The Seaberg Library is interested in the relationship between the inches of rain in a month...

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Advance Math

The Seaberg Library is interested in the relationship betweenthe inches of rain in a month and the number of patrons visitingthe library in a month. They collect data for seven monthsbelow.
Inches of Rain/Month
# Patrons/Month
2 150
4 155
7 300
12 400
22 450
10 400
13 410
a) State your null formally and in lay terms for a simpleregression (10)
b) Calculate r and the regression line (y = a + bx) andreject/accept at a=.05. You must state the estimated regressionline even if Ho is accepted. (10)
c) Explain your findings in lay terms using r-square, r, b asappropriate (20)
d) Calculate a 95% confidence interval for the slope IFNECESSARY and if not explain WHY NOT. Provide the formal intervaland explain in layterms. (5)

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3.5 Ratings (368 Votes)

IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BETTHERE TO HELP YOUANSWEREXPLANATIONAnswer a and bWe shall consider rainfall as the explanatoryvariable and the number of patron visits as the response variablebecause the rainfall is not dependent on any factor in theobservationNow let us perform the hypothesis testing of theregression equationThe solution to this problem takes four steps 1state the hypotheses 2 formulate an analysis plan 3 analyzesample data and 4 interpret results We work through those stepsbelowState the hypotheses The first step is to statethe null hypothesis and an alternative hypothesisHo The slope of the regression line isequal to zeroHa The slope of the regression line isnot equal to zeroIf the relationship between home size and See Answer

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Inches of Rain/Month	# Patrons/Month
2	150
4	155
7	300
12	400
22	450
10	400
13	410