Q34:
Determine the null and al ernative hypotheses. H0: p V H1: p V (Type integers or decima 5. Do not round.) The test statistic is t = . (Round to two decimal places as needed.) The Pvalue is . (Round to three decimal places as needed.) Because the Pvalue of the linear correlation coefcient is and scientic award winners. the signicance level, there sufficient evidence to support the claim that there is a linear correlation between Internet users Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Internet Users 80.2 78.6 56.2 68.7 77.6 38.0 Award Winners 5.6 9.2 3.3 1.6 10.5 0.1 Construct a scatterplot. Choose the correct graph below. O A. O B. O C. OD. 127 127 127 Award Winners Award Winners Award Winners Award Winners O-+ 30 90 30 90 30 90 30 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r=. (Round to three decimal places as needed.)When making predictions based on regression lines, which of the following is not listed as a consideration? Choose the correct answer below. 0 A. Use the regression equation for predictions only if the graph of the regression line on the scatterplot conrms that the regression line ts the points reasonably well. 0 3. Use the regression equation for predictions only if the linear correlation coefcient r indicates that there is a linear correlation between the two variables. 0 C. If the regression equation does not appear to be useful for making predictions, the best predicted value of a variable is its point estimate. 0 D. Use the regression line for predictions only if the data go far beyond the scope of the available sample data. Which of the following is NOT a requirement in determining whether there is a linear correlation between two variables? Choose the oorreot answer below. 0 A. Any outliers must be removed if they are known to be errors. 0 B. If r > 1, then there is a positive linear oorrelation. O C. The sample of paired data is a simple random sample of quantitative data. C) D. A soatterplot should visually show a straight-line pattern. Which of the following is NOT a property of the linear oorrelation coefcient r? Choose the correct answer below. 0 A. The value of r is always between 'l and 1 inclusive. 0 B. The value of r is not affected by the choice of x or y. 0 C. The linear correlation coefcient r is robust. That is, a single outlier will not affect the value of r. O D. The value of r measures the strength of a linear relationship. The data show the bug chirps per minute at different temperatures. Find the regression equation. letting the rst variable be the independent (x) variable. Find the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute. Use a signicance level of 0.05. What is wrong with this predicted value? Chirps in 1 min | 1080 7'65 1131 787' 1244 888 a Temperature (F) | 86.6 68 83.4 73.9 96.6 75.8 What is the regression equation? Y = + X (Round the x-coefcient to four decimal places as needed. Round the constant to two decimal places as needed.) What is the best predicted temperature for a time when a bug is chirping at the rate of 3000 chirps per minute? The best predicted temperature when a bug is chirping at 3000 chirps per minute is F. (Round to one decimal place as needed.) What is wrong with this predicted value? Choose the correct answer below. 0 A. It is unrealistically high. The value 3000 is far outside of the range of observed values. 0 B. It is only an approximation. An unrounded value would be considered accurate. 0 C. The rst variable should have been the dependent variable. 0 D. Nothing is wrong with this value. It can be treated as an accurate prediction
