A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n15 college students. The SAT scores have a mean of M = 580 with SS 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84.
Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.)
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A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n15 college students
A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n...
A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M-580 with SS - 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84. Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.) What percentage of the variance in GPAs is accounted for by the regression equation? (Compute...
Problem #6: The grade point averages (GPAs) of a large population of college students are approximately...
Problem #6: The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.5 and standard deviation 0.80. (a) What proportion of the students will possess a GPA greater than 3.0? (b) Suppose that 10 students are randomly selected from the student body. What is the probability that atmost 4 among 10 will possess a GPA greater than 3.0? (c) What would be the maximum GPA so that only 10% of the students...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the...
The grade point averages (GPA) of 18 randomly selected college students are used to estimate the mean GPA of the college students. The GPAs from the sample are as follows: 2.3 3.3 2.6 1.8 0.2 3.1 4.0 0.7 3.1 2.3 2.0 3.1 3.4 1.3 2.6 2.6 3.7 2.2 (5 points) Is it justified to use of the standard normal distribution to construct the confidence interval? Explain. (10 points) If the population is assumed to be normally distributed, construct a 98% confidence interval for the population mean GPA. Show your work in detail and use 3...
The following table contains ACT scores and the GPA (grade point average) for eight college students.
4. The following table contains ACT scores and the GPA (grade point average) for eight college students. Grade point average is based on a four-point scale and has been rounded to one digit after the decimal: a. Estimate the relationship between GPA and ACT using OLS; that is, obtain the intercept and slope estimates in the equation Comment on the direction of the relationship. Does the intercept have a useful interpretation here? Explain. How much higher is the GPA predicted to be...
(1 point) At a certain university, the Math SAT score and first-year GPA for the students...
(1 point) At a certain university, the Math SAT score and first-year GPA for the students that just completed their freshman year have the following summary statistics (if you cannot see the table, go to User Settings and Change Display Options to images): Average Math SAT score ะ 540 SD 100 A GPA 2.8 SD 0.6 verage first-vear r 0.58 The scatterplot of first-year GPAs on Math SAT scores is an oval-shaped cloud of points. Please give your answers correct...
6. Interpreting statistical software output in regression Aa Aa Suppose you work in the admission...
6. Interpreting statistical software output in regression Aa Aa Suppose you work in the admissions department of a small liberal arts college. You wonder if you can predict students' college grade point averages (GPAs) by their SAT scores. You randomly select 50 recent graduates and collect their SAT scores and college GPAs. You use a statistical software package to run a regression predicting college GPA from SAT score. Use the following output to answer the questions that follovw Descriptive Statistics...
The grade point averages (GPA) for 12 randomly selected college students are shown on the right....
The grade point averages (GPA) for 12 randomly selected college
students are shown on the right. Complete parts (a) through (c)
below. Assume the population is normally distributed.
2.1, 3.1, 2.6, 1.5, 0.6, 4.0, 2.1, 1.1, 3.6, 0.5, 2.1, 3.4
construct a 90% confidence interval for the population mean
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 2.1 below. 1.5 Assume the population is normally distributed. 2.1...
Grade point average. The director of admissions of a small college seleeted 120 students at random...
Grade point average. The director of admissions of a small college seleeted 120 students at random from the new freshman class in a study to determine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X) The results of the study follow. Assume that first-order regression model (1.1) is appropriate. 2 118 119 120 i: Xi: 21 Yi: 14 28 28 16 28 3.897 3.885 3.778.....
5. L. Wallace, the president of a major public university, believes students’ grade-point-averages [GPAs] decline when...
5. L. Wallace, the president of a major public university, believes students’ grade-point-averages [GPAs] decline when students transition from high school to college, on average. To test President Wallace’s belief, you selected a random sample of 41 students enrolled in BMGT 230 this semester and conducted a test to compare each student’s high school GPA [HS_GPA] to their current college GPA [COLL_GPA]. Use the MS Excel output below to answer/complete Parts a through d: t-Test: Paired Two Sample for Means...
The following table contains the ACT scores and the GPA for eight college students. Grade point...
The following table contains the ACT scores and the GPA for eight college students. Grade point average is based on a four-point scale and has been rounded to one digit after the decimal. Student GPA ACT 1 2.& 21 2 3.4 24 3 3.0 26 4 3.5 27 5 3.6 29 6 3.0 25 7 2.7 25 8 3.7 30 a) Estimate the relationship between GPA and ACT using OLS: that is, obtain the intercept and slope estimates in the...
A professor obtains SAT scores and freshman grade point averages (GPAs) for a group of n = 15 college students. The SAT scores have a mean of M-580 with SS - 22,400, and the GPAs have a mean of 3.10 with SS = 1.26, and SP = 84. Find the regression equation for predicting GPA from SAT scores. (Use five decimal places for the slope.) What percentage of the variance in GPAs is accounted for by the regression equation? (Compute...
Problem #6: The grade point averages (GPAs) of a large population of college students are approximately normally distributed with mean 2.5 and standard deviation 0.80. (a) What proportion of the students will possess a GPA greater than 3.0? (b) Suppose that 10 students are randomly selected from the student body. What is the probability that atmost 4 among 10 will possess a GPA greater than 3.0? (c) What would be the maximum GPA so that only 10% of the students...
4. The following table contains ACT scores and the GPA (grade point average) for eight college students. Grade point average is based on a four-point scale and has been rounded to one digit after the decimal: a. Estimate the relationship between GPA and ACT using OLS; that is, obtain the intercept and slope estimates in the equation Comment on the direction of the relationship. Does the intercept have a useful interpretation here? Explain. How much higher is the GPA predicted to be...
(1 point) At a certain university, the Math SAT score and first-year GPA for the students that just completed their freshman year have the following summary statistics (if you cannot see the table, go to User Settings and Change Display Options to images): Average Math SAT score ะ 540 SD 100 A GPA 2.8 SD 0.6 verage first-vear r 0.58 The scatterplot of first-year GPAs on Math SAT scores is an oval-shaped cloud of points. Please give your answers correct...
6. Interpreting statistical software output in regression Aa Aa Suppose you work in the admissions department of a small liberal arts college. You wonder if you can predict students' college grade point averages (GPAs) by their SAT scores. You randomly select 50 recent graduates and collect their SAT scores and college GPAs. You use a statistical software package to run a regression predicting college GPA from SAT score. Use the following output to answer the questions that follovw Descriptive Statistics...
The grade point averages (GPA) for 12 randomly selected college
students are shown on the right. Complete parts (a) through (c)
below. Assume the population is normally distributed.
2.1, 3.1, 2.6, 1.5, 0.6, 4.0, 2.1, 1.1, 3.6, 0.5, 2.1, 3.4
construct a 90% confidence interval for the population mean
The grade point averages (GPA) for 12 randomly selected college students are shown on the right. Complete parts (a) through (c) 2.1 below. 1.5 Assume the population is normally distributed. 2.1...
Grade point average. The director of admissions of a small college seleeted 120 students at random from the new freshman class in a study to determine whether a student's grade point average (GPA) at the end of the freshman year (Y) can be predicted from the ACT test score (X) The results of the study follow. Assume that first-order regression model (1.1) is appropriate. 2 118 119 120 i: Xi: 21 Yi: 14 28 28 16 28 3.897 3.885 3.778.....
The following table contains the ACT scores and the GPA for eight college students. Grade point average is based on a four-point scale and has been rounded to one digit after the decimal. Student GPA ACT 1 2.& 21 2 3.4 24 3 3.0 26 4 3.5 27 5 3.6 29 6 3.0 25 7 2.7 25 8 3.7 30 a) Estimate the relationship between GPA and ACT using OLS: that is, obtain the intercept and slope estimates in the...
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