Find the equation of the regression line for the data. the number of hours 9 students spent studying for a test and their scores on that test Hours Spent Studying, x | 0 | 2 | 4 | 5 | 5 | 5 | 6 | 7 | 8 Test Scores, y | 40 | 51 | 64 | 69 | 73 | 75 | 93 | 90 | 95 ? x = ? y = ? x² = ? y² = ? xy = n = Round to three decimal places. ? = 7.451 x + 37.449 Then use the regression equation to predict the value of y for the x-value. x = 3 hours ? = 59.804 hours
Added by James J.
Close
Step 1
The formulas for these are: b = (n*Exy - Ex*Ey) / (n*Ex^2 - (Ex)^2) a = (Ey - b*Ex) / n Show more…
Show all steps
Your feedback will help us improve your experience
David Nguyen and 52 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A random sample of 9 students produced the following data, where x is the hours spent per month playing video games, and y is the first-semester grade (out of a maximum of 80 points). The data is presented below in the table of values. x y 16 78 17 72 19 53 21 64 23 64 24 55 25 53 27 38 29 44 What is the equation of the regression line? Select the correct answer below: ŷ = -2.492x + 22.3 ŷ = 12.859x + 22.3 ŷ = 12.859x + 113.5 ŷ = -2.492x + 113.5
T. L.
The table below gives the number of hours five randomly selected students spent studying and their corresponding grades. Using this data, consider the equation of the regression line, Å· = b0 + b1x, for predicting the grade that a student will earn based on the number of hours spent studying. 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 Studying 0 1 2 3 4 Grades 73 79 87 88 97 Step 4 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable Å·.
Madhur L.
In $9-13 :$ a. Create a scatter plot for the data. b. Determine which regression model is the most appropriate for the data. Justify your answer. c. Find the regression equation. Round the coefficient of the regression equation to three decimal places. $$ \begin{array}{|c|c|c|c|c|c|c|c|c|c|c|}\hline x & {4} & {7} & {3} & {8} & {6} & {5} & {6} & {3} & {9} & {4.5} \\ \hline y & {10} & {7} & {15} & {9} & {5} & {6} & {6} & {14} & {14} & {8} \\ \hline\end{array} $$
STATISTICS
Non-Linear Regression
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD