Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week x Grade y
x y
4 | 40.6 |
6 | 62.4 |
7 | 68.8 |
8 | 70.2 |
10 | 76 |
11 | 82.4 |
13 | 77.2 |
14 | 79.6 |
15 | 96 |
19 | 100 |
State the regression equation y = m ⋅ x + b , with constants accurate to two decimal places. _________________
What is the predicted value for the final grade when a student spends an average of 9 hours each week on math?
Grade = __________Round to 1 decimal place.
We can use here Excel for regression equation
Step 1) Enter data in Excel .
Step 2) Data >>Data analysis >>Regression >>Select y and x values separately >>Ok
y=3.36x+39.38 |
Substitute x=9
=> y=3.36(9)+39.38
=69.6
Grade = 69.6 |
Run a regression analysis on the following data set, where y is the final grade in...
Х Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade у 4 41.6 4 54.6 8 68.2 8 73.2 8 66.2 11 63.4 11 70.4 11 80.4 13 71.2 16 85.4 State the regression equation y = mx + b, with constants accurate to two decimal places. What is the predicted value...
Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade х у 4 41.6 4 54.6 8 68.2 8 73.2 8 66.2 11 63.4 11 70.4 11 80.4 13 71.2 16 85.4 State the regression equation y = mx + b, with constants accurate to two decimal places. What is the predicted value...
Question 9 < > 0/2 pts 399 Details 4 Run a regression analysis on the following data set, where y is the final grade in a math class and x is the average number of hours the student spent working on math each week. hours/week Grade х у 52.6 4 41.6 4 41.6 60 64.6 11 82.4 14 90.6 14 78.6 18 90.2 18 93.2 no State the regression equation y=mx+b, with constants accurate to two decimal places. What is...
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Consider the following regression where gr, is the grade (between 0 and 100) on the final exam for student i and hi is the number of hours studied for the exam in the final week. a) Can you think of another variable that you would like to include in the regression to explain the final grade? b) What is the interpretation of Bo? c) Would you be surprised if you estimated a regression and found that Bi was negative? Explain...
Run a regression analysis on the following bivariate set of data with y as the response variable. data: x, y 27.9, 61.5 35.9, 40.6 53.6, -25.3 15.5, 68.5 32.7 14.4 12.4, 89.4 37.7, 17.3 30.3, 48.6 46.7, -6.3 14.4, 55.5 16.9, 55.3 24.8, 62.1 Find the correlation coefficient and report it accurate to three decimal places. r = What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a...
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Run a regression analysis on the following bivariate set of data with y as the response variable. х у 54.7 26.5 55.1 25.9 49.6 21.9 55 24.1 55.4 23 46.9 22 50.4 21.4 54.7 22.9 49.8 24 49 20.9 57.8 23.9 56.1 25.9 Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a...
You run a regression analysis on a bivariate set of data ( n =
41 ). With ¯ x = 41.6 and ¯ y = 31.1 , you obtain the regression
equation y = − 2.748 x + 61.522 with a correlation coefficient of r
= − 0.011 . You want to predict what value (on average) for the
response variable will be obtained from a value of 10 as the
explanatory variable. What is the predicted response value?
You...
The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x 0 1 2 3 4 5 6 7 8 9 Final grade, y 87.6 84.7 81.8 79.4 76.4 72.0 62.6 670 64.1 61.2 (a) Find the least squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y,...