Use the following informtion to answer the questions below. The manufacturer of
ID: 3309226 • Letter: U
Question
Use the following informtion to answer the questions below.
The manufacturer of Heart-Glide exercise equipment wants to study the relationship between x = the number of months since the glide was purchased and y = the length of time the equipment was used last week. Data was gathered from a random sample of n=10 customers and the estimated regression equation was calculated using R. The R output is shown below.
a. Use a t-value rounded to three decimals to calculate a 95% confidence interval for the slope. Enter the LOWER value for the confidence interval, rounded to two decimal places.
b. Use a t-value rounded to three decimals to calculate a 95% confidence interval for the slope. Enter the UPPER value for the confidence interval, rounded to two decimal places.
Explanation / Answer
t-value Calculated= -4.160 , S.E = 0.1531 and t value critical =2.31 (two tailed) with (n-2)= (10-2)= 8df at 0.05 level of Significance
Slope = -0.6368
a)Lower bound= -0.6368-0.1531*2.31= -0.6368-0.353661= -0.990461= -0.99
b) Upper bound= -0.6368+0.1531*2.31= -0.6368+0.3637= -0.283139= -0.28