Please reference attachment. See image below for stats help. All is needed on the attached page. Thank you

\f2. In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The equation was y - 10+0.9x where y is the final- exam score and ax is the score on the first test. Carla scored 95 on the first test. What is the predicted value of her score on the final exam? (a) 85.5 (b) 90 (c) 95 (d) 95.5 (e) none of these 3. In the course described in #2, Bill scored a 90 on the first test and a 93 on the final exam. What is the value of his residual? (a) -2.0 (b) 2.0 (c) 3.0 (d) 93 (c) none of these 4. The correlation between the heights of fathers and the heights of their (fully grown) sons is "=0.52. This value was based on both variables being measured in inches. If fathers' heights were measured in feet (one foot equals 12 inches). and sons' heights were measured in furlongs (one furlong equals 7920 inches). the correlation between heights of fathers and heights of sons would be () much smaller than 0.52 (b) slightly smaller than 0.52 (c) unchanged: equal to 0.52 (d) slightly larger than 0.52 (e) much larger than 0.52 5. All but one of the following statements contains an error. Which statement could be correct? (a) There is a correlation of 0.54 between the position a football player plays and his weight. (b) We found a correlation of = -0.63 between gender and political party preference. () The correlation between the distance travelled by a hiker and the time spent hiking is = 0.9 meters per second (d) We found a high correlation between the height and age of children: r = 1.12. (c) The correlation between mid-August soil moisture and the per-acre yield of tomatoes is r = 0.53. 6. A set of data describes the relationship between the size of annual salary raises and the performance ratings for employees of a certain company. The least squares regression equation is = 1400 + 2000r where y is the raise amount (in dollars) and x is the performance rating. Which of the following statements must be true? $1400. (a) For each one-point increase in performance rating. the raise will increase on average by (b) The actual relationship between salary raises and performance rating is linear. (c) The residuals for half the observations in the dataset will be positive. (d) The correlation between salary raise and performance rating is negative. (e) If the mean performance rating is 1.2, then the mean raise is $3800