
Concept explainers
A
- a. Find the value of y so that r = 1.
- b. Find the value of y so that r = 0.
- c. Find the value of y so that r = 0.5.
- d. Find the value of y so that r = –0.5.
- e. Give a geometric argument to show that there no value of y for which r = –1.
Express
Now
For any given value of r, substitute r into
a.

Find the value of y so that
Answer to Problem 14E
The value of y is 2.
Explanation of Solution
Calculation:
The given information is that the scatterplot contain the 4 points,
The 5th point that is added to the plot is
The mean for x is calculated as follows:
The value of
The mean for y is calculated as follows:
The value of y is,
Express
Express
Express r in terms of
Squaring on both sides,
Substitute
The value of y is,
Thus, the value of y is 2.
b.

Find the value of y so that
Answer to Problem 14E
The value of y is –3.
Explanation of Solution
Calculation:
The value of y is calculated as follows:
Substitute
The value of y is,
Thus, the value of y is –3.
c.

Find the value of y so that
Answer to Problem 14E
If
Explanation of Solution
Calculation:
The value of y is calculated as follows:
Substitute
On simplification,
If
If
Thus, the value of y is –3.
d.

Find the value of y so that
Answer to Problem 14E
If
Explanation of Solution
Calculation:
From part c., if
Thus, the value of y is –9.830125.
e.

Show that there is no value y for which
Explanation of Solution
Conclusion:
If the correlation coefficient is equal to –1, then the point lies on a straight line with negative slope. In this case, there is no value for y.
Want to see more full solutions like this?
Chapter 7 Solutions
Statistics for Engineers and Scientists
Additional Math Textbook Solutions
Introductory Statistics
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
Thinking Mathematically (6th Edition)
Calculus: Early Transcendentals (2nd Edition)
Elementary Algebra For College Students (10th Edition)
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
- Given your fitted regression line, what would be the residual for snake #5 (10 C)?arrow_forwardCalculate the 95% confidence interval around your estimate of r using Fisher’s z-transformation. In your final answer, make sure to back-transform to the original units.arrow_forwardCalculate Pearson’s correlation coefficient (r) between temperature and heart rate.arrow_forward
- A researcher wishes to estimate, with 90% confidence, the population proportion of adults who support labeling legislation for genetically modified organisms (GMOs). Her estimate must be accurate within 4% of the true proportion. (a) No preliminary estimate is available. Find the minimum sample size needed. (b) Find the minimum sample size needed, using a prior study that found that 65% of the respondents said they support labeling legislation for GMOs. (c) Compare the results from parts (a) and (b). ... (a) What is the minimum sample size needed assuming that no prior information is available? n = (Round up to the nearest whole number as needed.)arrow_forwardThe table available below shows the costs per mile (in cents) for a sample of automobiles. At a = 0.05, can you conclude that at least one mean cost per mile is different from the others? Click on the icon to view the data table. Let Hss, HMS, HLS, Hsuv and Hмy represent the mean costs per mile for small sedans, medium sedans, large sedans, SUV 4WDs, and minivans respectively. What are the hypotheses for this test? OA. Ho: Not all the means are equal. Ha Hss HMS HLS HSUV HMV B. Ho Hss HMS HLS HSUV = μMV Ha: Hss *HMS *HLS*HSUV * HMV C. Ho Hss HMS HLS HSUV =μMV = = H: Not all the means are equal. D. Ho Hss HMS HLS HSUV HMV Ha Hss HMS HLS =HSUV = HMVarrow_forwardQuestion: A company launches two different marketing campaigns to promote the same product in two different regions. After one month, the company collects the sales data (in units sold) from both regions to compare the effectiveness of the campaigns. The company wants to determine whether there is a significant difference in the mean sales between the two regions. Perform a two sample T-test You can provide your answer by inserting a text box and the answer must include: Null hypothesis, Alternative hypothesis, Show answer (output table/summary table), and Conclusion based on the P value. (2 points = 0.5 x 4 Answers) Each of these is worth 0.5 points. However, showing the calculation is must. If calculation is missing, the whole answer won't get any credit.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL





