Question

An instructor for a class collected data from one of her class to investigate the relationship...

An instructor for a class collected data from one of her class to investigate the relationship between X: study time (per week) and Y: college GPA. She has fitted the simple linear regression model as:

G P A = 2.652 + 0.04391 × S t u d y t i m e

What can you say about the slope β1?

a.) One unit change in study time will increase the GPA by 0.04391 unit.

b.) One unit change in study time will decrease the GPA by 0.04391 unit.

c.) If study time is 0, then the GPA owned will be 2.652.

d.) Cannot be determined.

An engineering student has designed a new cloths dryer. X: temperature setting in ∘F, Y: actual interior temperature during cycle ∘F. She has collected the following n=5 samples:

X Y
140 170
145 174
150 172
155 178
160 176

Find the correlation coefficient, r.

a.) 0.80

b.) 0.70

c.) 0.90

d.) 0.70

Homework Answers

Answer #1

Answer - 1: The true statement about slope is:

One unit change in study time will increase the GPA by 0.04391 unit.

Option A is correct.

Answer - 2: The statistical software output for this problem is:

From above output:

Correlation coefficient = 0.80

Option A is correct.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An engineering student has designed a new cloths dryer. X: temperature setting in ∘F, Y: actual...
An engineering student has designed a new cloths dryer. X: temperature setting in ∘F, Y: actual interior temperature during cycle ∘F. She has collected the following n=5 samples: X Y 140 170 145 174 150 172 155 178 160 176 Find the correlation coefficient, r. a.) 0.80 b.) 0.70 c.) 0.90 d.) 0.70 Following question 10 about the new cloths dryer (given the table): What is the fitted simple linear regression equation? In the answer choices, Y^ is representing the...
(Typed work preferable. Show step-by-step please.) 1. A researcher collected at random one child from each...
(Typed work preferable. Show step-by-step please.) 1. A researcher collected at random one child from each of the eight families in which there was at least one child. She recorded the following data to study the effects of number of siblings (X) on happiness of the child (Y), measured on an interval scale in which low scores indicate a low level of happiness and high scores indicate a high level of happiness: X Y 1 5 0 3 2 4...
In a small-scale regression study, we collected data on the number of children in a family...
In a small-scale regression study, we collected data on the number of children in a family Xi and the number of hours per week spent shopping Yi. The following data were obtained: i 1 2 3 4 5 6 Xi 2 6 3 1 1 9 Yi 13 17 12 12 9 22 Assume we performed a simple linear regression of Yi on Xi, i.e. E(Yi) = ?0 + ?1Xi (a) By hand compute X?X, X?Y, (X?X)-1, b, Y^(means Y-hat),...
Question 4: Analysts at a major automobile company collected data on a variety of variables for...
Question 4: Analysts at a major automobile company collected data on a variety of variables for a sample of 30 different cars and small trucks.  Included among those data were the EPA highway mileage rating and the horsepower of each vehicle.  The analysts were interested in the relationship between horsepower (x) and highway mileage (y). Given below is the Excel output from regressing starting miles per gallon (MPG) on number of horsepower for a sample of 30 students.     Note: Some of the...
1. A researcher conducts a survey to determine the relationship between aptitude for mathematics and musical...
1. A researcher conducts a survey to determine the relationship between aptitude for mathematics and musical ability. She finds a perfect relationship. High levels of mathematics aptitude are associated with low levels of musical ability. Given this information, what is the value of the correlation coefficient for the above study? ______________ 2. You obtain a score of 80 on a test. If the test is graded on a ‘curve’ (based on how you did in comparison with the class as...
Researchers examined the relationship between Age (x) in years and blood-brain barrier (BBB) permeability (y) in...
Researchers examined the relationship between Age (x) in years and blood-brain barrier (BBB) permeability (y) in transfer units. They collected a simple random sample of 24 adults from the New York City region and measured BBB permeability in the hippocampus. They decide to use least-squares regression to estimate the population regression line: μy=α+βx The results from their analysis include: a=0.67,b=0.016,s=0.0181,SEa=0.84,SEb=0.0037,r2=0.84 (a) What does the estimate of the slope for the least-squares regression line tells us? A. For every 1 year...
A company ran tests of its current internal computer network. Thirty files ranging in size from...
A company ran tests of its current internal computer network. Thirty files ranging in size from 20 to 100 megabytes​ (MB) were transmitted over the network at various times of​ day, and the time to send the files​ recorded, as shown in the accompanying data table. Formulate the simple linear regression with Y given by Transfer Time and X given by File Size. Complete parts​ (a) through​ (f) below. Data table of file sizes and transfer times File size (MB)  ...
When a controlled process changes from 3s control to 6s control, it implies the s of...
When a controlled process changes from 3s control to 6s control, it implies the s of the parameter remains the same. the distance between USL-LSL becomes smaller the distance between UCL-LCL becomes smaller the % of reject increases none of the above is true In a simple linear regression analysis, the following sum of squares are produced:    The proportion of the variation in y that is explained by the variation in x is: 20% 80% 25% 50% none of...
1. For a pair of sample x- and y-values, what is the difference between the observed...
1. For a pair of sample x- and y-values, what is the difference between the observed value of y and the predicted value of y? a) An outlier b) The explanatory variable c) A residual d) The response variable 2. Which of the following statements is false: a) The correlation coefficient is unitless. b) A correlation coefficient of 0.62 suggests a stronger correlation than a correlation coefficient of -0.82. c) The correlation coefficient, r, is always between -1 and 1....
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel...
Bivariate Data & Probability After completing the calculation by hand in Q1 you can use Excel to check your answers before submitting. Q2 assesses your general understanding of probability and linear associations using Excel to analyse a large dataset. Question 1       Covariance and Correlation The table below shows a set of sample bivariate data. Calculate the covariance and correlation coefficient by completing the below table. Show all working. X Y (X - ) (Y - ) (X - )(Y -...