1. 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?
2. 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