91Ó°ÊÓ

Explain the difference between univariate and bivariate data and give an example of each.

If you keep a record of the temperature in degrees Fahrenheit and in degrees Celsius for a month, what would you expect the correlation coefficient to be? Justify your answer.

Explain when the power function, \(y=a x^{b},\) has only positive or only negative \(y\) -values and when it has both positive and negative \(y\) -values.

In \(3-6,\) find the range and the interquartile range for each set of data. $$ 12,12,14,14,16,18,20,22,28,34 $$

In \(3-6,\) find the range and the interquartile range for each set of data. $$ 12,17,23,31,46,54,67,76,81,93 $$

Organize the data in a frequency distribution table. The numbers of books read during the summer months by each of 25 students: \(\begin{array}{lllllllllllll}{2} & {2} & {5} & {1} & {3} & {0} & {7} & {2} & {4} & {3} & {3} & {1} & {8} \\ {5} & {7} & {3} & {4} & {1} & {0} & {6} & {3} & {4} & {1} & {1} & {2}\end{array}\)

In \(11-17 :\) a. Draw a scatter plot. b. Does the data set show strong positive linear correlation, moderate positive linear correlation, no linear correlation, moderate negative linear correlation, or strong negative linear correlation? c. If there is strong or moderate correlation, write the equation of the regression line that approximates the data. The following table shows the number of gallons of gasoline needed to fill the tank of a car and the number of miles driven since the previous time the tank was filled. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline \text { Gallons } & {8.5} & {7.6} & {9.4} & {8.3} & {10.5} & {8.7} & {9.6} & {4.3} & {6.1} & {7.8} \\ \hline \text { Miles } & {255} & {230} & {295} & {250} & {315} & {260} & {290} & {130} & {180} & {235} \\ \hline\end{array} $$

The given values represent data for a sample. Find the variance and the standard deviation based on this sample. \(\begin{array}{|c|c|}\hline x_{i} & {f_{i}} \\ \hline 55 & {11} \\ {50} & {15} \\ {45} & {4} \\ {40} & {1} \\ {35} & {1} \\ {35} & {12} \\ {30} & {4} \\ \hline\end{array}\)

Mrs. Vroman bought \(\$ 1,000\) worth of shares in the Acme Growth Company. The table below shows the value of the investment over 10 years. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|}\hline \text { Year } & {1} & {2} & {3} & {4} & {5} & {6} & {7} & {8} & {9} & {10} \\ \hline \text { Value }(\$) & {1,045} & {1,092} & {1,141} & {1,192} & {1,302} & {1,361} & {1,422} & {1,486} & {1,553} \\ \hline\end{array} $$ a. Find the exponential regression equation for the data with the coefficient and base rounded to three decimal places. b. Predict, to the nearest dollar, the value of the Vromans' investment after 11 years.