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Chapter 12: Q. 38 (page 718)

Find the correlation coefficient.

a. \(r=\)___

Short Answer

Expert verified

\(r=0.45\)

Step by step solution

01

Step 1. Given information

Given,

02

Step 2. Calculation

\(r=\frac{N\sum xy-(\sum x)(\sum y)}{\sqrt{[N\sum x^{2}-(\sum x)^{2}][N\sum y^{2}-(\sum y)^{2}]}}\)

\(r=\frac{22\times 1598786198-(43813)(802027)}{\sqrt{[22(87254475)-43813^{2}][22(42471498895)-802027^{2}]}}\)

\(r=\frac{34087405}{75308824.97}\)

\(r=0.45\)

We have given the data of years and no. of flu cases diagnosedusing that data we calculated few statistics then putting all those statistics in the formula of correlation coefficient then we have got the value of \(r\).

The correlation coefficient of the given data is equal to \(0.45\).

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Most popular questions from this chapter

75. The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days:

Swim Time
Heart Rate
34.12
144
35.72
152
34.72
124
34.05
140
34.13
152
35.73
146
36.17
128
35.57
136
35.37
144
35.57
148

a. Enter the data into your calculator and make a scatter plot.
b. Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part a.
c. Explain in words what the slope and y-intercept of the regression line tell us.
d. How well does the regression line fit the data? Explain your response.
e. Which point has the largest residual? Explain what the residual means in context. Is this point an outlier? An influential point? Explain.

Graph “year” versus “# flu cases diagnosed” (plot the scatter plot). Do not include pre-1981 data.

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Find the equation that expresses the total fee in terms of the number of days the payment is late.

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