The table below gives the number of hours spent unsupervised each day as well as

Question

The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line = bo + bix, for predicting the overall grade average for a middie school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 0.5 2.5 3 3.5 4.5 5 5.5 Overall Grades 97 95 92 91 83 78 72 Table Copy Data step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Answer(How to Enter) 4 Points Keypad

Explanation / Answer

Ans:

Regression Equation(y) = b0 + b1x

Slope(b1) = (NXY - (X)(Y)) / (NX2 - (X)2)

Intercept(b0) = (Y - b1(X)) / N

b1=(7*2040-24.5*608)/(7*103.25-24.5^2)=-5.0286

b0=(608-(-5.0286)*24.5)/7=104.4572

Regression equation:

y'=104.4572-5.0286x

Hours(x) Grades(y) xy x^2 y^2 1 0.5 97 48.5 0.25 9409 2 2.5 95 237.5 6.25 9025 3 3 92 276 9 8464 4 3.5 91 318.5 12.25 8281 5 4.5 83 373.5 20.25 6889 6 5 78 390 25 6084 7 5.5 72 396 30.25 5184 Total 24.5 608 2040 103.25 53336 slope,b1= -5.0286 y-intercept,b0= 104.4572

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.