Question
Columns A and B of the Data Set contains n=120 students selected at random from a new freshmen class at a small college. The context
- Columns A and B of the Data Set contains n=120 students selected at random from a new freshmen class at a small college. The context of this study is to determine whether or not a student's grade point average at the end of the freshman year (Y is GPA) can be predicted from the ACT Score (X=ACTScore):
- Using Minitab, state the equation of this regression function.
- Interpret the slope (b1) in this problem.
- Interpret the intercept. Does the intercept provide any useful information? If so, what does it mean?
- Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. Columns D and E of the Week 1 Homework Data Set list the temperature (in degrees Fahrenheit) and the number of chirps per second for the striped ground cricket.This data set describes the relationship between Temperature in degrees Fahrenheit (independent variable) and number of cricket chirps per seconds (dependent variable)
- Create a scatter diagram using temperature as the independent variable and chirps per seconds as the dependent variable. Compute the correlation coefficient between temperature and "chirps".
- Change temperature to degrees Celsius [C = 5/9 (F -32)]. Recalculate the correlation coefficient between temp (degrees C) and "chirps".
- Create a linear regression model using temp C as the independent variable and chirps per seconds as the dependent variable. State the equation of the regression line.
- Interpret the slope.
- Examine the residual vs. fit plot and decide if this relationship is linear.
- What percent of the variation in chirps is explained by Temp C?
- Predict chirps for a 30 degrees C.
GPA | ACTScore | tempF | chirps | ||
3.897 | 21 | 88.6 | 20 | ||
3.885 | 14 | 93.3 | 19.8 | ||
3.778 | 28 | 80.6 | 17.1 | ||
2.54 | 22 | 69.7 | 14.7 | ||
3.028 | 21 | 69.4 | 15.4 | ||
3.865 | 31 | 79.6 | 15 | ||
2.962 | 32 | 80.6 | 16 | ||
3.961 | 27 | 76.3 | 14.4 | ||
0.5 | 29 | 71.6 | 16 | ||
3.178 | 26 | 84.3 | 18.4 | ||
3.31 | 24 | 75.2 | 15.5 | ||
3.538 | 30 | 82 | 17.1 | ||
3.083 | 24 | 83.3 | 16.2 | ||
3.013 | 24 | 82.6 | 17.2 | ||
3.245 | 33 | 83.5 | 17 | ||
2.963 | 27 | ||||
3.522 | 25 | ||||
3.013 | 31 | ||||
2.947 | 25 | ||||
2.118 | 20 | ||||
2.563 | 24 | ||||
3.357 | 21 | ||||
3.731 | 28 | ||||
3.925 | 27 | ||||
3.556 | 28 | ||||
3.101 | 26 | ||||
2.42 | 28 | ||||
2.579 | 22 | ||||
3.871 | 26 | ||||
3.06 | 21 | ||||
3.927 | 25 | ||||
2.375 | 16 | ||||
2.929 | 28 | ||||
3.375 | 26 | ||||
2.857 | 22 | ||||
3.072 | 24 | ||||
3.381 | 21 | ||||
3.29 | 30 | ||||
3.549 | 27 | ||||
3.646 | 26 | ||||
2.978 | 26 | ||||
2.654 | 30 | ||||
2.54 | 24 | ||||
2.25 | 26 | ||||
2.069 | 29 | ||||
2.617 | 24 | ||||
2.183 | 31 | ||||
2 | 15 | ||||
2.952 | 19 | ||||
3.806 | 18 | ||||
2.871 | 27 | ||||
3.352 | 16 | ||||
3.305 | 27 | ||||
2.952 | 26 | ||||
3.547 | 24 | ||||
3.691 | 30 | ||||
3.16 | 21 | ||||
2.194 | 20 | ||||
3.323 | 30 | ||||
3.936 | 29 | ||||
2.922 | 25 | ||||
2.716 | 23 | ||||
3.37 | 25 | ||||
3.606 | 23 | ||||
2.642 | 30 | ||||
2.452 | 21 | ||||
2.655 | 24 | ||||
3.714 | 32 | ||||
1.806 | 18 | ||||
3.516 | 23 | ||||
3.039 | 20 | ||||
2.966 | 23 | ||||
2.482 | 18 | ||||
2.7 | 18 | ||||
3.92 | 29 | ||||
2.834 | 20 | ||||
3.222 | 23 | ||||
3.084 | 26 | ||||
4 | 28 | ||||
3.511 | 34 | ||||
3.323 | 20 | ||||
3.072 | 20 | ||||
2.079 | 26 | ||||
3.875 | 32 | ||||
3.208 | 25 | ||||
2.92 | 27 | ||||
3.345 | 27 | ||||
3.956 | 29 | ||||
3.808 | 19 | ||||
2.506 | 21 | ||||
3.886 | 24 | ||||
2.183 | 27 | ||||
3.429 | 25 | ||||
3.024 | 18 | ||||
3.75 | 29 | ||||
3.833 | 24 | ||||
3.113 | 27 | ||||
2.875 | 21 | ||||
2.747 | 19 | ||||
2.311 | 18 | ||||
1.841 | 25 | ||||
1.583 | 18 | ||||
2.879 | 20 | ||||
3.591 | 32 | ||||
2.914 | 24 | ||||
3.716 | 35 | ||||
2.8 | 25 | ||||
3.621 | 28 | ||||
3.792 | 28 | ||||
2.867 | 25 | ||||
3.419 | 22 | ||||
3.6 | 30 | ||||
2.394 | 20 | ||||
2.286 | 20 | ||||
1.486 | 31 | ||||
3.885 | 20 | ||||
3.8 | 29 | ||||
3.914 | 28 | ||||
1.86 | 16 | ||||
2.948 | 28 |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started