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Chapter 12: Q.28 (page 717)
When testing the significance of the correlation coefficient, what is the null hypothesis?
The null hypothesis can be expressed as there is no significant correlation between the two variables in the population.
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The following table shows data on average per capita coffee consumption and heart disease rate in a random sample of \(10\) countries.
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.
Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where is the number of endorsements the player has and is the amount of money made (in millions of dollars).
Draw a scatter plot of the data
Amelia plays basketball for her high school. She wants to improve to play at the college level. She notices that the number of points she scores in a game goes up in response to the number of hours she practices her jump shot each week. She records the following data:
| (hours practicing jump shot) | (points scored in a game) |
| 5 | 15 |
| 7 | 22 |
| 9 | 28 |
| 10 | 31 |
| 11 | 33 |
| 12 | 36 |
Construct a scatter plot and state if what Amelia thinks appears to be true.
The average number of people in a family that attended college for various years is given in Table 12.29.
a. Using “year” as the independent variable and “Number of Family Members Attending College” as the dependent variable, draw a scatter plot of the data.
b. Calculate the least-squares line. Put the equation in the form of: \(\hat{y}=a+bx\)
c. Find the correlation coefficient. Is it significant?
Due to erosion, a river shoreline is losing several thousand pounds of soil each year. A linear equation that expresses the total amount of soil lost per year is
What are the independent and dependent variables?
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