Question 1 1 pts Scatterplot of RES|_3 vs read A research study on gifted children collected data on the number of hours on average each child was read to by their parents and the age in months when the child rst counted to 10 successfully. The graph above is the residual plot of the regression of age for counting to 10 vs. the number of hours a child is read to. Does the residual plot support the appropriateness of the linear model? 0 No, the points appear to be randomly scattered O No, because about half of the points are positive and the other half are negative. 0 Yes, because the points appear to be randomly scattered. 0 Yes, because there is a clear pattern displayed in the residual plot Question 2 1 pts Fitted Line Plot Scatterplot of RESI_3 vs STUDY sample GPA sample = 3.536 + 0.004779 STUDY sample 0.50 4.0 .307890 R-5q(adj) 0.25- 65 3.6 RESI GPA sample 3.4 0.2 3.2 0.50 30 -0.75 20 30 40 10 20 30 40 STUDY sample STUDY sample Data were collected on a random sample of 15 college students including their average daily study time (minutes) and overall GPA. The graph on the left is the scatterplot of average daily study time versus GPA with the respective least-squares regression line shown. The graph on the right is the associated residuals versus the predicted values. One point is circled on the right graph, which of the points labeled on the residual plot corresponds to the circled point on the scatter plot on the right? OA OC O BQuestion 3 1 pts Researchers wanting to understand the relationship between the volume (cubic feet) and diameter (inches) for black cherry trees collected data from 31 trees in the Allegheny National Forest, Pennsylvania. The output shown in the table is from a least-squares regression to predict volume given diameter. -36I94 -10-98 0.000 - m 5.066 0.247 20.48 0.000 Which of the following values represents the predicted change in volume of the tree for each one- inch increase in the diameter of the tree? 0 3.37 o 5.066 O -10.98 0 -36.94 Question 4 1 pts Researchers wanting to understand the relationship between the volume (cubic feet) and diameter (inches) for black cherry trees collected data from 31 trees in the Allegheny National Forest, Pennsylvania. The output shown in the table is from a least-squares regression to predict volume given diameter. -36-94 -10-98 0.000 - m 5.066 0.247 20.48 0.000 Suppose a particular cherry tree has a diameter of 10.1 inches and a volume of 14.1 cubic inches, determine the residual for this tree. 0 14.2266 0 -0.1266 0 0.1266 Question 5 1 pts Data were collected on a random sample of 25 college students including their average daily study time (minutes) and overall GPA. The value of the correlation coefcient between the study time and the GPA for the students in the sample was 0.81. Based on the least-squares regression line created from the data to predict the GPA of a student based on the daily study time, which of the following is a correct statement? 0 The least squares regression line will correctly predict the GPA 81% of the time. 0 The proportion of the variation in GPA that is explained by the regression on study time is 0.6561 0 The least-squares regression line of GPA versus study time will have a slope of 0.81 0 On average the GPA is 81% of the study time. Question 6 1 pts Data were collected on a random sample of 10 counties. The Life expectancy at birth (years) and the Birth rate (births per 1000 people) were recorded for each country in the sample. Based on the recorded data, the regression equation to predict life expectancy at birth based on the birth rate is : predicted life expectancy = 85.420.7548(birth rate) Which of the following is the best interpretation of the slope of the regression line? 0 For these countries, every additional birth will result in, on average, a life expectancy decrease of about 85.42 yea rs. O For these countries, every additional birth per 1000 people will result in, on average, a life expectancy increase of about 85.42 years. 0 For these countries, every additional birth will result in, on average, a life expectancy decrease of about 0.7548 years. 0 For these countries, every additional birth per 1000 people will result in, on average, a life expectancy decrease of about 0.7548 years. Question 7 1 pts A random set of monitoring locations were taken from NOAA data. The latitude of the monitoring station and the number of days above 70 for the year 2018 were recorded. The scatterplot below shows the least-squares regression model calculated to predict the number of days above 70 given the latitude of the monitoring station. Scatterplot of Days above 70 vs Latitude . '\"Oc Days above 10 30 35 no 45 so 55 so Latitude Some unusual points have been circled. Which of the following best describes point C? 0 High Leverage 0 High Leverage and Outlier O Inuential O Outlier