Compute the linear correlation coefficient between the two variables and determine whether a linear relation exists. Round to three decimal places. A manager wishes to determine whether there is a relationship between the number of years her sales representatives have been with the company and their average r The table shows the years of service for each of her sales representatives and their average monthly sales (in thousands of dollars). Years with company, x 6 7 14 11 12 19 7 5 15 Sales, y 26 28 73 57 60 56 43 50 115 Click the icon to view the critical values table. O A. r=0.632; a linear relation exists O B. r=0.717; no linear relation exists O C. r=0.632; no linear relation exists O D. r=0.717; a linear relation exists

Desmos | Graphing Calc Year Time (seconds) 1912 82.2 1924 72.4 1932 66.8 1952 66.8 1960 61.2 1968 60.0 1976 55.65 1984 55.92 1992 54.64 2000 53.8 2008 53.1 a. Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the data. C. Does it appear from inspection that there is a relationship between the variables? Why or why not? d. Find the equation in the form of: y= a + bx. e. Find the correlation coefficient. f. Find the estimated gold medal time for 1932. Find the estimated time for 1984. g. Why are the answers from part f different from the chart values? h. Does it appear that a line is the best way to fit the data? Why or why not? i. Use the least-squares line to estimate the gold medal time for the next Summer Olympics (Assuming they would be in 2020). Do you think that your answer is reasonable? Why or why not? Note that the fastest speed time in recorded history as of 2020 was 51.22 seconds for the 100 meter…

The chart shows the relationship between the amount of time, in days, and the percent of pollution in a pond. Day Percent Pollution 1 2 0 0 0 0 ASAWN 17 39.4 22.5 20 3 4 5 6 7 Based on the line of best fit, what should the percent of pollution in the pond be on day 14? 58 56 55 51 47 45 42

The table gives information about the number of people staying in a hotel each quarter in 2020 and in 2021.Calculate the 4-point moving averages for this information. year 2020       2021       quarter 1 2 3 4 1 2 3 4 people 261 353 372 290 193 309 292 202

Credit Score An economist wants to determine the relation between one’s FICO score, x, and the interest rate of a 36-month auto loan, y.  The given data represent the interest rate ( in percent) a bank would offer on a 36-month auto loan for various FICOscores.     Credit Score, x Interest Rate(percent),y 545 18.982 595 17.967 640 12.218 675 8.612 705 6.680 750 5.150   a. Find the least-squares regression line (Equation)treating the FICO score, x, as the explanatory variable and the interest rate , y, as the response variable.       b. Determine the linear correlation coefficientbetween compensation and stock return.       c. What type of  linear relation exist between the two variable?       d. Compute the coefficient of determination.       e. Interpret the coefficient of determination.       f. Draw a Scatter diagram of the data.

Option C is incorrect

The scatter plot shows the relationship between the number of minutes studying for a test (x) and the Score earned (y). Make a scatterplot for the data. Time Studying (x) 40 50 60 70 80 90 100 110 Score (y) 2 3 6 7 9. +H+ 10 6. -7- 4 3 1- 10, 10 20 30 40 50 60 70 80 90 100 110 12 7:04 PM Desktop 12/8/2026

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A researcher explored the relationship between the percent of snow days during the month of January and the percent of students that receive an A on class finals at the same schools. The researcher collects information from 6 schools, shown in the table below. Use the graph below to plot the points and develop a linear relationship between the percent of January snow days and the percent of 'A' final exams. School Number % of Snow Days % of A Finals 1 5 25 2 7 45 3 10 50 4 12 65 5 20 70 6 25 86   Using the linear relationship graphed above, estimate the percent of 'A' finals if there are 2% snow days. Provide your answer below: