solve question (a) with explanation i'll give multiple upvote

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
icon
Related questions
Question
solve question (a) with explanation i'll give multiple upvote
1. In a study of the relationship between rainfall totals (x in cm) and average streamflow in a river
the next day (y in m³/s), a sample of size 10 was analyzed. Results are summarized as follows:
Average streamflow
(m³/s)
Rainfall total (cm)
Mean
4
88
Standard deviation
1.88
7.19
Using the raw data, the following is also calculated:
Σχι 40, Σνι - 880, Σχ192, Σν 77906, Σχινι 3632
Sxx = 32
Syy =
= 466
Sxy = 112
a) Can rainfall total be used as a predictor for the average stream flow of this river? Show all
your calculations (including prediction) and explain your conclusion.
b) If the average streamflow exceeds 115 m/s, the overflow of the river causes flooding in
nearby houses. If the total rainfall reaches 10 cm in a spring day, can you state that river-
view houses will be flooded the next day, with 95% confidence?
c) What are different statistical analyses that you can do to ensure this prediction line is
reliable? Just name them, no explanation needed.
Transcribed Image Text:1. In a study of the relationship between rainfall totals (x in cm) and average streamflow in a river the next day (y in m³/s), a sample of size 10 was analyzed. Results are summarized as follows: Average streamflow (m³/s) Rainfall total (cm) Mean 4 88 Standard deviation 1.88 7.19 Using the raw data, the following is also calculated: Σχι 40, Σνι - 880, Σχ192, Σν 77906, Σχινι 3632 Sxx = 32 Syy = = 466 Sxy = 112 a) Can rainfall total be used as a predictor for the average stream flow of this river? Show all your calculations (including prediction) and explain your conclusion. b) If the average streamflow exceeds 115 m/s, the overflow of the river causes flooding in nearby houses. If the total rainfall reaches 10 cm in a spring day, can you state that river- view houses will be flooded the next day, with 95% confidence? c) What are different statistical analyses that you can do to ensure this prediction line is reliable? Just name them, no explanation needed.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill