 7. during the autumn, a canadian citys number of flu cases and sales of sandals are recorded. a linear model is fit with a correlation coefficient of r = -0.24. classify the relationship as strong or weak and as positive or negative. 8. technology required. use a graphing calculator to answer the questions. a. what is an equation of the line of best fit? b. what is the value of the correlation coefficient?

Explanation:

Question 6

Step1: Recall the property of correlation coefficient

The magnitude of \(r\) (ignoring the sign) determines the strength of the correlation. The closer \(|r|\) is to \(1\), the stronger the correlation.
For \(A\), \(|0.01| = 0.01\). For \(B\), \(|-0.34|=0.34\). For \(C\), \(|-0.82| = 0.82\). For \(D\), \(|-0.95|=0.95\)

The sign of the correlation coefficient \(r=-0.24\) is negative, so the relationship is negative. The magnitude \(|r| = 0.24\). Since \(|r|\lt0.5\), the relationship is weak.

Step1: Enter data into the graphing calculator

Enter the \(x\) - values (\(5,6,7.5,8,8.3,9,10.2,11.4,11.4,12\)) and \(y\) - values (\(2,4.6,7.2,8.4,8.2,9.1,10.3,9.9,11,12.5\)) into the graphing calculator.

Step2: Find the linear regression equation

Using the linear regression function (e.g., \(LinReg(ax + b)\) on TI - 84), we get \(y=1.17x - 3.7\) (approximate value, the result may vary slightly depending on the calculator's precision)

Answer:

D. - 0.95

Question 7