Data are collected on the relationship between the number of hours per week prac
ID: 3316390 • Letter: D
Question
Data are collected on the relationship between the number of hours per week practicing a musical instrument and scores on a math test. The line of best fit is as follows: = 72.5 + 2.8x.
What would you predict the score on a math test would be for a student who practices a musical instrument for 6.9 hours a week? Round to one decimal place
The following data (showing the number of hurricanes by category to directly strike the mainland U.S. each decade) obtained from www.nhc.noaa.gov/gifs/table6.gif A major hurricane is one with a strength rating of 3, 4 or 5.
Decade Total Number of Hurricanes Number of Major Hurricanes
1941-1950 24 10
1951-1960 17 8
1961-1970 14 6
1971-1980 12 4
1981-1990 15 5
1991-2000 14 5
2001 – 2004 9 3
Using only completed decades (1941 – 2000), calculate the least squares line for the number of major hurricanes expected based upon the total number of hurricanes.
DO NOT INCLUDE THE LAST LINE IN THE TABLE.
[y with logical and on top equals 9.93 x minus 1.03]
[y with logical and on top equals minus 1.03 x minus 9.93]
[y with logical and on top equals 1.03 x plus 9.93]
[y with logical and on top equals minus 1.03 x plus 9.93]
The following data (showing the number of hurricanes by category to directly strike the mainland U.S. each decade) obtained from www.nhc.noaa.gov/gifs/table6.gif A major hurricane is one with a strength rating of 3, 4 or 5.
Decade Total Number of Hurricanes Number of Major Hurricanes
1941-1950 24 10
1951-1960 17 8
1961-1970 14 6
1971-1980 12 4
1981-1990 15 5
1991-2000 14 5
2001 – 2004 9 3
The correlation coefficient is -0.8549. Is this considered significant? Why or why not?
No, because -0.855 is outside the interval with the critical value endpoints of [plus-or-minus] 0.811.
Yes, because -0.855 is outside the interval with the critical value endpoints of [plus-or-minus] 0.811.
No, because -0.855 is inside the interval with the critical value endpoints of [plus-or-minus] 0.811.
Yes, because -0.855 is inside the interval with the critical value endpoints of [plus-or-minus] 0.811.
The following data (showing the number of hurricanes by category to directly strike the mainland U.S. each decade) obtained from www.nhc.noaa.gov/gifs/table6.gif A major hurricane is one with a strength rating of 3, 4 or 5.
Table 17
Decade Total Number of Hurricanes Number of Major Hurricanes
1941-1950 24 10
1951-1960 17 8
1961-1970 14 6
1971-1980 12 4
1981-1990 15 5
1991-2000 14 5
2001 – 2004 9 3
The data for 2001-2004 show 9 hurricanes have hit the mainland United States. The trend line predicts 2.72 major hurricanes to hit mainland U.S for 2001-2010. Can the trend line line be used to make this prediction?
No, because r is not significant even though the data shows a liinear trend.
Yes, because r is significant from the major hurricane data. Also the data shows a linear trend.
No, because the data seems not to be linear and r is not significant.
Yes, because how else could we predict what is going to happen this decade.
Explanation / Answer
Here the line of best fit is as follows: = 72.5 + 2.8x.
So for x=6.9 we will get as = 72.5 + 2.8*6.9=91.82
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