ackboardcdn.com/61aab133e7df2/188593933?X-Blackboard-S3-Bucket=learn-us-east-1-prod-fleet01-xyt... \( 3 / 6 \) \( 100 \% \) 6. (10 Points) In the following table, \( \mathrm{x} \) is a random variable representing the number of trees per mile of road on randomly selected streets with a \( 25 \mathrm{mph} \) speed limit in a major city while \( y \) represents the average speed of cars in mph sampled over a one-hour period at the same time of day. \begin{tabular}{|l|l|l|l|l|l|} \hline\( x \) & 45 & 10 & 25 & 15 & 30 \\ \hline\( y \) & 20 & 50 & 40 & 45 & 25 \\ \hline \end{tabular} a. (8 Points) Draw a scatter diagram of the above data. Remember to label the axes appropriately and choose a consistent scale. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular} b. 12 Points) Based on the scatter diagram, would you estimate the correlation coefficient to 1 May 21
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- \( y \): Average speed of cars in mph sampled over a one-hour period at the same time of day. The data points are: - \( (x, y) \) pairs: (45, 20), (10, 50), (25, 40), (15, 45), (30, 25). Show more…
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Age Number of Driver Deaths per 100,000 16-19 38 20-24 36 25-34 24 35-54 20 55-74 18 75+ 28 a. For each age group, pick the midpoint of the interval for the x value. (For the 75+ group, use 80.) b. Using "ages" as the independent variable and "Number of driver deaths per 100,000" as the dependent variable, make a scatter plot of the data. (5 pts.) c. Calculate the least squares (best-fit) line. Put the equation in the form of: ŷ = a + bx d. Find the correlation coefficient. Is it significant? (5 pts.) e. Predict the number of deaths for ages 40 and 60. (5 pts.) f. Based on the given data, is there a linear relationship between age of a driver and driver fatality rate? (5 pts.) g. What is the slope of the least squares (best-fit) line? Interpret the slope. (5 pts.)
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