Selling Price (S000s), y Square Footage, 2278 391.3 3128 366.9 1090 184 1916 328.8 3095 618.5 2794 373.2 4316 659.5 2200 375.2 435.9 2679 1668 291.8 1784 270.8 677.6 3729 a) Determine the linear correlation coefficient between square footage and asking price b) Is there a linear relation between square footage and asking price? c) Find the least-squares regression line treating square footage d) Interpret the slope. e) Is it reasonable to interpret the y-intercept? as the explanatory variable.

The table lists weights (pounds) and highway mileage amounts (mpg) for seven automobiles. Use the sample data to construct a scatterplot. Use the first variable for the x-axis. Based on the scatterplot, what do you conclude about a linear correlation? Weight (lb) Highway (mpg) Which scatterplot below shows the data? A. 40- 20- 2000 5000 2795 3225 3470 32 34 28 Weight (lb) B. 40- 20+ 2000 D 5000 Weight (lb) 4085 4155 2225 25 23 38 C. ● 20+ 2000 ● ● ● ● 5000 Weight (lb) Is there a linear relationship between weight and highway mileage? A. No, there appears to be no relationship. B. Yes, as the weight increases the highway mileage decreases. C. No, there appears to be a relationship, but it is not linear. D. Yes, as the weight increases the highway mileage increases. 40- 20- 2000 3440 29 5000 Weight (lb)

Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a percentage of claims. x 3 7 15 32 75 y 40 35 30 26 18 (a) Make a scatter diagram of the data and visualize the line you think best fits the data.  Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website.   (b) Would you say the correlation is low, moderate, or strong? positive or negative? strong and negative moderate and negative   strong and positive low and negative low and positive moderate and positive (c) Use a calculator to verify that Σx = 132, Σx2 = 6932, Σy = 149, Σy2 = 4725, and Σxy = 2997. Compute r. (Round your answer to three decimal places.)r =  As x increases, does the value of r imply that y should tend to increase or decrease? Explain. Given our value of r, we cannot draw any conclusions for the behavior of y as x increases. Given our value of r, y should tend to…

Using technology, what is the correlation coefficient? The weight (in pounds) and height (in inches) for a child were measured every few months over a two-year period. The results are given in the table. O -0.997 O -0.503 Weight (x) 8. 12 18 24 30 32 35 37 40 O 0.503 Height (y) 22 23 26 30 32 33 5 36 38 O 0.997

What is the value of the correlation coefficent, r? Is the strength of the linear relationship strong, moderately strong, somewhat weak or very weak?