4. For the following scores, X NO 2 1 1 Clation, Y 4969 9 9 a. Sketch a scatter plot and estimate the Pearson cor- relation. b. Compute the Pearson correlation.

2. Consider the following examples; would you expect the correlation coefficient to be close to 1, -1, or 0 (10 points):   The amount of time a dog is walked, and the number of hours the dog sleeps at night     Outdoor temperature and snowfall.         The length of time someone wears braces and their SAT scores.         3. The following graph represents the amount of time that someone studies for their final exam, and their final examination grade (HINT) (20 points).       Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Hours Studied 4 7 11 8 10 8 Final Exam Grade 55% 72% 88% 93% 91% 84%     Graph the following students as ordered pairs. Let the x-axis represent the hours studied, and the y-axis represent the students’ final exam grade.                         Circle the value that best represents the estimate of r: (circle one)   -0.99, -0.62, -0.30, 0, 0.30, 0.75, 0.85, 0.99

While performing searches on the Internet to find accommodation, Jasmine realized that the cost of a housing unit seems to be related to the number of inhabitants of the municipality where the unit is located. She noted the following data. She represented the data in a scatter plot, where she drew a line of best fit passing through the mean point of the distribution. If Jasmine considers that a linear correlation exists between these two variables, what should be the mean monthly rent of a 4½-room unit in a municipality with a population of approximately 250 000? Justify your answer algebraically.

Suppose the correlation coefficient r=0.16 Find:a. The coefficient of determination r2=  (round to 3 decimal places)b. The percentage of explained variation = % (round to 1 decimal place)c. The percentage of unexplained variation = % (round to 1 decimal place)