A professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter are given below. Student No. Hours Spent Studying Total Points Earned1 25 182 10 133 70 534 40 435 85 686 45 287 70 688 60 589 35 2310 55 43Simple Regression - POINTS vs. HOURSDependent variable: POINTSIndependent variable: HOURSLinear model: Y=a +b*XCoefficientsLeast Squares Standard TParameter Estimate Error Statistics P-ValueIntercept 0.437798 5.9182 0.073948 o.9428Slope 0.829539 0.109474 7.57748 0.0001Analysis of VarianceSource Sum of Squares Df Mean Square F-Ratio P-ValueModel 3249.72 1 3249.72 57.42 0.0001Residual 452.779 8 56.5974 Total (Corr.) 3702.5 9The following questions are based on the information above.1) Write down the estimated regression equation that could be used to estimate the total points earned in the course given the hours spent studying.2) At the 0.05 level of significance, does hours spent studying have a significant effect on the total points earned in this course?3) Find the standard error of the estimate.4) Use the estimated regression to predict the points of a student who spent 50 hours studying for this course.5) If a student spent 120 hours studying for this course, would you feel comfortable to use your estimated regression equation to predict his points? Why?6) What's the R-squared?7) Do you believe your estimated regression equation would provide a good prediction of the points? Use R-squared from Question 8 to support your answer.