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noar ber or banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly mear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years sinc 1990 and y the number of banks, in thousands. n= 10 Ex Σx 235 Σ-5605 ΣΥ 77.564 ΣΥ2603.60324Σxy- 1810. 155 a. Find an equation for the least squares line. b. Use your result from part (a) to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient. a. The equation for the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) b. There will be about banks in the year 2020. (Round to the nearest whole number as needed.) c. The number of banks will drop below 6200 in the year

noar ber or banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly mear. The annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years sinc 1990 and y the number of banks, in thousands. n= 10 Ex Σx 235 Σ-5605 ΣΥ 77.564 ΣΥ2603.60324Σxy- 1810. 155 a. Find an equation for the least squares line. b. Use your result from part (a) to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient. a. The equation for the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) b. There will be about banks in the year 2020. (Round to the nearest whole number as needed.) c. The number of banks will drop below 6200 in the year

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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5. The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly DIL To he annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. >x= 235 Ex2 = 5605 Ey = 77.564 Ey² = 603.60324 Exy = 1810.155 n= 10 a. Find an equation for the least squares line. b. Use your result from part (a) to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient. a. The equation for the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) b. There will be about banks in the year 2020. (Round to the nearest whole number as needed.) c. The number of banks will drop below 6200 in the year boones d. The correlation coefficient is r= (Type an integer or decimal rounded to four decimal places as needed.) Select the correct interpretation of the correlation coefficient. O A. The correlation coefficient indicates a weak negative linear correlation. O B. The correlation coefficient indicates a strong positive linear correlation. O C. The correlation coefficient indicates a strong negative linear correlation. O D. The correlation coefficient indicates a weak positive linear correlation.
Transcribed Image Text:5. The number of banks in a country has been dropping steadily since 1984, and the trend in recent years has been roughly DIL To he annual data for the years 1999 through 2008 can be summarized as follows, where x represents the years since 1990 and y the number of banks, in thousands. >x= 235 Ex2 = 5605 Ey = 77.564 Ey² = 603.60324 Exy = 1810.155 n= 10 a. Find an equation for the least squares line. b. Use your result from part (a) to predict the number of banks in the year 2020. c. If this trend continues linearly, in what year will the number of banks drop below 6200? d. Find and interpret the correlation coefficient. a. The equation for the least squares line is Y = (Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.) b. There will be about banks in the year 2020. (Round to the nearest whole number as needed.) c. The number of banks will drop below 6200 in the year boones d. The correlation coefficient is r= (Type an integer or decimal rounded to four decimal places as needed.) Select the correct interpretation of the correlation coefficient. O A. The correlation coefficient indicates a weak negative linear correlation. O B. The correlation coefficient indicates a strong positive linear correlation. O C. The correlation coefficient indicates a strong negative linear correlation. O D. The correlation coefficient indicates a weak positive linear correlation.
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