A math instructor wants to see how the number of hours spent studying by a student in his class affects the student’s exam score. The data obtained from a sample are shown below. Number of Hours(x) 6 2 1 5 2 3 Exam Score[y] 82 63 57 88 68 75 Test the significance of the correlation coefficient at α=0.05 Step 1. H0: Answer Step 2. d.f.=Answer Critical value at α=0.05 is Answer Step 3. Correlation Coefficient (r)=Answer Round answer to three decimal places Step 4. Decision: Answer Step 5. Is there a significant correlation between number of hours and exam score? Answer b. Find the equation of the regression line. Type your answer in this form y'=1.234 4.563x, a and b should be rounded to three decimal places Answer c. Using this regression line, find a student’s predicted Exam Score if this student spent 4 hours studying. Round your answer to the nearest whole number. Answer